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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Home > Category Index for Science Quotations > Category Index M > Category: Mass

Mass Quotes (160 quotes)

...a man estimable for his learning, amiable for his life, and venerable for his piety. Arbuthnot was a man of great comprehension, skilful in his profession, versed in the sciences, acquainted with ancient literature, and able to animate his mass of knowledge by a bright and active imagination; a scholar with great brilliance of wit; a wit who, in the crowd of life, retained and discovered a noble ardour of religious zeal.
The Lives of the English Poets (1826), vol. 2, 257.
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...after my first feeling of revulsion had passed, I spent three of the most entertaining and instructive weeks of my life studying the fascinating molds which appeared one by one on the slowly disintegrating mass of horse-dung. Microscopic molds are both very beautiful and absorbingly interesting. The rapid growth of their spores, the way they live on each other, the manner in which the different forms come and go, is so amazing and varied that I believe a man could spend his life and not exhaust the forms or problems contained in one plate of manure.
The World Was My Garden (1938, 1941), 55.
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[Coleridge] selected an instance of what was called the sublime, in DARWIN, who imagined the creation of the universe to have taken place in a moment, by the explosion of a mass of matter in the womb, or centre of space. In one and the same instant of time, suns and planets shot into systems in every direction, and filled and spangled the illimitable void! He asserted this to be an intolerable degradation—referring, as it were, all the beauty and harmony of nature to something like the bursting of a barrel of gunpowder! that spit its combustible materials into a pock-freckled creation!
In Seamus Perry (eds.), Coleridge’s Responses: Vol. 1: Coleridge on Writers and Writing (2007), 338-339.
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[Decimal currency is desirable because] by that means all calculations of interest, exchange, insurance, and the like are rendered much more simple and accurate, and, of course, more within the power of the great mass of people. Whenever such things require much labor, time, and reflection, the greater number who do not know, are made the dupes of the lesser number who do.
Letter to Congress (15 Jan 1782). 'Coinage Scheme Proposed by Robert Morris, Superintendent of Finance', from MS. letters and reports of the Superintendent of Finance, No, 137, Vol. 1, 289-300. Reprinted as Appendix, in Executive Documents, Senate of the U.S., Third Session of the Forty-Fifth Congress, 1878-79 (1879), 430.
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[In the beginning, before creation] There was neither Aught nor Naught, no air nor sky beyond. …
[There was only]
A self-supporting mass beneath, and energy above.
Who knows, who ever told, from whence this vast creation rose?
No gods had yet been born—who then can e’er the truth disclose?
In Rigveda. In John Robson, Hinduism and Its Relations to Christianity (1893), 17.
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[John] Dalton was a man of regular habits. For fifty-seven years he walked out of Manchester every day; he measured the rainfall, the temperature—a singularly monotonous enterprise in this climate. Of all that mass of data, nothing whatever came. But of the one searching, almost childlike question about the weights that enter the construction of these simple molecules—out of that came modern atomic theory. That is the essence of science: ask an impertinent question, and you are on the way to the pertinent answer.
The Ascent of Man (1973), 153.
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[O]ur long-term security is threatened by a problem at least as dangerous as chemical, nuclear or biological weapons, or indeed international terrorism: human-induced climate change. … The impacts of global warming are such that I have no hesitation in describing it as a “weapon of mass destruction.” Like terrorism, this weapon knows no boundaries. It can strike anywhere, in any form…
London Guardian (28 Jul 2003)
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Ante mare, et terras, et quod tegit omnia caelum, unus erat toto naturae vultus in orbe, quem dixere chaos: rudis indigestaque moles; nec quicquam, nisi pondus iners; congestaque eodem non bene iunctarum discordia, semina rerum.
Before there was the sea, the earth and the sky canopy, Nature presented the same aspect throughout the world, which men called Chaos: a raw, disorganized bulk; nothing but an inert mass; a jumbled heap of primordial things.
The original Latin text of Ovid’s Metamorphoses, Book 1, lines 5-9, in which he described the Creation of the universe. It is freely translated by Webmaster blending several sources. See, for example, Locke (trans.), The First Book of Ovid's Metamorphoses, with a Literal Interlinear Translation (1828), 2, or Mary Innes (trans.), The Metamorphoses of Ovid (1955), 29.
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Dilbert: And we know mass creates gravity because more dense planets have more gravity.
Dogbert: How do we know which planets are more dense?
Dilbert:They have more gravity.
Dogbert: That's circular reasoning.
Dilbert: I prefer to think of it as having no loose ends.
Dilbert cartoon strip (1 Mar 1999).
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A black hole has no hair.
[Summarizing the simplicity of a black hole, which shows only three characteristics to the outside world (mass, charge, spin) and comparing the situation to a room full of bald-pated people who had one characteristic in common, but no differences in hair length, style or color for individual variations.]
In Geons, Black Holes, and Quantum Foam (2000), 297. Quote introduced previously as the No-Hair Theorem in Charles W. Misner, Kip S. Thorne and John Wheeler, Gravitation (1973).
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A cosmic mystery of immense proportions, once seemingly on the verge of solution, has deepened and left astronomers and astrophysicists more baffled than ever. The crux ... is that the vast majority of the mass of the universe seems to be missing.
[Reporting a Nature article discrediting explanation of invisible mass being due to neutrinos]
In 'If Theory is Right, Most of Universe is Still “Missing”', New York Times (11 Sep 1984).
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A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.
Unterrichtsblätter für Mathematik und Naturwissenschaften (1932), 38, 177-188. As translated by Abe Shenitzer, in 'Part I. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension', The American Mathematical Monthly (May 1995), 102, No. 7, 453.
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A prominent official was asked to deliver an after-dinner speech at the banquet recently held in Cambridge, Mass., for the Mathematicians at the International Congress. “What do you wish me to speak about?" he asked. "About five minutes," was the answer.
Anonymous
Found as a space filler, Pi Mu Epsilon Journal (1949), 1, No. 1, 102.
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Adapting from the earlier book Gravitation, I wrote, “Spacetime tells matter how to move; matter tells spacetime how to curve.” In other words, a bit of matter (or mass, or energy) moves in accordance with the dictates of the curved spacetime where it is located. … At the same time, that bit of mass or energy is itself contributing to the curvature of spacetime everywhere.
With co-author Kenneth William Ford Geons, Black Holes, and Quantum Foam: A Life in Physics (1998, 2010), 235. Adapted from his earlier book, co-authored with Charles W. Misner and Kip S. Thorne, Gravitation (1970, 1973), 5, in which one of the ideas in Einstein’s geometric theory of gravity was summarized as, “Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve”.
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After the planet becomes theirs, many millions of years will have to pass before a beetle particularly loved by God, at the end of its calculations will find written on a sheet of paper in letters of fire that energy is equal to the mass multiplied by the square of the velocity of light. The new kings of the world will live tranquilly for a long time, confining themselves to devouring each other and being parasites among each other on a cottage industry scale.
'Beetles' Other People’s Trades (1985, trans. 1989).
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Among the planets, Jupiter is definitely the solar system’s bad boy in disturbing the motions of all the planets and asteroids[, with] … a “lion’s share” of the mass of the entire planet family….
In Earth, Moon and Planets (1963), 29.
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Analogy is a wonderful, useful and most important form of thinking, and biology is saturated with it. Nothing is worse than a horrible mass of undigested facts, and facts are indigestible unless there is some rhyme or reason to them. The physicist, with his facts, seeks reason; the biologist seeks something very much like rhyme, and rhyme is a kind of analogy.... This analogizing, this fine sweeping ability to see likenesses in the midst of differences is the great glory of biology, but biologists don't know it.... They have always been so fascinated and overawed by the superior prestige of exact physical science that they feel they have to imitate it.... In its central content, biology is not accurate thinking, but accurate observation and imaginative thinking, with great sweeping generalizations.
In Science is a Sacred Cow (1950), 98-100.
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Any frontal attack on ignorance is bound to fail because the masses are always ready to defend their most precious possession: their ignorance.
Quote appears in Henry Wysham Lanier, The Golden Book Magazine (Feb 1933), 17, 10.
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Any opinion as to the form in which the energy of gravitation exists in space is of great importance, and whoever can make his opinion probable will have, made an enormous stride in physical speculation. The apparent universality of gravitation, and the equality of its effects on matter of all kinds are most remarkable facts, hitherto without exception; but they are purely experimental facts, liable to be corrected by a single observed exception. We cannot conceive of matter with negative inertia or mass; but we see no way of accounting for the proportionality of gravitation to mass by any legitimate method of demonstration. If we can see the tails of comets fly off in the direction opposed to the sun with an accelerated velocity, and if we believe these tails to be matter and not optical illusions or mere tracks of vibrating disturbance, then we must admit a force in that direction, and we may establish that it is caused by the sun if it always depends upon his position and distance.
Letter to William Huggins (13 Oct 1868). In P. M. Hannan (ed.), The Scientific Letters and Papers of James Clerk Maxwell (1995), Vol. 2, 1862-1873, 451-2.
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As the Director of the Theoretical Division of Los Alamos, I participated at the most senior level in the World War II Manhattan Project that produced the first atomic weapons.
Now, at age 88, I am one of the few remaining such senior persons alive. Looking back at the half century since that time, I feel the most intense relief that these weapons have not been used since World War II, mixed with the horror that tens of thousands of such weapons have been built since that time—one hundred times more than any of us at Los Alamos could ever have imagined.
Today we are rightly in an era of disarmament and dismantlement of nuclear weapons. But in some countries nuclear weapons development still continues. Whether and when the various Nations of the World can agree to stop this is uncertain. But individual scientists can still influence this process by withholding their skills.
Accordingly, I call on all scientists in all countries to cease and desist from work creating, developing, improving and manufacturing further nuclear weapons - and, for that matter, other weapons of potential mass destruction such as chemical and biological weapons.
[On the occasion of the 50th Anniversary of Hiroshima.]
Letter, Bulletin of the Atomic Scientists (Nov 1995), 51:6, 3.
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At first, the sea, the earth, and the heaven, which covers all things, were the only face of nature throughout the whole universe, which men have named Chaos; a rude and undigested mass, and nothing more than an inert weight, and the discordant atoms of things not harmonizing, heaped together in the same spot.
Describing the creation of the universe from chaos, at the beginning of Book I of Metamorphoses, lines 5-9. As translated by Henry T. Riley, The Metamorphoses of Ovid, Vol I: Books I-VII (1858), 1-2. Riley footnoted: “A rude and undigested mass.—Ver. 7. This is very similar to the words of the Scriptures, ‘And the earth was without form and void,’ Genesis, ch. i. ver. 2.”
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At the planet’s very heart lies a solid rocky core, at least five times larger than Earth, seething with the appalling heat generated by the inexorable contraction of the stupendous mass of material pressing down to its centre. For more than four billion years Jupiter’s immense gravitational power has been squeezing the planet slowly, relentlessly, steadily, converting gravitational energy into heat, raising the temperature of that rocky core to thirty thousand degrees, spawning the heat flow that warms the planet from within. That hot, rocky core is the original protoplanet seed from the solar system’s primeval time, the nucleus around which those awesome layers of hydrogen and helium and ammonia, methane, sulphur compounds and water have wrapped themselves.
Ben Bova
Jupiter
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Before the seas and lands had been created, before the sky that covers everything, Nature displayed a single aspect only throughout the cosmos; Chaos was its name, a shapeless, unwrought mass of inert bulk and nothing more, with the discordant seeds of disconnected elements all heaped together in anarchic disarray.
Describing the creation of the universe from chaos, at the beginning of Book I of Metamorphoses, lines 5-9. As translated in Charles Martin (trans.), Metamorphoses (2004), 15.
