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Who said: “I have no satisfaction in formulas unless I feel their arithmetical magnitude.”
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Join Quotes (32 quotes)

…continental blocks can join and rift at random.… The fact that two provinces of the Canadian Shield have been together during post-Cambrian time does not necessarily mean that they were formed close together or that the sediments lying in one province were derived from the province now beside it.
In 'The Effect of New Orogenetic Theories Upon Ideas of the Tectonics of the Canadian Shield', collected in Royal Society of Canada, Special Publication No. 4, The Tectonics of the Canadian Shield (1962), 135-138. As quoted and cited in Biographical Memoirs of Fellows of the Royal Society (Nov 1995), 41, 544. This quote’s relevance is to show that after some years of reluctance, Wilson did eventually accept the idea of continental drift.
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[De Morgan relates that some person had made up 800 anagrams on his name, of which he had seen about 650. Commenting on these he says:]
Two of these I have joined in the title-page:
[Ut agendo surgamus arguendo gustamus.]
A few of the others are personal remarks.
Great gun! do us a sum!
is a sneer at my pursuit; but,
Go! great sum! [integral of a to the power u to the power n with respect to u] is more dignified. …
Adsum, nugator, suge!
is addressed to a student who continues talking after the lecture has commenced: …
Graduatus sum! nego
applies to one who declined to subscribe for an M.A. degree.
In Budget of Paradoxes (1872), 82. [The Latin phrases translate as, respectively, “Such action will start arguing with taste”, “Here babbler suck!” and “I graduate! I reject.” —Webmaster]
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Dilbert: You joined the “Flat Earth Society?”
Dogbert: I believe the earth must be flat. There is no good evidence to support the so-called “round earth theory.”
Dilbert: I think Christopher Columbus would disagree.
Dogbert: How convenient that your best witness is dead.
Dilbert comic strip (9 Oct 1989).
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A man cannot well stand by himself, and so he is glad to join a party; because if he does not find rest there, he at any rate finds quiet and safety.
In The Maxims and Reflections of Goethe (1906), 183.
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Although as a boy I had dreamed about going into space, I had completely forgotten about that until one day I received a call from an astronaut, who suggested that I should join the program.
…...
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As long as Algebra and Geometry have been separated, their progress has been slow and their usages limited; but when these two sciences were reunited, they lent each other mutual strength and walked together with a rapid step towards perfection.
From the original French, “Tant que l’Algèbre et la Géométrie ont été séparées, leur progrès ont été lents et leurs usages bornés; mais lorsque ces deux sciences se sont réunies, elles se sont prêté des forces mutuelles et ont marché ensemble d’un pas rapide vers la perfection,” in Leçons Élémentaires sur la Mathematiques, Leçon 5, as collected in J.A. Serret (ed.), Œuvres de Lagrange (1877), Tome 7, Leçon 15, 271. English translation above by Google translate, tweeked by Webmaster. Also seen translated as, “As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company, they drew from each other fresh vitality and thenceforward marched on at a rapid pace toward perfection,” in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 81.
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Be a nuisance where it counts. … Do your part to inform and stimulate the public to join your action. Be depressed, discouraged, and disappointed at failure and the disheartening effects of ignorance, greed, corruption, and bad politics — but never give up.
As quoted in Post Editors, 'Marjory Stoneman Douglas and The Saturday Evening Post', Saturday Evening Post (26 Feb 2018). Cited as “From a 1980 article she wrote”, in 'A Life of Advocacy and Activism', a floridastateparks.org webpage.
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Biological evolution is a system of constant divergence without subsequent joining of branches. Lineages, once distinct, are separate forever. In human history, transmission across lineages is, perhaps, the major source of cultural change. Europeans learned about corn and potatoes from Native Americans and gave them smallpox in return.
…...
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Every man is ready to join in the approval or condemnation of a philosopher or a statesman, a poet or an orator, an artist or an architect. But who can judge of a mathematician? Who will write a review of Hamilton’s Quaternions, and show us wherein it is superior to Newton’s Fluxions?
In 'Imagination in Mathematics', North American Review, 85, 224.
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Everybody is to some small extent a philosopher of mathematics. Let him only exclaim on occasion: “But figures can’t lie!” and he joins the ranks of Plato and of Lakatos.
Co-author with Reuben Hersh, in The Mathematical Experience (1981), xi.