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Before the seas, and this terrestrial ball,
And Heav’n’s high canopy, that covers all,
One was the face of Nature; if a face:
Rather a rude and indigested mass:
A lifeless lump, unfashion’d, and unfram’d,
Of jarring seeds; and justly Chaos nam’d.
As translated by John Dryden, et al. and Sir Samuel Garth (ed.), Metamorphoses (1998), 3. Ovid started writing the 14 books of Metamorphoses in about 1 a.d.. Dryden died in 1700. He had translated about one-third of the full Metamorphoses. His work was finished by others, and the translation was published in 1717.
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But when we face the great questions about gravitation Does it require time? Is it polar to the 'outside of the universe' or to anything? Has it any reference to electricity? or does it stand on the very foundation of matter–mass or inertia? then we feel the need of tests, whether they be comets or nebulae or laboratory experiments or bold questions as to the truth of received opinions.
Letter to Michael Faraday, 9 Nov 1857. In P. M. Harman (ed.), The Scientific Letters and Papers of James Clerk Maxwell (1990), Vol. 1, 1846-1862, 551-2.
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Children are told that an apple fell on Isaac Newton’s head and he was led to state the law of gravity. This, of course, is pure foolishness. What Newton discovered was that any two particles in the universe attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This is not learned from a falling apple, but by observing quantities of data and developing a mathematical theory that can be verified by additional data. Data gathered by Galileo on falling bodies and by Johannes Kepler on motions of the planets were invaluable aids to Newton. Unfortunately, such false impressions about science are not universally outgrown like the Santa Claus myth, and some people who don’t study much science go to their graves thinking that the human race took until the mid-seventeenth century to notice that objects fall.
In How to Tell the Liars from the Statisticians (1983), 127.
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Considered from the standpoint of chemistry, living bodies appear to us as laboratories of chemical processes, for they undergo perpetual changes in their material substrate. They draw materials from the outside world and combine them with the mass of their liquid and solid parts.
In 'Allgemeine Betrachtungen der orgauischen Korper', Physiologie des Menschen (1830), Vol. 1, 34. Trans. in Kenneth L. Caneva, Robert Mayer and the Conservation of Energy (1993), 7I.
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Dalton transformed the atomic concept from a philosophical speculation into a scientific theory—framed to explain quantitative observations, suggesting new tests and experiments, and capable of being given quantitative form through the establishment of relative masses of atomic particles.
Development of Concepts of Physics. In Clifford A. Pickover, Archimedes to Hawking: Laws of Science and the Great Minds Behind Them (2008), 175.
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Dissection … teaches us that the body of man is made up of certain kinds of material, so differing from each other in optical and other physical characters and so built up together as to give the body certain structural features. Chemical examination further teaches us that these kinds of material are composed of various chemical substances, a large number of which have this characteristic that they possess a considerable amount of potential energy capable of being set free, rendered actual, by oxidation or some other chemical change. Thus the body as a whole may, from a chemical point of view, be considered as a mass of various chemical substances, representing altogether a considerable capital of potential energy.
From Introduction to A Text Book of Physiology (1876, 1891), Book 1, 1.
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During the time of the Deluge, whilst the Water was out upon, and covered the Terrestrial Globe, … all Fossils whatever that had before obtained any Solidity, were totally dissolved, and their constituent Corpuscles all disjoyned, their Cohesion perfectly ceasing … [A]nd, to be short, all Bodies whatsoever that were either upon the Earth, or that constituted the Mass of it, if not quite down to the Abyss, yet at least to the greatest depth we ever dig: I say all these were assumed up promiscuously into the Water, and sustained in it, in such a manner that the Water, and Bodies in it, together made up one common confused Mass. That at length all the Mass that was thus borne up in the Water, was again precipitated and subsided towards the bottom. That this subsidence happened generally, and as near as possibly could be expected in so great a Confusion, according to the laws of Gravity.
In An Essay Toward A Natural History of the Earth (1695), 74-75.
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Equipped with our five senses, along with telescopes and microscopes and mass spectrometers and seismographs and magnetometers and particle accelerators and detectors across the electromagnetic spectrum, we explore the universe around us and call the adventure science.
In magazine article, 'Coming to our Senses', Natural History Magazine (Mar 2001). Collected in Death by Black Hole: And Other Cosmic Quandaries (2007), 28. This is Tyson’s respectful update of a quote by Edwin P. Hubble in 1954: “Equipped with his five senses, man explores the universe around him and calls the adventure science.” (See Science Quotations by Edwin Hubble.)
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Ere land and sea and the all-covering sky
Were made, in the whole world the countenance
Of nature was the same, all one, well named
Chaos, a raw and undivided mass,
Naught but a lifeless bulk, with warring seeds
Of ill-joined elements compressed together.
Ovid’s description of the Creation of the universe at the beginning of Metamorphoses, Book I, lines 5-9, as translated in A.D. Melville (trans.), Ovid: Metamorphoses (1987), 1.
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Even more difficult to explain, than the breaking-up of a single mass into fragments, and the drifting apart of these blocks to form the foundations of the present-day continents, is the explanation of the original production of the single mass, or PANGAEA, by the concentration of the former holosphere of granitic sial into a hemisphere of compressed and crushed gneisses and schists. Creep and the effects of compression, due to shrinking or other causes, have been appealed to but this is hardly a satisfactory explanation. The earth could no more shrug itself out of its outer rock-shell unaided, than an animal could shrug itself out of its hide, or a man wriggle out of his skin, or even out of his closely buttoned coat, without assistance either of his own hands or those of others.
The Rhythm of Ages (1940), 9-10.
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Evolution is a blind giant who rolls a snowball down a hill. The ball is made of flakes—circumstances. They contribute to the mass without knowing it. They adhere without intention, and without foreseeing what is to result. When they see the result they marvel at the monster ball and wonder how the contriving of it came to be originally thought out and planned. Whereas there was no such planning, there was only a law: the ball once started, all the circumstances that happened to lie in its path would help to build it, in spite of themselves.
'The Secret History of Eddypus', in Mark Twain and David Ketterer (ed.), Tales of Wonder (2003), 222-23.
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Fermentation is the exhalation of a substance through the admixture of a ferment which, by virtue of its spirit, penetrates the mass and transforms it into its own nature.
Die Alchemie des Andreas Ubavius, ein Lehrbuch der Chemie aus dem Jahre 1597, trans. E. Pietsch and A. Kotowsld (1964), 3-4. Joseph S. Froton, Proteins, Enzymes, Genes: The Interplay of Chemistry and Biology (1999), 119.
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For any two portions of fire, small or great, will exhibit the same ratio of solid to void; but the upward movement of the greater is quicker than that of the less, just as the downward movement of a mass of gold or lead, or of any other body endowed with weight, is quicker in proportion to its size.
Aristotle
On the Heavens, 309b, 11-5. In Jonathan Barnes (ed.), The Complete Works of Aristotle (1984), Vol. I, 505.
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For the educated, the authority of science rested on the strictness of its method; for the mass, it rested on its powers of explanation.
In Science: The Glorious Entertainment (1964).
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Given a large mass of data, we can by judicious selection construct perfectly plausible unassailable theories—all of which, some of which, or none of which may be right.
I-Ching and the citric acid cycle. Unpublished manuscript/seminar notes quoted in Frederick Grinnell, Everyday Practice of Science (2008), 86.
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He (Anaxagoras) is said to have been twenty years old at the time of Xerxes' crossing, and to have lived to seventy-two. Apollodorus says in his Chronicles that he was born in the seventieth Olympiad (500-497 B.C.) and died in the first year of the eighty-eighth (428/7). He began to be a philosopher at Athens in the archonship of Callias (456/5), at the age of twenty, as Demetrius Phalereus tells us in his Register of Archons, and they say he spent thirty years there. … There are different accounts given of his trial. Sotion, in his Succession of Philosophers, says that he was prosecuted by Cleon for impiety, because he maintained that the sun was a red hot mass of metal, and after that Pericles, his pupil, had made a speech in his defence, he was fined five talents and exiled. Satyrus in his Uves, on the other hand, says that the charge was brought by Thucydides in his political campaign against Pericles; and he adds that the charge was not only for the impiety but for Medism as well; and he was condemned to death in his absence. ... Finally he withdrew to Lampsacus, and there died. It is said that when the rulers of the city asked him what privilege he wished to be granted, he replied that the children should be given a holiday every year in the month in which he died. The custom is preserved to the present day. When he died the Lampsacenes buried him with full honours.
Diogenes Laërtius 2.7. In G. S. Kirk, J. E. Raven and M. Schofield (eds.), The Presocratic Philosophers: A Critical History with a Selection of Texts (1983), p. 353.
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Hence dusky Iron sleeps in dark abodes,
And ferny foliage nestles in the nodes;
Till with wide lungs the panting bellows blow,
And waked by fire the glittering torrents flow;
Quick whirls the wheel, the ponderous hammer falls,
Loud anvils ring amid the trembling walls,
Strokes follow strokes, the sparkling ingot shines,
Flows the red slag, the lengthening bar refines;
Cold waves, immersed, the glowing mass congeal,
And turn to adamant the hissing Steel.
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I could clearly see that the blood is divided and flows through tortuous vessels and that it is not poured out into spaces, but is always driven through tubules and distributed by the manifold bendings of the vessels... [F]rom the simplicity Nature employs in all her works, we may conclude... that the network I once believed to be nervous [that is, sinewy] is really a vessel intermingled with the vesicles and sinuses and carrying the mass of blood to them or away from them... though these elude even the keenest sight because of their small size... From these considerations it is highly probable that the question about the mutual union and anastomosis of the vessels can be solved; for if Nature once circulates the blood within vessels and combines their ends in a network, it is probable that they are joined by anastomosis at other times too.
'The Return to Bologna 1659-1662', in H. B. Adelmann (ed.), Marcello Malpighi and the Evolution of Embryology (1966), Vol. 1, 194-5.
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I feel like a white granular mass of amorphous crystals—my formula appears to be isomeric with Spasmotoxin. My aurochloride precipitates into beautiful prismatic needles. My Platinochloride develops octohedron crystals,—with fine blue florescence. My physiological action is not indifferent. One millionth of a grain injected under the skin of a frog produced instantaneous death accompanied by an orange blossom odor. The heart stopped in systole. A base—L3H9NG4—offers analogous reaction to phosmotinigstic acid.
In letter to George M. Gould (1889), collected in Elizabeth Bisland The Writings of Lafcadio Hearn (1922), Vol. 14, 89.
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I have done a terrible thing: I have postulated a particle that cannot be detected.
After postulating the existence of the neutrino, a particle with no mass and no electric charge, in order to balance an equation. In an article in Mercury, 29, 29, it is stated, without citation, that “the day after making the proposal Pauli told his colleague Walter Baade.” Webmaster has looked, but not yet found a primary source. Can you help?
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I speak as a planetary physician whose patient, the living Earth, complains of fever; I see the Earth’s declining health as our most important concern, our very lives depending upon a healthy Earth. Our concern for it must come first, because the welfare of the burgeoning mass of humanity demands a healthy planet.
In The Revenge of Gaia: Earth’s Climate Crisis & The Fate of Humanity (2006, 2007), 2.
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I think that the unity we can seek lies really in two things. One is that the knowledge which comes to us at such a terrifyingly, inhumanly rapid rate has some order in it. We are allowed to forget a great deal, as well as to learn. This order is never adequate. The mass of ununderstood things, which cannot be summarized, or wholly ordered, always grows greater; but a great deal does get understood.
The second is simply this: we can have each other to dinner. We ourselves, and with each other by our converse, can create, not an architecture of global scope, but an immense, intricate network of intimacy, illumination, and understanding. Everything cannot be connected with everything in the world we live in. Everything can be connected with anything.
Concluding paragraphs of 'The Growth of Science and the Structure of Culture', Daedalus (Winter 1958), 87, No. 1, 76.
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If a body releases the energy L in the form of radiation, its mass is decreased by L/V2.
[Now expressed as E= mc2 where E=energy, m=mass, c=velocity of light. This relationship of mass and energy initiated the atomic era.]
Annalen der Physik, 1905, 18, 639-641. Quoted in Alice Calaprice, The Quotable Einstein (1996), 165.
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If I’m concerned about what an electron does in an amorphous mass then I become an electron. I try to have that picture in my mind and to behave like an electron, looking at the problem in all its dimensions and scales.
Quoted in Timothy L. O’Brien, 'Not Invented here: Are U.S. Innovators Losing Their Competitive Edge?', New York Times (13 Nov 2005), B6.
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If the [Vestiges] be true, the labours of sober induction are in vain; religion is a lie; human law is a mass of folly, and a base injustice; morality is moonshine; our labours for the black people of Africa were works of madmen; and man and woman are only better beasts!
Letter to Charles Lyell (9 Apr 1845). In John Willis Clark and Thomas McKenny Hughes (eds.), The Life and Letters of the Reverend Adam Sedgwick (1890), Vol. 2, 84.
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If the earth’s population continues to double every 50 years (as it is now doing) then by 2550 A.D. it will have increased 3,000-fold. … by 2800 A.D., it would reach 630,000 billion! Our planet would have standing room only, for there would be only two-and-a-half square feet per person on the entire land surface, including Greenland and Antarctica. In fact, if the human species could be imagined as continuing to multiply further at the same rate, by 4200 A.D. the total mass of human tissue would be equal to the mass of the earth.
In The Intelligent Man's Guide to Science: The Biological Sciences (1960), 117. Also in Isaac Asimov’s Book of Science and Nature Quotations (1988), 237.
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If the universe is measurably curved today, cosmologists must accept the miraculous fact that this is so for the first time in the 1010-year history of the universe; if it had been measurably non-flat at much earlier times, it would be much more obviously curved today than it is. This line of reasoning suggests that the observable universe is essentially exactly flat: that it contains precisely the critical density of mass.
(1986). As quoted in Isaac Asimov's Book of Science and Nature Quotations.
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If the world has begun with a single quantum, the notions of space and would altogether fail to have any meaning at the beginning; they would only begin to have a sensible meaning when the original quantum had been divided into a sufficient number of quanta. If this suggestion is correct, the beginning of the world happened a little before the beginning of space and time. I think that such a beginning of the world is far enough from the present order of Nature to be not at all repugnant. It may be difficult to follow up the idea in detail as we are not yet able to count the quantum packets in every case. For example, it may be that an atomic nucleus must be counted as a unique quantum, the atomic number acting as a kind of quantum number. If the future development of quantum theory happens to turn in that direction, we could conceive the beginning of the universe in the form of a unique atom, the atomic weight of which is the total mass of the universe. This highly unstable atom would divide in smaller and smaller atoms by a kind of super-radioactive process.
In a seminal short letter (457 words), 'The Beginning of the World from the Point of View of Quantum Theory', Nature (9 May 1931), 127, 706.
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If we ascribe the ejection of the proton to a Compton recoil from a quantum of 52 x 106 electron volts, then the nitrogen recoil atom arising by a similar process should have an energy not greater than about 400,000 volts, should produce not more than about 10,000 ions, and have a range in the air at N.T.P. of about 1-3mm. Actually, some of the recoil atoms in nitrogen produce at least 30,000 ions. In collaboration with Dr. Feather, I have observed the recoil atoms in an expansion chamber, and their range, estimated visually, was sometimes as much as 3mm. at N.T.P.
These results, and others I have obtained in the course of the work, are very difficult to explain on the assumption that the radiation from beryllium is a quantum radiation, if energy and momentum are to be conserved in the collisions. The difficulties disappear, however, if it be assumed that the radiation consists of particles of mass 1 and charge 0, or neutrons. The capture of the a-particle by the Be9 nucleus may be supposed to result in the formation of a C12 nucleus and the emission of the neutron. From the energy relations of this process the velocity of the neutron emitted in the forward direction may well be about 3 x 109 cm. per sec. The collisions of this neutron with the atoms through which it passes give rise to the recoil atoms, and the observed energies of the recoil atoms are in fair agreement with this view. Moreover, I have observed that the protons ejected from hydrogen by the radiation emitted in the opposite direction to that of the exciting a-particle appear to have a much smaller range than those ejected by the forward radiation.
This again receives a simple explanation on the neutron hypothesis.
'Possible Existence of a Neutron', Letter to the Editor, Nature, 1932, 129, 312.
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If, then, the motion of every particle of matter in the universe were precisely reversed at any instant, the course of nature would be simply reversed for ever after. The bursting bubble of foam at the foot of a waterfall would reunite and descend into the water; the thermal motions would reconcentrate their energy, and throw the mass up the fall in drops re-forming into a close column of ascending water. Heat which had been generated by the friction of solids and dissipated by conduction, and radiation, and radiation with absorption, would come again to the place of contact, and throw the moving body back against the force to which it had previously yielded. Boulders would recover from the mud materials required to rebuild them into their previous jagged forms, and would become reunited to the mountain peak from which they had formerly broken away. And if also the materialistic hypothesis of life were true, living creatures would grow backwards, with conscious knowledge of the future but no memory of the past, and would become again unborn.
In 'The Kinetic Theory of the Dissipation of Energy', Nature (1874), 9, 442.
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In 1847 I gave an address at Newton, Mass., before a Teachers’ Institute conducted by Horace Mann. My subject was grasshoppers. I passed around a large jar of these insects, and made every teacher take one and hold it while I was speaking. If any one dropped the insect, I stopped till he picked it up. This was at that time a great innovation, and excited much laughter and derision. There can be no true progress in the teaching of natural science until such methods become general.
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In a nutshell, the universe is 4% visible, 23% undetectable and 73% unimaginable. Welcome to the cosmos, full of mass you can measure but not manhandle, driven by a force you can infer but not explain.
In 'Dark Side of Creation', The Guardian (12 Feb 2004).
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In all chemical investigations, it has justly been considered an important object to ascertain the relative weights of the simples which constitute a compound. But unfortunately the enquiry has terminated here; whereas from the relative weights in the mass, the relative weights of the ultimate particles or atoms of the bodies might have been inferred, from which their number and weight in various other compounds would appear, in order to assist and to guide future investigations, and to correct their results. Now it is one great object of this work, to shew the importance and advantage of ascertaining the relative weights of the ultimate particles, both of simple and compound bodies, the number of simple elementary particles which constitute one compound particle, and the number of less compound particles which enter into the formation of one more compound particle.
If there are two bodies, A and B, which are disposed to combine, the following is the order in which the combinations may take place, beginning with the most simple: namely,
1 atom of A + 1 atom of B = 1 atom of C, binary
1 atom of A + 2 atoms of B = 1 atom of D, ternary
2 atoms of A + 1 atom of B = 1 atom of E, ternary
1 atom of A + 3 atoms of B = 1 atom of F, quaternary
3 atoms of A and 1 atom of B = 1 atom of G, quaternary
A New System of Chemical Philosophy (1808), Vol. 1, 212-3.
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In general, art has preceded science. Men have executed great, and curious, and beautiful works before they had a scientific insight into the principles on which the success of their labours was founded. There were good artificers in brass and iron before the principles of the chemistry of metals were known; there was wine among men before there was a philosophy of vinous fermentation; there were mighty masses raised into the air, cyclopean walls and cromlechs, obelisks and pyramids—probably gigantic Doric pillars and entablatures—before there was a theory of the mechanical powers. … Art was the mother of Science.
Lecture (26 Nov 1851), to the London Society of Arts, 'The General Bearing of the Great Exhibition on the Progress of Art and Science', collected in Lectures on the Results of the Great Exhibition of 1851' (1852), 7-8.
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In man, then, let us take the amount that is extruded by the individual beats, and that cannot return into the heart because of the barrier set in its way by the valves, as half an ounce, or three drachms, or at least one drachm. In half an hour the heart makes over a thousand beats; indeed, in some individuals, and on occasion, two, three, or four thousand. If you multiply the drachms per beat by the number of beats you will see that in half an hour either a thousand times three drachms or times two drachms, or five hundred ounces, or other such proportionate quantity of blood has been passed through the heart into the arteries, that is, in all cases blood in greater amount than can be found in the whole of the body. Similarly in the sheep or the dog. Let us take it that one scruple passes in a single contraction of the heart; then in half an hour a thousand scruples, or three and a half pounds of blood, do so. In a body of this size, as I have found in the sheep, there is often not more than four pounds of blood.
In the above sort of way, by calculating the amount of blood transmitted [at each heart beat] and by making a count of the beats, let us convince ourselves that the whole amount of the blood mass goes through the heart from the veins to the arteries and similarly makes the pulmonary transit.
Even if this may take more than half an hour or an hour or a day for its accomplishment, it does nevertheless show that the beat of the heart is continuously driving through that organ more blood than the ingested food can supply, or all the veins together at any time contain.
De Motu Cordis (1628), The Circulation of the Blood and Other Writings, trans. Kenneth J. Franklin (1957), Chapter 9, 62-3.
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In my opinion instruction is very purposeless for such individuals who do no want merely to collect a mass of knowledge, but are mainly interested in exercising (training) their own powers. One doesn't need to grasp such a one by the hand and lead him to the goal, but only from time to time give him suggestions, in order that he may reach it himself in the shortest way.
Letter to Heinrich Schumacher (2 Oct 1808). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 416.
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In scientific investigations it is grievously wrong to pander to the public’s impatience for results, or to let them think that for discovery it is necessary only to set up a great manufactory and a system of mass production. If in treatment team work is effective, in research it is the individual who counts first and above all. No great thought has ever sprung from anything but a single mind, suddenly conceiving. Throughout the whole world there has been too violent a forcing of the growth of ideas; too feverish a rush to perform experiments and publish conclusions. A year of vacation for calm detachment with all the individual workers thinking it all over in a desert should be proclaimed.
In Viewless Winds: Being the Recollections and Digressions of an Australian Surgeon (1939), 286.
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In the beginning (if there was such a thing), God created Newton’s laws of motion together with the necessary masses and forces. This is all; everything beyond this follows from the development of appropriate mathematical methods by means of deduction.
Autobiographical Notes (1946), 19. In Albert Einstein, Alice Calaprice, Freeman Dyson , The Ultimate Quotable Einstein (2011), 397.
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In the beginning of the year 1800 the illustrious professor [Volta] conceived the idea of forming a long column by piling up, in succession, a disc of copper, a disc of zinc, and a disc of wet cloth, with scrupulous attention to not changing this order. What could be expected beforehand from such a combination? Well, I do not hesitate to say, this apparently inert mass, this bizarre assembly, this pile of so many couples of unequal metals separated by a little liquid is, in the singularity of effect, the most marvellous instrument which men have yet invented, the telescope and the steam engine not excepted.
In François Arago, 'Bloge for Volta' (1831), Oeuvres Completes de François Arago (1854), Vol. 1, 219-20.
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In the last fifteen years we have witnessed an event that, I believe, is unique in the history of the natural sciences: their subjugation to and incorporation into the whirls and frenzies of disgusting publicity and propaganda. This is no doubt symptomatic of the precarious position assigned by present-day society to any form of intellectual activity. Such intellectual pursuits have at all times been both absurd and fragile; but they become ever more ludicrous when, as is now true of science, they become mass professions and must, as homeless pretentious parasites, justify their right to exist in a period devoted to nothing but the rapid consumption of goods and amusements. These sciences were always a divertissement in the sense in which Pascal used the word; but what is their function in a society living under the motto lunam et circenses? Are they only a band of court jesters in search of courts which, if they ever existed, have long lost their desire to be amused?