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For me, the first challenge for computing science is to discover how to maintain order in a finite, but very large, discrete universe that is intricately intertwined. And a second, but not less important challenge is how to mould what you have achieved in solving the first problem, into a teachable discipline: it does not suffice to hone your own intellect (that will join you in your grave), you must teach others how to hone theirs. The more you concentrate on these two challenges, the clearer you will see that they are only two sides of the same coin: teaching yourself is discovering what is teachable.
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For, however much we may clench our teeth in anger, we cannot but confess, in opposition to Galen’s teaching but in conformity with the might of Aristotle’s opinion, that the size of the orifice of the hollow vein at the right chamber of the heart is greater than that of the body of the hollow vein, no matter where you measure the latter. Then the following chapter will show the falsity of Galen’s view that the hollow vein is largest at the point where it joins the hump of the liver.
From De Humani Corporis Fabrica Libri Septem (1543), Book III, 275, as translated by William Frank Richardson and John Burd Carman, in 'The Arguments Advanced by Galen in Opposition to Aristotl’s Views about the Origin of the Hollow Vein Do Not Have Oracular Authority', On The Fabric of the Human Body: Book III: The Veins And Arteries; Book IV: The Nerves (1998), 45.
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I chatter over stony ways,
In little sharps and trebles,
I bubble into eddying bays,
I babble on the pebbles.…
And out again I curve and flow
To join the brimming river;
For men may come and men may go,
But I go on forever.
From 'Song of the Brook' (1842), collected in The Poetical Works of Alfred Tennyson (1873), 142.
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I hear one day the word “mountain,” and I ask someone “what is a mountain? I have never seen one.”
I join others in discussions of mountains.
One day I see in a book a picture of a mountain.
And I decide I must climb one.
I travel to a place where there is a mountain.
At the base of the mountain I see there are lots of paths to climb.
I start on a path that leads to the top of the mountain.
I see that the higher I climb, the more the paths join together.
After much climbing the many paths join into one.
I climb till I am almost exhausted but I force myself and continue to climb.
Finally I reach the top and far above me there are stars.
I look far down and the village twinkles far below.
It would be easy to go back down there but it is so beautiful up here.
I am just below the stars.
…...
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I used to get so depressed about the environment. … But I feel much better since I joined my Environmental Grief Counseling Group, which is a wonderful New Age approach to gaining the personal serenity you need in a world of melting ice caps, shrinking rain forests, and toxic lakes.
In 'Stop Beaching, Think Positive', Mother Jones Magazine (Oct 1988), 14, No. 8, 8.
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Let us now declare the means whereby our understanding can rise to knowledge without fear of error. There are two such means: intuition and deduction. By intuition I mean not the varying testimony of the senses, nor the deductive judgment of imagination naturally extravagant, but the conception of an attentive mind so distinct and so clear that no doubt remains to it with regard to that which it comprehends; or, what amounts to the same thing, the self-evidencing conception of a sound and attentive mind, a conception which springs from the light of reason alone, and is more certain, because more simple, than deduction itself. …
It may perhaps be asked why to intuition we add this other mode of knowing, by deduction, that is to say, the process which, from something of which we have certain knowledge, draws consequences which necessarily follow therefrom. But we are obliged to admit this second step; for there are a great many things which, without being evident of themselves, nevertheless bear the marks of certainty if only they are deduced from true and incontestable principles by a continuous and uninterrupted movement of thought, with distinct intuition of each thing; just as we know that the last link of a long chain holds to the first, although we can not take in with one glance of the eye the intermediate links, provided that, after having run over them in succession, we can recall them all, each as being joined to its fellows, from the first up to the last. Thus we distinguish intuition from deduction, inasmuch as in the latter case there is conceived a certain progress or succession, while it is not so in the former; … whence it follows that primary propositions, derived immediately from principles, may be said to be known, according to the way we view them, now by intuition, now by deduction; although the principles themselves can be known only by intuition, the remote consequences only by deduction.
In Rules for the Direction of the Mind, Philosophy of Descartes. [Torrey] (1892), 64-65.
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Look Nature thro’, ’tis neat Gradation all.
By what minute Degrees her Scale ascends!
Each middle Nature join’d at each Extreme,
To that above it join’d, to that beneath.
The Complaint: or, Night-Thoughts on Life, Death, and Immortality (1742, 1750), Night 6, 140.
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Oh, I have slipped the surly bonds of earth
and danced the skies on laughter-silvered wings;
Sunward I’ve climbed, and joined the tumbling mirth
of sun-split clouds and done a hundred things
you have not dreamed of wheeled and soared and swung
high in the sunlit silence. Hovering there,
I’ve chased the shouting wind along, and flung
my eager craft through footless halls of air.