Voices in the Labyrinth: Nature, Man, and Science (1979), 27.
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Indeed, nothing more beautifully simplifying has ever happened in the history of science than the whole series of discoveries culminating about 1914 which finally brought practically universal acceptance to the theory that the material world contains but two fundamental entities, namely, positive and negative electrons, exactly alike in charge, but differing widely in mass, the positive electron—now usually called a proton—being 1850 times heavier than the negative, now usually called simply the electron.
Time, Matter and Values (1932), 46. Cited in Karl Raimund Popper and William Warren Bartley (ed.), Quantum Theory and theSchism in Physics (1992), 37.
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It [analysis] lacks at this point such plan and unity that it is really amazing that it can be studied by so many people. The worst is that it has not at all been treated with rigor. There are only a few propositions in higher analysis that have been demonstrated with complete rigor. Everywhere one finds the unfortunate manner of reasoning from the particular to the general, and it is very unusual that with such a method one finds, in spite of everything, only a few of what many be called paradoxes. It is really very interesting to seek the reason.
In my opinion that arises from the fact that the functions with which analysis has until now been occupied can, for the most part, be expressed by means of powers. As soon as others appear, something that, it is true, does not often happen, this no longer works and from false conclusions there flow a mass of incorrect propositions.
From a letter to his professor Hansteen in Christiania, Oslo in Correspondence (1902), 23 . In Umberto Bottazzini and Warren Van Egmond, The Higher Calculus (1986), 87-88.
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It follows from the theory of relativity that mass and energy are both different manifestations of the same thing—a somewhat unfamiliar conception for the average man. Furthermore E=MC2, in which energy is put equal to mass multiplied with the square of the velocity of light, showed that a very small amount of mass may be converted into a very large amount of energy... the mass and energy were in fact equivalent.
As expressed in the Einstein film, produced by Nova Television (1979). Quoted in Alice Calaprice, The Quotable Einstein (1996), 183.
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It has always irked me as improper that there are still so many people for whom the sky is no more than a mass of random points of light. I do not see why we should recognize a house, a tree, or a flower here below and not, for example, the red Arcturus up there in the heavens as it hangs from its constellation Bootes, like a basket hanging from a balloon.
As quoted in J. L. Locher, Escher: With a Complete Catalogue of the Graphic Works (1982), 113.
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It is difficult to conceive a grander mass of vegetation:—the straight shafts of the timber-trees shooting aloft, some naked and clean, with grey, pale, or brown bark; others literally clothed for yards with a continuous garment of epiphytes, one mass of blossoms, especially the white Orchids Caelogynes, which bloom in a profuse manner, whitening their trunks like snow. More bulky trunks were masses of interlacing climbers, Araliaceae, Leguminosae, Vines, and Menispermeae, Hydrangea, and Peppers, enclosing a hollow, once filled by the now strangled supporting tree, which has long ago decayed away. From the sides and summit of these, supple branches hung forth, either leafy or naked; the latter resembling cables flung from one tree to another, swinging in the breeze, their rocking motion increased by the weight of great bunches of ferns or Orchids, which were perched aloft in the loops. Perpetual moisture nourishes this dripping forest: and pendulous mosses and lichens are met with in profusion.
Himalayan Journals (1854), vol. 1, 110-1.
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It is known that knowledge is power, and power is energy, and energy is matter, and matter is mass, and therefore large accumulations of knowledge distort time and space.
In Terry Pratchett, Ian Stewart and Jack Cohen, Chap. 25, 'Unnatural Selection', The Science of Discworld (1999), 180. Pratchett wrote the fantasy story told in the odd-numbered chapters (such as Chap. 25). Relevant real science is contributed by his co-authors, Stewart and Cohen, in the even-numbered chapters.
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It is popular to believe that the age of the individual and, above all, of the free individual, is past in science. There are many administrators of science and a large component of the general population who believe that mass attacks can do anything, and even that ideas are obsolete. Behind this drive to the mass attack there are a number of strong psychological motives. Neither the public or the big administrator has too good an understanding of the inner continuity of science, but they both have seen its world-shaking consequences, and they are afraid of it. Both of them wish to decerebrate the scientist, even as the Byzantine State emasculated its civil servants. Moreover, the great administrator who is not sure of his own intellectual level can aggrandize himself only by cutting his scientific employees down to size.
In I am a Mathematician (1956), Epilogue, 363-364.
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It will be! the mass is working clearer!
Conviction gathers, truer, nearer!
The mystery which for Man in Nature lies
We dare to test, by knowledge led;
And that which she was wont to organize
We crystallize, instead.
As spoken by character Wagner, in Johann Goethe and Bayard Taylr (trans.), Faust: A tragedy by Johann Wolfgang von Goethe, translated, in the original metres: The Second Part (1871), Act 2, Scene 2, Laboratory, 119.
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Jupiter is the largest of all the solar system’s planets, more than ten times bigger and three hundred times as massive as Earth. Jupiter is so immense it could swallow all the other planets easily. Its Great Red Spot, a storm that has raged for centuries, is itself wider than Earth. And the Spot is merely one feature visible among the innumerable vortexes and streams of Jupiter’s frenetically racing cloud tops. Yet Jupiter is composed mainly of the lightest elements, hydrogen and helium, more like a star than a planet. All that size and mass, yet Jupiter spins on its axis in less than ten hours, so fast that the planet is clearly not spherical: Its poles are noticeably flattened. Jupiter looks like a big, colorfully striped beach ball that’s squashed down as if some invisible child were sitting on it. Spinning that fast, Jupiter’s deep, deep atmosphere is swirled into bands and ribbons of multihued clouds: pale yellow, saffron orange, white, tawny yellow-brown, dark brown, bluish, pink and red. Titanic winds push the clouds across the face of Jupiter at hundreds of kilometers per hour.
Ben Bova
Jupiter
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Just as a tree constitutes a mass arranged in a definite manner, in which, in every single part, in the leaves as in the root, in the trunk as in the blossom, cells are discovered to be the ultimate elements, so is it also with the forms of animal life. Every animal presents itself as a sum of vital unities, every one of which manifests all the characteristics of life. The characteristics and unity of life cannot be limited to anyone particular spot in a highly developed organism (for example, to the brain of man), but are to be found only in the definite, constantly recurring structure, which every individual element displays. Hence it follows that the structural composition of a body of considerable size, a so-called individual, always represents a kind of social arrangement of parts, an arrangement of a social kind, in which a number of individual existences are mutually dependent, but in such a way, that every element has its own special action, and, even though it derive its stimulus to activity from other parts, yet alone effects the actual performance of its duties.
In Lecture I, 'Cells and the Cellular Theory' (1858), Rudolf Virchow and Frank Chance (trans.) ,Cellular Pathology (1860), 13-14.
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Kepler’s laws, although not rigidly true, are sufficiently near to the truth to have led to the discovery of the law of attraction of the bodies of the solar system. The deviation from complete accuracy is due to the facts, that the planets are not of inappreciable mass, that, in consequence, they disturb each other's orbits about the Sun, and, by their action on the Sun itself, cause the periodic time of each to be shorter than if the Sun were a fixed body, in the subduplicate ratio of the mass of the Sun to the sum of the masses of the Sun and Planet; these errors are appreciable although very small, since the mass of the largest of the planets, Jupiter, is less than 1/1000th of the Sun's mass.
In Isaac Newton and Percival Frost (ed.) Newton’s Principia: Sections I, II, III (1863), 216.
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Let me describe briefly how a black hole might be created. Imagine a star with a mass 10 times that of the sun. During most of its lifetime of about a billion years the star will generate heat at its center by converting hydrogen into helium. The energy released will create sufficient pressure to support the star against its own gravity, giving rise to an object with a radius about five times the radius of the sun. The escape velocity from the surface of such a star would be about 1,000 kilometers per second. That is to say, an object fired vertically upward from the surface of the star with a velocity of less than 1,000 kilometers per second would be dragged back by the gravitational field of the star and would return to the surface, whereas an object with a velocity greater than that would escape to infinity.
When the star had exhausted its nuclear fuel, there would be nothing to maintain the outward pressure, and the star would begin to collapse because of its own gravity. As the star shrank, the gravitational field at the surface would become stronger and the escape velocity would increase. By the time the radius had got down to 10 kilometers the escape velocity would have increased to 100,000 kilometers per second, the velocity of light. After that time any light emitted from the star would not be able to escape to infinity but would be dragged back by the gravitational field. According to the special theory of relativity nothing can travel faster than light, so that if light cannot escape, nothing else can either. The result would be a black hole: a region of space-time from which it is not possible to escape to infinity.
'The Quantum Mechanics of Black Holes', Scientific American, 1977, 236, 34-40.
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Like all things of the mind, science is a brittle thing: it becomes absurd when you look at it too closely. It is designed for few at a time, not as a mass profession. But now we have megascience: an immense apparatus discharging in a minute more bursts of knowledge than humanity is able to assimilate in a lifetime. Each of us has two eyes, two ears, and, I hope, one brain. We cannot even listen to two symphonies at the same time. How do we get out of the horrible cacophony that assails our minds day and night? We have to learn, as others did, that if science is a machine to make more science, a machine to grind out so-called facts of nature, not all facts are equally worth knowing. Students, in other words, will have to learn to forget most of what they have learned. This process of forgetting must begin after each exam, but never before. The Ph.D. is essentially a license to start unlearning.
Voices In the Labyrinth: Nature, Man, and Science (1979), 2.
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Man continues to be the only 150 pound nonlinear servomechanism that can be wholly mass-produced by unskilled labor.
In 'Mechanisms in Anxiety', Journal of Neuropsychiatry (Sep-Oct 1963), 5, 416. Also appears as “Man is the only…reproduced…” for the opening sentence by Ashley Montagu in 'Forward: Origin of the Specious' for Robin Fox, The Passionate Mind: Sources of Destruction and Creativity (2000), xxi.
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Man has two conditions of existence in the body. Hardly two creatures can be less alike than an infant and a man. The whole fetal state is a preparation for birth ... The human brain, in its earlier stage, resembles that of a fish: as it is developed, it resembles more the cerebral mass of a reptile; in its increase, it is like that of a bird, and slowly, and only after birth, does it assume the proper form and consistence of the human encephalon.
Attributed.
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Mathematics gives the young man a clear idea of demonstration and habituates him to form long trains of thought and reasoning methodically connected and sustained by the final certainty of the result; and it has the further advantage, from a purely moral point of view, of inspiring an absolute and fanatical respect for truth. In addition to all this, mathematics, and chiefly algebra and infinitesimal calculus, excite to a high degree the conception of the signs and symbols—necessary instruments to extend the power and reach of the human mind by summarizing an aggregate of relations in a condensed form and in a kind of mechanical way. These auxiliaries are of special value in mathematics because they are there adequate to their definitions, a characteristic which they do not possess to the same degree in the physical and mathematical [natural?] sciences.
There are, in fact, a mass of mental and moral faculties that can be put in full play only by instruction in mathematics; and they would be made still more available if the teaching was directed so as to leave free play to the personal work of the student.
In 'Science as an Instrument of Education', Popular Science Monthly (1897), 253.
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Moreover, within the hollows of the earth,
When from one quarter the wind builds up, lunges,
Muscles the deep caves with its headstrong power,
The earth leans hard where the force of wind has pressed it;
Then above ground, the higher the house is built,
The nearer it rises to the sky, the worse
Will it lean that way and jut out perilously,
The beams wrenched loose and hanging ready to fall.
And to think, men can't believe that for this world
Some time of death and ruin lies in wait,
Yet they see so great a mass of earth collapse!
And the winds pause for breath—that's lucky, for else
No force could rein things galloping to destruction.
But since they pause for breath, to rally their force,
Come building up and then fall driven back,
More often the earth will threaten ruin than
Perform it. The earth will lean and then sway back,
Its wavering mass restored to the right poise.
That explains why all houses reel, top floor
Most then the middle, and ground floor hardly at all.
On the Nature of Things, trans. Anthony M. Esolen (1995), Book 6, lines 558-77, 216.
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Mostly, I spend my time being a mother to my two children, working in my organic garden, raising masses of sweet peas, being passionately involved in conservation, recycling and solar energy.
…...
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Mr. Dalton's aspect and manner were repulsive. There was no gracefulness belonging to him. His voice was harsh and brawling; his gait stiff and awkward; his style of writing and conversation dry and almost crabbed. In person he was tall, bony, and slender. He never could learn to swim: on investigating this circumstance he found that his spec. grav. as a mass was greater than that of water; and he mentioned this in his lectures on natural philosophy in illustration of the capability of different persons for attaining the art of swimming. Independence and simplicity of manner and originality were his best qualities. Though in comparatively humble circumstances he maintained the dignity of the philosophical character. As the first distinct promulgator of the doctrine that the elements of bodies unite in definite proportions to form chemical compounds, he has acquired an undying fame.
Dr John Davy's (brother of Humphry Davy) impressions of Dalton written in c.1830-31 in Malta.
John Davy
Quoted in W. C. Henry, Memoirs of the Life and Scientific Researches of John Dalton (1854), 217-8.
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Mr. Hillaire Belloc has pointed out that science has changed greatly, and for the worse, since it became popular. Some hundred years ago, or more, only very unusual, highly original spirits were attracted to science at all; scientific work was therefore carried out by men of exceptional intelligence. Now, scientists are turned out by mass production in our universities.
In Science is a Sacred Cow (1950), 23-24.
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Neither the absolute nor the relative size of the brain can be used to measure the degree of mental ability in animal or in man. So far as man is concerned, the weights of the brains or the volumes of the cranial cavities of a hundred celebrities of all branches of knowledge all over the world have been listed. … At the bottom of those lists are Gall, the famous phrenologist, Anatole France, the French novelist, and Gambetta, the French statesman, each with about 1,100 cc brain mass. The lists are topped by Dean Jonathan Swift, the English writer, Lord Byron, the English poet, and Turgenev, the Russian novelist, all with about 2,000 cc … Now our mental test! Had Turgenev really twice the mental ability of Anatole France?
In 'The Human Brain in the Light of Its Phylogenetic Development', Scientific Monthly (Aug 1948), 67, No. 2, 104-105. Collected in Sherwood Larned Washburn and ‎Davida Wolffson (eds.), The Shorter Anthropological Papers of Franz Weidenreich Published in the Period 1939-1948: A Memorial Volume (1949), 18.
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Neutrinos ... win the minimalist contest: zero charge, zero radius, and very possibly zero mass.
In Leon Lederman and Dick Teresi, The God Particle: If the Universe is the Answer, What is the Question (1993, 2006), xiii.
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Neutrinos, they are very small
They have no charge and have no mass
And do not interact at all.
The earth is just a silly ball
To them, through which they simply pass,
Like dustmaids down a drafty hall
Or photons through a sheet of glass.
They snub the most exquisite gas,
Ignore the most substantial wall,
Cold-shoulder steel and sounding brass,
Insult the stallion in his stall,
And, scorning barriers of class,
Infiltrate you and me! Like tall
And painless guillotines, they fall
Down through our heads into the grass.
At night, they enter at Nepal
And pierce the lover and his lass
From underneath the bed—you call
It wonderful; I call it crass.
In poem 'Cosmic Gall', The New Yorker (17 Dec 1960). Collected in Telephone Poles and Other Poems (1964), 5. Note: In fact, about 1014 neutrinos from the Sun and 103 neutrinos in cosmic rays pass through our bodies each second. Neutrinos are now known to have a very small amount of mass, and they do interact (through the weak force).
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No one has yet been found so firm of mind and purpose as resolutely to compel himself to sweep away all theories and common notions, and to apply the understanding, thus made fair and even, to a fresh examination of particulars. Thus it happens that human knowledge, as we have it, is a mere medley and ill-digested mass, made up of much credulity and much accident, and also of the childish notions which we at first imbibed.
In Novum Organum (1620), Book 2, Aphorism 20.
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No one in his senses, or imbued with the slightest knowledge of physics, will ever think that the earth, heavy and unwieldy from its own weight and mass, staggers up and down around its own center and that of the sun; for at the slightest jar of the earth, we would see cities and fortresses, towns and mountains thrown down.
Universae Naturae Theatrum (1597). In Dorothy Stimson, The Gradual Acceptance of the Copernican Theory of the Universe (1917), 45.
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Now Einstein was a very clever man,
with us all his philosophies he shared,
He gave us the theory of relativity,
which is E equals M C squared.
From lyrics of song Sod’s Law.
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October 9, 1863
Always, however great the height of the balloon, when I have seen the horizon it has roughly appeared to be on the level of the car though of course the dip of the horizon is a very appreciable quantity or the same height as the eye. From this one might infer that, could the earth be seen without a cloud or anything to obscure it, and the boundary line of the plane approximately the same height as the eye, the general appearance would be that of a slight concavity; but I have never seen any part of the surface of the earth other than as a plane.
Towns and cities, when viewed from the balloon are like models in motion. I shall always remember the ascent of 9th October, 1863, when we passed over London about sunset. At the time when we were 7,000 feet high, and directly over London Bridge, the scene around was one that cannot probably be equalled in the world. We were still so low as not to have lost sight of the details of the spectacle which presented itself to our eyes; and with one glance the homes of 3,000,000 people could be seen, and so distinct was the view, that every large building was easily distinguishable. In fact, the whole of London was visible, and some parts most clearly. All round, the suburbs were also very distinct, with their lines of detached villas, imbedded as it were in a mass of shrubs; beyond, the country was like a garden, its fields, well marked, becoming smaller and smaller as the eye wandered farther and farther away.
Again looking down, there was the Thames, throughout its whole length, without the slightest mist, dotted over its winding course with innumerable ships and steamboats, like moving toys. Gravesend was visible, also the mouth of the Thames, and the coast around as far as Norfolk. The southern shore of the mouth of the Thames was not so clear, but the sea beyond was seen for many miles; when at a higher elevation, I looked for the coast of France, but was unable to see it. On looking round, the eye was arrested by the garden-like appearance of the county of Kent, till again London claimed yet more careful attention.
Smoke, thin and blue, was curling from it, and slowly moving away in beautiful curves, from all except one part, south of the Thames, where it was less blue and seemed more dense, till the cause became evident; it was mixed with mist rising from the ground, the southern limit of which was bounded by an even line, doubtless indicating the meeting of the subsoils of gravel and clay. The whole scene was surmounted by a canopy of blue, everywhere free from cloud, except near the horizon, where a band of cumulus and stratus extended all round, forming a fitting boundary to such a glorious view.
As seen from the earth, the sunset this evening was described as fine, the air being clear and the shadows well defined; but, as we rose to view it and its effects, the golden hues increased in intensity; their richness decreased as the distance from the sun increased, both right and left; but still as far as 90º from the sun, rose-coloured clouds extended. The remainder of the circle was completed, for the most part, by pure white cumulus of well-rounded and symmetrical forms.
I have seen London by night. I have crossed it during the day at the height of four miles. I have often admired the splendour of sky scenery, but never have I seen anything which surpassed this spectacle. The roar of the town heard at this elevation was a deep, rich, continuous sound the voice of labour. At four miles above London, all was hushed; no sound reached our ears.
Travels in the Air (1871), 99-100.
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On the appearance of anything new the mass of people ask: What is the use of it? And they are not wrong. For it is only through the use of anything that they can perceive its value.
In The Maxims and Reflections of Goethe (1906), 189.
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One would like to see mankind spend the balance of the century in a total effort to clean up and groom the surface of the globe – wipe out the jungles, turn deserts and swamps into arable land, terrace barren mountains, regulate rivers, eradicate all pests, control the weather, and make the whole land mass a fit habitation for Man. The globe should be our and not nature’s home, and we no longer nature’s guests.
In The Temper of Our Time (1967), 94.
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ORGANIC LIFE beneath the shoreless waves
Was born and nurs'd in Ocean's pearly caves;
First, forms minute, unseen by spheric glass,
Move on the mud, or pierce the watery mass;
These, as successive generations bloom,
New powers acquire, and larger limbs assume;
Whence countless groups of vegetation spring,
And breathing realms of fin, and feet, and wing.
Thus the tall Oak, the giant of the wood,
Which bears Britannia's thunders on the flood;
The Whale, unmeasured monster of the main,
The lordly Lion, monarch of the plain,
The Eagle soaring in the realms of air,
Whose eye undazzled drinks the solar glare,
Imperious man, who rules the bestial crowd,
Of language, reason, and reflection proud,
With brow erect, who scorns this earthy sod,
And styles himself the image of his God;
Arose from rudiments of form and sense,
An embryon point, or microscopic ens!
The Temple of Nature (1803), canto 1, lines 295-314, pages 26-8.
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Our world is not an optimal place, fine tuned by omnipotent forces of selection. It is a quirky mass of imperfections, working well enough (often admirably); a jury-rigged set of adaptations built of curious parts made available by past histories in different contexts ... A world optimally adapted to current environments is a world without history, and a world without history might have been created as we find it. History matters; it confounds perfection and proves that current life transformed its own past.
…...
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Principles. You can't say A is made of B or vice versa. All mass is interaction.
Noted in his pocket address book. As quoted in James Gleick, Genius: The Life and Science of Richard Feynman (1992), 283.
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Quite distinct from the theoretical question of the manner in which mathematics will rescue itself from the perils to which it is exposed by its own prolific nature is the practical problem of finding means of rendering available for the student the results which have been already accumulated, and making it possible for the learner to obtain some idea of the present state of the various departments of mathematics. … The great mass of mathematical literature will be always contained in Journals and Transactions, but there is no reason why it should not be rendered far more useful and accessible than at present by means of treatises or higher text-books. The whole science suffers from want of avenues of approach, and many beautiful branches of mathematics are regarded as difficult and technical merely because they are not easily accessible. … I feel very strongly that any introduction to a new subject written by a competent person confers a real benefit on the whole science. The number of excellent text-books of an elementary kind that are published in this country makes it all the more to be regretted that we have so few that are intended for the advanced student. As an example of the higher kind of text-book, the want of which is so badly felt in many subjects, I may mention the second part of Prof. Chrystal’s Algebra published last year, which in a small compass gives a great mass of valuable and fundamental knowledge that has hitherto been beyond the reach of an ordinary student, though in reality lying so close at hand. I may add that in any treatise or higher text-book it is always desirable that references to the original memoirs should be given, and, if possible, short historic notices also. I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history.
In Presidential Address British Association for the Advancement of Science, Section A (1890), Nature, 42, 466.
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Recognize that the very molecules that make up your body, the atoms that construct the molecules, are traceable to the crucibles that were once the centers of high mass stars that exploded their chemically rich guts into the galaxy, enriching pristine gas clouds with the chemistry of life. So that we are all connected to each other biologically, to the earth chemically and to the rest of the universe atomically. That’s kinda cool! That makes me smile and I actually feel quite large at the end of that. It’s not that we are better than the universe, we are part of the universe. We are in the universe and the universe is in us.
From a History Channel TV show, (?) The Universe.
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Returning now to the Malay Archipelago, we find that all the wide expanse of sea which divides Java, Sumatra, and Borneo from each other, and from Malacca and Siam, is so shallow that ships can anchor in any part of it, since it rarely exceeds forty fathoms in depth; and if we go as far as the line of a hundred fathoms, we shall include the Philippine Islands and Bali, east of Java. If, therefore, these islands have been separated from each other and the continent by subsidence of the intervening tracts of land, we should conclude that the separation has been comparatively recent, since the depth to which the land has subsided is so small. It is also to be remarked that the great chain of active volcanoes in Sumatra and Java furnishes us with a sufficient cause for such subsidence, since the enormous masses of matter they have thrown out would take away the foundations of the surrounding district; and this may be the true explanation of the often-noticed fact that volcanoes and volcanic chains are always near the sea. The subsidence they produce around them will, in time, make a sea, if one does not already exist.
Malay Archipelago
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Science only begins for man from the moment when his mind lays hold of matter—when he tries to subject the mass accumulated by experience to rational combinations.
In 'Introduction', Cosmos: Sketch of a Physical Description of the Universe (1849), Vol. 1, 64. Translation “under the superintendence of” Edward Sabine.
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See with what force yon river’s crystal stream
Resists the weight of many a massy beam.
To sink the wood the more we vainly toil,
The higher it rebounds, with swift recoil.
Yet that the beam would of itself ascend
No man will rashly venture to contend.
Thus too the flame has weight, though highly rare,
Nor mounts but when compelled by heavier air.
De Rerum Natura, second book, as quoted in translation in Thomas Young, A Course of Lectures on Natural Philosophy and the Mechanical Arts (1845), 12.
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She is a reflection of comfortable middle-class values that do not take seriously the continuing unemployment. What I particularly regret is that she does not take seriously the intellectual decline. Having given up the Empire and the mass production of industrial goods, Britain's future lay in its scientific and artistic pre-eminence. Mrs Thatcher will be long remembered for the damage she has done.
On Mrs Margaret H. Thatcher.
The Guardian, 15 Oct 1988.
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Should a scientist consider possible ramifications of his research and their effects on society,…? Answer: I think it is impossible for anybody, scientist or not, to foresee the ramifications. We might say that that is a definition of basic science. Vide Einstein’s discovery of 1905 of the equivalence of mass and energy and the development of atomic weaponry. … CONSIDER RAMIFICATIONS? IMPOSSIBLE.
In 'Homo Scientificus According to Beckett," collected in William Beranek, Jr. (ed.)Science, Scientists, and Society, (1972), 135. Excerpted in Ann E. Kammer, Science, Sex, and Society (1979), 277.
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So erst the Sage [Pythagoras] with scientific truth
In Grecian temples taught the attentive youth;
With ceaseless change how restless atoms pass
From life to life, a transmigrating mass;
How the same organs, which to-day compose
The poisonous henbane, or the fragrant rose,
May with to-morrow's sun new forms compile,
Frown in the Hero, in the Beauty smile.
Whence drew the enlighten'd Sage the moral plan,
That man should ever be the friend of man;
Should eye with tenderness all living forms,
His brother-emmets, and his sister-worms.
The Temple of Nature (1803), canto 4, lines 417-28, page 163.
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Society is a republic. When an individual endeavors to lift himself above his fellows, he is dragged down by the mass, either by means of ridicule or of calumny. No one shall be more virtuous or more intellectually gifted than others. Whoever, by the irresistible force of genius, rises above the common herd is certain to be ostracized by society, which will pursue him with such merciless derision and detraction that at last he will be compelled to retreat into the solitude of his thoughts.
In Heinrich Heine: His Wit, Wisdom, Poetry (1892), 26.
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Some recent work by E. Fermi and L. Szilard, which has been communicated to me in manuscript, leads me to expect that the element uranium may be turned into a new and important source of energy in the immediate future. Certain aspects of the situation seem to call for watchfulness and, if necessary, quick action on the part of the Administration. …
In the course of the last four months it has been made probable … that it may become possible to set up nuclear chain reactions in a large mass of uranium, by which vast amounts of power and large quantities of new radium-like elements would be generated. Now it appears almost certain that this could be achieved in the immediate future.
This new phenomenon would also lead to the construction of bombs, and it is conceivable—though much less certain—that extremely powerful bombs of a new type may thus be constructed. A single bomb of this type, carried by boat or exploded in a port, might well destroy the whole port altogether with some of the surrounding territory. However, such bombs might well prove to be too heavy for transportation by air.
Letter to President Franklin P. Roosevelt, (2 Aug 1939, delivered 11 Oct 1939). In Otto Nathan and Heinz Norden (Eds.) Einstein on Peace (1960, reprinted 1981), 294-95.
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That special substance according to whose mass and degree of development all the creatures of this world take rank in the scale of creation, is not bone, but brain.
The Foot-prints of the Creator: Or, The Asterolepis of Stromness (1850, 1859), 160.
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The ‘Doctrine of Uniformity’ in Geology, as held by many of the most eminent of British Geologists, assumes that the earth’s surface and upper crust have been nearly as they are at present in temperature, and other physical qualities, during millions of millions of years. But the heat which we know, by observation, to be now conducted out of the earth yearly is so great, that if this action has been going on with any approach to uniformity for 20,000 million years, the amount of heat lost out of the earth would have been about as much as would heat, by 100 Cent., a quantity of ordinary surface rock of 100 times the earth’s bulk. This would be more than enough to melt a mass of surface rock equal in bulk to the whole earth. No hypothesis as to chemical action, internal fluidity, effects of pressure at great depth, or possible character of substances in the interior of the earth, possessing the smallest vestige of probability, can justify the supposition that the earth’s upper crust has remained nearly as it is, while from the whole, or from any part, of the earth, so great a quantity of heat has been lost.
In 'The “Doctrine of Uniformity” in Geology Briefly Refuted' (1866), Popular Lectures and Addresses (1891), Vol. 2, 6-7.
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The astronomers said, ‘Give us matter and a little motion and we will construct the universe. It is not enough that we should have matter, we must also have a single impulse, one shove to launch the mass and generate the harmony of the centrifugal and centripetal forces.’ ... There is no end to the consequences of the act. That famous aboriginal push propagates itself through all the balls of the system, and through every atom of every ball.
From essay, 'Nature', collected in Ralph Waldo Emerson and J.E. Cabot (ed.), Emerson's Complete Works: Essays, Second Series (1884), Vol. 3, 176-177.
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The body of science is not, as it is sometimes thought, a huge coherent mass of facts, neatly arranged in sequence, each one attached to the next by a logical string. In truth, whenever we discover a new fact it involves the elimination of old ones. We are always, as it turns out, fundamentally in error.
In 'On Science and Certainty', Discover Magazine (Oct 1980)
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The brain is waking and with it the mind is returning. It is as if the Milky Way entered upon some cosmic dance. Swiftly the head-mass becomes an enchanted loom where millions of flashing shuttles weave a dissolving pattern, always a meaningful pattern though never an abiding one.
Man on His Nature (1940), 225.
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The conception of correspondence plays a great part in modern mathematics. It is the fundamental notion in the science of order as distinguished from the science of magnitude. If the older mathematics were mostly dominated by the needs of mensuration, modern mathematics are dominated by the conception of order and arrangement. It may be that this tendency of thought or direction of reasoning goes hand in hand with the modern discovery in physics, that the changes in nature depend not only or not so much on the quantity of mass and energy as on their distribution or arrangement.
In History of European Thought in the Nineteenth Century (1903), Vol. 2, 736.
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The discrepancy between what was expected and what has been observed has grown over the years, and we're straining harder and harder to fill the gap.
[Commenting on the 1984 article in Nature discrediting neutrinos as the explanation for the missing mass of the universe, leaving astrophysicists more baffled for a solution.]
In 'If Theory is Right, Most of Universe is Still “Missing”', New York Times (11 Sep 1984).
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The Earth has no business possessing such a Moon. It is too huge—over a quarter Earth’s diameter and about 1/81 of its mass. No other planet in the Solar System has even nearly so large a satellite.
In Asimov on Physics (1976), 46. Also in Isaac Asimov’s Book of Science and Nature Quotations (1988), 166.
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The explosive component in the contemporary scene is not the clamor of the masses but the self-righteous claims of a multitude of graduates from schools and universities. This army of scribes is clamoring for a society in which planning, regulation, and supervision are paramount and the prerogative of the educated. They hanker for the scribe’s golden age, for a return to something like the scribe-dominated societies of ancient Egypt, China, and Europe of the Middle Ages. There is little doubt that the present trend in the new and renovated countries toward social regimentation stems partly from the need to create adequate employment for a large number of scribes. And since the tempo of the production of the literate is continually increasing, the prospect is of ever-swelling bureaucracies.
In 'Scribe, Writer, and Rebel', The Ordeal of Change (1963), 109.
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The extinctions ongoing worldwide promise to be at least as great as the mass extinction that occurred at the end of the age of dinosaurs.
Quoted in Jamie Murphy and Andrea Dorfman, 'The Quiet Apocalypse,' Time (13 Oct 1986).
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The eyes of the world now look into space, to the moon and to the planets beyond, and we have vowed that we shall not see it governed by a hostile flag of conquest, but by a banner of freedom and peace. We have vowed that we shall not see space filled with weapons of mass destruction, but with instruments of knowledge and understanding.
Address at Rice University in Houston (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum. [This go-to-the-moon speech was largely written by presidential advisor and speechwriter Ted Sorensen.]
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The fact is that there are few more “popular” subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances may suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity.
In A Mathematician's Apology (1940, reprint with Foreward by C.P. Snow 1992), 86.
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The first quality we know in matter is centrality,—we call it gravity,—which holds the universe together, which remains pure and indestructible in each mote, as in masses and planets, and from each atom rays out illimitable influence. To this material essence answers Truth, in the intellectual world,—Truth, whose centre is everywhere, and its circumference nowhere, whose existence we cannot disimagine,—the soundness and health of things, against which no blow can be struck but it recoils on the striker,—Truth, on whose side we always heartily are. And the first measure of a mind is its centrality, its capacity of truth, and its adhesion to it.
In 'Progress of Culture', an address read to the Phi Beta Kappa Society at Cambridge, 18 July 1867. Collected in Works of Ralph Waldo Emerson (1883), 477.
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The great Sir Isaac Newton,
He once made a valid proclamation,
That the forces equal to a nominated mass,
when multiplied by acceleration
That was the law of motion.
From lyrics of song Sod’s Law.
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The greatest human evils are not those that individuals perform in private, the tiny transgressions against some arbitrary social standard we call sins. The ultimate evils are the mass murders that occur in revolution and war, the large-scale savageries that arise when one agglomeration of humans tries to dominate another: the deeds of the social group. … only group efforts can save us from the sporadic insanities of the group.
In 'The Clint Eastwood Conundrum', The Lucifer Principle: A Scientific Expedition Into the Forces of History (1997), 7.
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The impact of an army, like the total mechanical coefficients, is equal to the mass multiplied by the velocity.
From Diary (30 July 1800). As given in R.M. Johnston, The Corsican: A Diary of Napoleon’s Life in His Own Words (1910), 143. Variants in translation from the original French include: “The strength of an army, like power in mechanics, is estimated by multiplying the mass by the velocity.”
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The individual on his own is stable only so long as he is possessed of self-esteem. The maintenance of self-esteem is a continuous task which taxes all of the individual’s powers and inner resources. We have to prove our worth and justify our existence anew each day. When, for whatever reason, self-esteem is unattainable, the autonomous individual becomes a highly explosive entity. He turns away from an unpromising self and plunges into the pursuit of pride—the explosive substitute for self-esteem. All social disturbances and upheavals have their roots in crises of individual self-esteem, and the great endeavor in which the masses most readily unite is basically a search for pride.
In The Passionate State of Mind (1955), 18
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The mass gross absence of sound in space is more than just silence.
As quoted in Neil Armstrong, Michael Collins and Edwin E. Aldrin, First on the Moon: The Astronauts’ Own Story (1970), 99.
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The mass of a body is a measure of its energy content.
…...
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The mass of men lead lives of quiet desperation.
In 'Economy', in Walden: Or, Life in the Woods (1854, 1899), 10.
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The mass starts into a million suns;
Earths round each sun with quick explosions burst,
And second planets issue from the first.
[The first concept of a 'big bang' theory of the universe.]
The Botanic Garden (1789-1791, 1805), 12.
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The masses have never thirsted after truth. Whoever can supply them with illusions is easily their master; whoever attempts to destroy their illusions is always their victim.
From Psychologie des Foules (1895), 98. English text in The Crowd: A Study of the Popular Mind (1897), Book 2, Chap. 2, 105. The original French text is, “Les foules n’ont jamais eu soif de vérités. Devant les évidences qui leur déplaisent, elles se detournent, preferant déifier l’erreur, si l’erreur les séduit. Qui sait les illusionner est aisément leur maître; qui tente de les désillusionner est toujours leur victime.”
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The most wonderful mystery of life may well be the means by which it created so much diversity from so little physical matter. The biosphere, all organisms combined, makes up only about one part in ten billion of the earth’s mass. … Yet life has divided into millions of species, the fundamental units, each playing a unique role in relation to the whole.
In 'The Most Fundamental Unit', The Diversity of Life (1992), 35.
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The next object which I have observed is the essence or substance of the Milky Way. By the aid of a telescope anyone may behold this in a manner which so distinctly appeals to the senses that all the disputes which have tormented philosophers through so many ages are exploded at once by the irrefragable evidence of our eyes, and we are freed from wordy disputes upon this subject, for the Galaxy is nothing else but a mass of innumerable stars planted together in clusters.
In pamphlet, The Sidereal Messenger (1610), reprinted in The Sidereal Messenger of Galileo Galilei: And a Part of the Preface to the Preface to Kepler's Dioptrics Containing the Original Account of Galileo's Astronomical Discoveries (1880), 42.
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The observer is not he who merely sees the thing which is before his eyes, but he who sees what parts the thing is composed of. To do this well is a rare talent. One person, from inattention, or attending only in the wrong place, overlooks half of what he sees; another sets down much more than he sees, confounding it with what he imagines, or with what he infers; another takes note of the kind of all the circumstances, but being inexpert in estimating their degree, leaves the quantity of each vague and uncertain; another sees indeed the whole, but makes such an awkward division of it into parts, throwing into one mass things which require to be separated, and separating others which might more conveniently be considered as one, that the result is much the same, sometimes even worse than if no analysis had been attempted at all.
In A System of Logic Ratiocinative and Inductive (1858), 216.
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The oil industry is a stunning example of how science, technology, and mass production can divert an entire group of companies from their main task. ... No oil company gets as excited about the customers in its own backyard as about the oil in the Sahara Desert. ... But the truth is, it seems to me, that the industry begins with the needs of the customer for its products. From that primal position its definition moves steadily back stream to areas of progressively lesser importance until it finally comes to rest at the search for oil.
In 'Marketing Myopia' originally published in Harvard Business Review (). Reprinted in Harvard Business Review Classics: Marketing Myopia (2008), 66-71.
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The particles of a dew-drop and the masses of a planet are moulded and controlled by the same force.
From Address (Oct 1874) delivered at Guy’s Hospital, 'On The Study of Medicine', printed in British Medical journal (1874), 2, 425. Collected in Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), 109.
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The position of the anthropologist of to-day resembles in some sort the position of classical scholars at the revival of learning. To these men the rediscovery of ancient literature came like a revelation, disclosing to their wondering eyes a splendid vision of the antique world, such as the cloistered of the Middle Ages never dreamed of under the gloomy shadow of the minster and within the sound of its solemn bells. To us moderns a still wider vista is vouchsafed, a greater panorama is unrolled by the study which aims at bringing home to us the faith and the practice, the hopes and the ideals, not of two highly gifted races only, but of all mankind, and thus at enabling us to follow the long march, the slow and toilsome ascent, of humanity from savagery to civilization. And as the scholar of the Renaissance found not merely fresh food for thought but a new field of labour in the dusty and faded manuscripts of Greece and Rome, so in the mass of materials that is steadily pouring in from many sides—from buried cities of remotest antiquity as well as from the rudest savages of the desert and the jungle—we of to-day must recognise a new province of knowledge which will task the energies of generations of students to master.
'Author’s Introduction' (1900). In Dr Theodor H. Gaster (ed.), The New Golden Bough (1959), xxv-xxvi.
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The present state of the system of nature is evidently a consequence of what it was in the preceding moment, and if we conceive of an intelligence that at a given instant comprehends all the relations of the entities of this universe, it could state the respective position, motions, and general affects of all these entities at any time in the past or future. Physical astronomy, the branch of knowledge that does the greatest honor to the human mind, gives us an idea, albeit imperfect, of what such an intelligence would be. The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time. Man owes that advantage to the power of the instrument he employs, and to the small number of relations that it embraces in its calculations. But ignorance of the different causes involved in the production of events, as well as their complexity, taken together with the imperfection of analysis, prevents our reaching the same certainty about the vast majority of phenomena. Thus there are things that are uncertain for us, things more or less probable, and we seek to compensate for the impossibility of knowing them by determining their different degrees of likelihood. So it was that we owe to the weakness of the human mind one of the most delicate and ingenious of mathematical theories, the science of chance or probability.
'Recherches, 1º, sur l'Intégration des Équations Différentielles aux Différences Finies, et sur leur Usage dans la Théorie des Hasards' (1773, published 1776). In Oeuvres complètes de Laplace, 14 Vols. (1843-1912), Vol. 8, 144-5, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 26.
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The radius of space began at zero; the first stages of the expansion consisted of a rapid expansion determined by the mass of the initial atom, almost equal to the present mass of the universe. If this mass is sufficient, and the estimates which we can make indicate that this is indeed so, the initial expansion was able to permit the radius to exceed the value of the equilibrium radius. The expansion thus took place in three phases: a first period of rapid expansion in which the atom-universe was broken into atomic stars, a period of slowing-down, followed by a third period of accelerated expansion. It is doubtless in this third period that we find ourselves today, and the acceleration of space which followed the period of slow expansion could well be responsible for the separation of stars into extra-galactic nebulae.
From 'La formation des Nebuleuses dans l’Univers en Expansion', Comptes Rendus (1933), 196, 903-904. As translated in Helge Kragh, Cosmology and Controversy: The Historical Development of Two Theories of the Universe (1996), 52.
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The rate of extinction is now about 400 times that recorded through recent geological time and is accelerating rapidly. If we continue on this path, the reduction of diversity seems destined to approach that of the great natural catastrophes at the end of the Paleozoic and Mesozoic Eras, in other words, the most extreme for 65 million years. And in at least one respect, this human-made hecatomb is worse than any time in the geological past. In the earlier mass extinctions… most of the plant diversity survived even though animal diversity was severely reduced. Now, for the first time ever, plant diversity too is declining sharply.
In 'Edward O. Wilson: The Biological Diversity Crisis: A Challenge to Science', Issues in Science and Technology (Fall 1985), 2, No. 1, 25.
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The same algebraic sum of positive and negative charges in the nucleus, when the arithmetical sum is different, gives what I call “isotopes” or “isotopic elements,” because they occupy the same place in the periodic table. They are chemically identical, and save only as regards the relatively few physical properties which depend upon atomic mass directly, physically identical also. Unit changes of this nuclear charge, so reckoned algebraically, give the successive places in the periodic table. For any one “place” or any one nuclear charge, more than one number of electrons in the outer-ring system may exist, and in such a case the element exhibits variable valency. But such changes of number, or of valency, concern only the ring and its external environment. There is no in- and out-going of electrons between ring and nucleus.
Concluding paragraph of 'Intra-atomic Charge', Nature (1913), 92, 400. Collected in Alfred Romer, Radiochemistry and the Discovery of Isotopes (1970), 251-252.
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The sea itself offers a perennial source of power hitherto almost unapplied. The tides, twice in each day, raise a vast mass of water, which might be made available for driving machinery.
In 'Future Prospects', On the Economy of Machinery and Manufactures (1st ed., 1832), chap. 32, 279.
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The strength of all sciences is, as the strength of the old man’s faggot, in the band. For the harmony of a science, supporting each part the other, is and ought to be the true and brief confutation and suppression of all the smaller sort of objections; but, on the other side, if you take out every axiom, as the sticks of the faggot, one by one, you may quarrel with them and bend them and break them at your pleasure: so that, as was said of Seneca, Verborum minutiis rerum frangit pondera [that he broke up the weight and mass of the matter by verbal points and niceties], so a man may truly say of the schoolmen, Quaestionum minutiis scientiarum frangunt soliditatem [they broke up the solidarity and coherency of the sciences by the minuteness and nicety of their questions]. For were it not better for a man in fair room to set up one great light, or branching candlestick of lights, than to go about with a small watch-candle into every corner?
The Works of Francis Bacon (1864), Vol. 6, 123
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The sun is a mass of incandescent gas, a gigantic nuclear furnace,
Where hydrogen is built into helium at a temperature of millions of degrees.
Yo ho, it’s hot, the sun is not a place where we could live.
But here on earth there’d be no life without the light it gives.
We need its light, we need its heat, we need its energy.
Without the sun, without a doubt, there’d be no you and me.
Hy Zaret
From song 'Why Does the Sun Shine? (The Sun Is A Mass Of Incandescent Gas)' on LP record album Space Songs (1961), in the series Ballads for the Age of Science. Music by Louis Singer, and sung by Tom Glazer. Also recorded by the group They Might Be Giants (1998) who followed up with 'Why Does The Sun Really Shine? (The Sun is a Miasma of Incandescent Plasma)' on CD album Here Comes Science (2009), which corrects several scientific inaccuracies in the lyrics
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The Sun is no lonelier than its neighbors; indeed, it is a very common-place star,—dwarfish, though not minute,—like hundreds, nay thousands, of others. By accident the brighter component of Alpha Centauri (which is double) is almost the Sun's twin in brightness, mass, and size. Could this Earth be transported to its vicinity by some supernatural power, and set revolving about it, at a little less than a hundred million miles' distance, the star would heat and light the world just as the Sun does, and life and civilization might go on with no radical change. The Milky Way would girdle the heavens as before; some of our familiar constellations, such as Orion, would be little changed, though others would be greatly altered by the shifting of the nearer stars. An unfamiliar brilliant star, between Cassiopeia and Perseus would be—the Sun. Looking back at it with our telescopes, we could photograph its spectrum, observe its motion among the stars, and convince ourselves that it was the same old Sun; but what had happened to the rest of our planetary system we would not know.
The Solar System and its Origin (1935), 2-3.
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The sun-awakened avalanche! whose mass,
Thrice sifted by the storm, had gathered there
Flake after flake, in heaven-defying minds
As thought by thought is piled, till some great truth
Is loosened, and the nations echo round,
Shaken to their roots, as do the mountains now.
From Prometheus Unbound: A Lyrical Drama in Four Acts (1820), Act 2, Scene 3, 78.
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The whole Terrestrial Globe was taken all to Pieces and dissolved at the Deluge, the Particles of Stone, Marble, and all other solid Fossils being dissevered, taken up into the Water, and there sustained with Sea-Shells and other Animal and Vegetable Bodyes: and that the present Earth consists, and was formed out of that promiscuous Mass of Sand, Earth, Shells, and the rest, falling down again, and subsiding from the Water.
In An Essay Towards a Natural History of the Earth (3rd ed., 1723), Preface.
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The wintry clouds drop spangles on the mountains. If the thing occurred once in a century historians would chronicle and poets would sing of the event; but Nature, prodigal of beauty, rains down her hexagonal ice-stars year by year, forming layers yards in thickness. The summer sun thaws and partially consolidates the mass. Each winter's fall is covered by that of the ensuing one, and thus the snow layer of each year has to sustain an annually augmented weight. It is more and more compacted by the pressure, and ends by being converted into the ice of a true glacier, which stretches its frozen tongue far down beyond the limits of perpetual snow. The glaciers move, and through valleys they move like rivers.
The Glaciers of the Alps & Mountaineering in 1861 (1911), 247.
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There are various causes for the generation of force: a tensed spring, an air current, a falling mass of water, fire burning under a boiler, a metal that dissolves in an acid—one and the same effect can be produced by means of all these various causes. But in the animal body we recognise only one cause as the ultimate cause of all generation of force, and that is the reciprocal interaction exerted on one another by the constituents of the food and the oxygen of the air. The only known and ultimate cause of the vital activity in the animal as well as in the plant is a chemical process.
'Der Lebensprocess im Thiere und die Atmosphare', Annalen der Chemie und Pharmacie (1841), 41, 215-7. Trans. Kenneth L. Caneva, Robert Mo.yer and the Conservation of Energy (1993), 78.
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There is a strange disparity between the sciences of inert matter and those of life. Astronomy, mechanics, and physics are based on concepts which can be expressed, tersely and elegantly, in mathematical language. They have built up a universe as harmonious as the monuments of ancient Greece. They weave about it a magnificent texture of calculations and hypotheses. They search for reality beyond the realm of common thought up to unutterable abstractions consisting only of equations of symbols. Such is not the position of biological sciences. Those who investigate the phenomena of life are as if lost in an inextricable jungle, in the midst of a magic forest, whose countless trees unceasingly change their place and their shape. They are crushed under a mass of facts, which they can describe but are incapable of defining in algebraic equations.
Man the Unknown (1935), 1.
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There is already overwhelming evidence that the visible matter within galaxies may account for less than 10 percent of the galaxies’ actual mass: the rest, not yet directly detectable by observers on the earth, is probably distributed within and around each galaxy.
(1986). As quoted in Isaac Asimov's Book of Science and Nature Quotations.
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There is an influence which is getting strong and stronger day by day, which shows itself more and more in all departments of human activity, and influence most fruitful and beneficial—the influence of the artist. It was a happy day for the mass of humanity when the artist felt the desire of becoming a physician, an electrician, an engineer or mechanician or—whatnot—a mathematician or a financier; for it was he who wrought all these wonders and grandeur we are witnessing. It was he who abolished that small, pedantic, narrow-grooved school teaching which made of an aspiring student a galley-slave, and he who allowed freedom in the choice of subject of study according to one's pleasure and inclination, and so facilitated development.
'Roentgen Rays or Streams', Electrical Review (12 Aug 1896). Reprinted in The Nikola Tesla Treasury (2007), 307. By Nikola Tesla
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There is no question in my mind that we live in one of the truly bestial centuries in human history. There are plenty of signposts for the future historian, and what do they say? They say ‘Auschwitz’ and ‘Dresden’ and ‘Hiroshima’ and ‘Vietnam’ and ‘Napalm.’ For many years we all woke up to the daily body count on the radio. And if there were a way to kill people with the B Minor Mass, the Pentagon—Madison Avenue axis would have found it.
In Voices in the Labyrinth: Nature, Man, and Science (1979), 2.
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There is nothing more odious than the majority; it consists of a few powerful men to lead the way; of accommodating rascals and submissive weaklings; and of a mass of men who trot after them, without in the least knowing their own mind.
In The Maxims and Reflections of Goethe (1906), 197.
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There must be some bond of union between mass and the chemical elements; and as the mass of a substance is ultimately expressed (although not absolutely, but only relatively) in the atom, a functional dependence should exist and be discoverable between the individual properties of the elements and their atomic weights. But nothing, from mushrooms to a scientific dependence can be discovered without looking and trying. So I began to look about and write down the elements with their atomic weights and typical properties, analogous elements and like atomic weights on separate cards, and soon this convinced me that the properties of the elements are in periodic dependence upon their atomic weights; and although I had my doubts about some obscure points, yet I have never doubted the universality of this law, because it could not possibly be the result of chance.
Principles of Chemistry (1905), Vol. 2, 18.
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This is the most beautiful and satisfactory explanation of creation to which I have ever listened,?
[Having attended Lemaitre’s seminar at Caltech on the ‘cosmic egg’, the mass of all the Universe at its origination. (Dec 1932).]
In David Michael Harland, The Big Bang (), 136.
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This leads us to ask for the reasons which call for this new theory of transmutation. The beginning of things must needs lie in obscurity, beyond the bounds of proof, though within those of conjecture or of analogical inference. Why not hold fast to the customary view, that all species were directly, instead of indirectly, created after their respective kinds, as we now behold them,--and that in a manner which, passing our comprehension, we intuitively refer to the supernatural? Why this continual striving after “the unattained and dim,”—these anxious endeavors, especially of late years, by naturalists and philosophers of various schools and different tendencies, to penetrate what one of them calls “the mystery of mysteries,” the origin of species? To this, in general, sufficient answer may be found in the activity of the human intellect, “the delirious yet divine desire to know,” stimulated as it has been by its own success in unveiling the laws and processes of inorganic Nature,—in the fact that the principal triumphs of our age in physical science have consisted in tracing connections where none were known before, in reducing heterogeneous phenomena to a common cause or origin, in a manner quite analogous to that of the reduction of supposed independently originated species to a common ultimate origin,—thus, and in various other ways, largely and legitimately extending the domain of secondary causes. Surely the scientific mind of an age which contemplates the solar system as evolved from a common, revolving, fluid mass,— which, through experimental research, has come to regard light, heat, electricity, magnetism, chemical affinity, and mechanical power as varieties or derivative and convertible forms of one force, instead of independent species,—which has brought the so-called elementary kinds of matter, such as the metals, into kindred groups, and raised the question, whether the members of each group may not be mere varieties of one species,—and which speculates steadily in the direction of the ultimate unity of matter, of a sort of prototype or simple element which may be to the ordinary species of matter what the protozoa or component cells of an organism are to the higher sorts of animals and plants,—the mind of such an age cannot be expected to let the old belief about species pass unquestioned.
Asa Gray
'Darwin on the Origin of Species', The Atlantic Monthly (Jul 1860), 112-3. Also in 'Natural Selection Not Inconsistent With Natural Theology', Darwiniana: Essays and Reviews Pertaining to Darwinism (1876), 94-95.
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This statistical regularity in moral affairs fully establishes their being under the presidency of law. Man is seen to be an enigma only as an individual: in the mass he is a mathematical problem.
Vestiges of the Natural History of Creation (1844), 331.
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Time ends. That is the lesson of the “big bang”. It is also the lesson of the black hole, closer at hand and more immediate object of study. The black hole is a completely collapsed object. It is mass without matter. The Cheshire cat in Alice in Wonderland faded away leaving behind only its grin. A star that falls into an already existing black hole, or that collapses to make a new black hole, fades away. Of the star, of its matter and of its sunspots and solar prominences, all trace disappears. There remains behind only gravitational attraction, the attraction of disembodied mass.
In 'The Lesson of the Black Hole', Proceedings of the American Philosophical Society (1981), 125, 25.
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To pick a hole–say in the 2nd law of Ωcs, that if two things are in contact the hotter cannot take heat from the colder without external agency.
Now let A & B be two vessels divided by a diaphragm and let them contain elastic molecules in a state of agitation which strike each other and the sides. Let the number of particles be equal in A & B but let those in A have equal velocities, if oblique collisions occur between them their velocities will become unequal & I have shown that there will be velocities of all magnitudes in A and the same in B only the sum of the squares of the velocities is greater in A than in B.
When a molecule is reflected from the fixed diaphragm CD no work is lost or gained.
If the molecule instead of being reflected were allowed to go through a hole in CD no work would be lost or gained, only its energy would be transferred from the one vessel to the other.
Now conceive a finite being who knows the paths and velocities of all the molecules by simple inspection but who can do no work, except to open and close a hole in the diaphragm, by means of a slide without mass.
Let him first observe the molecules in A and when lie sees one coming the square of whose velocity is less than the mean sq. vel. of the molecules in B let him open a hole & let it go into B. Next let him watch for a molecule in B the square of whose velocity is greater than the mean sq. vel. in A and when it comes to the hole let him draw and slide & let it go into A, keeping the slide shut for all other molecules.
Then the number of molecules in A & B are the same as at first but the energy in A is increased and that in B diminished that is the hot system has got hotter and the cold colder & yet no work has been done, only the intelligence of a very observant and neat fingered being has been employed. Or in short if heat is the motion of finite portions of matter and if we can apply tools to such portions of matter so as to deal with them separately then we can take advantage of the different motion of different portions to restore a uniformly hot system to unequal temperatures or to motions of large masses. Only we can't, not being clever enough.
Letter to Peter Guthrie Tait (11 Dec 1867). In P. M. Harman (ed.), The Scientific Letters and Papers of James Clerk Maxwell (1995), Vol. 2, 331-2.
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Unless a man has talents to make something of himself, freedom is an irksome burden. Of what avail is freedom to choose if the self be ineffectual? We join a mass movement to escape individual responsibility, or, in the words of the ardent young Nazi, “to be free from freedom.”
In The True Believer: Thoughts on the Nature of Mass Movements (1951), 30.
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We have very strong physical and chemical evidence for a large impact; this is the most firmly established part of the whole story. There is an unquestionable mass extinction at this time, and in the fossil groups for which we have the best record, the extinction coincides with the impact to a precision of a centimeter or better in the stratigraphic record. This exact coincidence in timing strongly argues for a causal relationship.
Referring to the theory that he, and his father (physicist Luis W. Alvarez), held that dinosaurs abruptly went extinct as a result of a 6-mile-wide asteroid or comet struck the earth. In American Geophysical Union, EOS (2 Sep 1986), as quoted and cited in John Noble Wilford, 'New Data Extend Era of Dinosaurs' New York Times (9 Nov 1986), A41.
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We need go back only a few centuries to find the great mass of people depending on religion for the satisfaction of practically all their wishes. From rain out of the sky to good health on earth, they sought their desires at the altars of their gods. Whether they wanted large families, good crops, freedom from pestilence, or peace of mind, they conceived themselves as dependent on the favor of heaven. Then science came with its alternative, competitive method of getting what we want. That is science’s most important attribute. As an intellectual influence it is powerful enough, but as a practical way of achieving man’s desires it is overwhelming.
In 'The Real Point of Conflict between Science and Religion', collected in Living Under Tension: Sermons On Christianity Today (1941), 140-141.
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What binds us to space-time is our rest mass, which prevents us from flying at the speed of light, when time stops and space loses meaning. In a world of light there are neither points nor moments of time; beings woven from light would live “nowhere” and “nowhen”; only poetry and mathematics are capable of speaking meaningfully about such things.
In 'Mathematics and Physics', collected in Mathematics as Metaphor: Selected Essays of Yuri I. Manin (2007), 130.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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