Up, up the long, delirious, burning blue
I’ve topped the windswept heights with easy grace
where never lark, or even eagle flew
and, while with silent, lifting mind I’ve trod
the high untrespassed sanctity of space,
put out my hand, and touched the face of God.
…...
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Our abiding belief is that just as the workmen in the tunnel of St. Gothard, working from either end, met at last to shake hands in the very central root of the mountain, so students of nature and students of Christianity will yet join hands in the unity of reason and faith, in the heart of their deepest mysteries.
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The Animal and Vegetable Kingdoms are to nearly join’d, that if you will take the lowest of one, and the highest of the other, there will scarce be perceived any great difference between them.
In An Essay Concerning Humane Understanding (1689, 1706, 5th ed.), 381.
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The book [Future of an Illusion] testifies to the fact that the genius of experimental science is not necessarily joined with the genius of logic or generalizing power.
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The notion that individualism came first runs against the very grain of cosmic history. … grouping has been inherent in evolution since the first quarks joined to form neutrons and protons. Similarly, replicators—RNA, DNA, and genes—have always worked in teams… The bacteria of 3.5 billion years ago were creatures of the crowd. So were the trilobites and echinoderms of the Cambrian age.
In 'The Embryonic Meme', Global Brain: The Evolution of Mass Mind from the Big Bang to the 21st Century (2000), 34.
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The novel feature of the structure is the manner in which the two chains are held together by the purine and pyrimidine bases. The planes of the bases are perpendicular to the fibre axis. They are joined together in pairs, a single base from one chain being hydrogen-bonded to a single base from the other chain, so that the two lie side by side with identical z-co-ordinates. One of the pair must be 11 purine and the other a pyrimidine for bonding to occur. The hydrogen bonds are made as follows: purine position I to pyrimidine position I; purine position 6 to pyrimidine position 6.
[Co-author with Francis Crick]
In 'Molecular Structure of Nucleic Acids', Nature (1953), 171, 737.
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The solution, as all thoughtful people recognize, must lie in properly melding the themes of inborn predisposition and shaping through life’s experiences. This fruitful joining cannot take the false form of percentages adding to 100–as in ‘intelligence is 80 percent nature and 20 percent nurture,’ or ‘homosexuality is 50 percent inborn and 50 percent learned,’ and a hundred other harmful statements in this foolish format. When two ends of such a spectrum are commingled, the result is not a separable amalgam (like shuffling two decks of cards with different backs), but an entirely new and higher entity that cannot be decomposed (just as adults cannot be separated into maternal and paternal contributions to their totality).
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The underlying concepts that unlock nature must be shown to arise early and in the simplest cultures of man from his basic and specific faculties. And the development of science which joins them in more and more complex conjunctions must be seen to be equally human: discoveries are made by men, not merely by minds, so that they are alive and charged with individuality.
In 'Foreward', The Ascent of Man, (1973), 13-14.
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There is no such thing as absolute truth and absolute falsehood. The scientific mind should never recognise the perfect truth or the perfect falsehood of any supposed theory or observation. It should carefully weigh the chances of truth and error and grade each in its proper position along the line joining absolute truth and absolute error.
In 'The Highest Aim of the Physicist: Presidential Address Delivered at the 2nd Meeting of the Society, October 28th, 1899', Bulletin of the American Physical Society (1899), 1, 13.
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Twin sister of natural and revealed religion, and of heavenly birth, science will never belie her celestial origin, nor cease to sympathize with all that emanates from the same pure home. Human ignorance and prejudice may for a time seem to have divorced what God has joined together; but human ignorance and prejudice shall at length pass away, and then science and religion shall be seen blending their particolored rays into one beautiful bow of light, linking heaven to earth and earth to heaven.
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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 need not join the mad rush to purchase an earthly fallout shelter. God is our eternal fallout shelter.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 144
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We…know…that the smallest units of many materials are not atoms but molecules, which are groups of atoms, closely bound to each other. If we are to understand the structure of matter, we must understand not only the structure of atoms but also the reason atoms join and form molecules. We must understand what is called the chemical bond, which keeps the atoms together within the molecule, and we must get acquainted with a few typical molecules and their properties. The chemical bond and the properties of molecules are the subjects of chemistry.
In 'The Chemical Bond', Knowledge and Wonder (1962, Rev. ed. 1966), 142.
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When we react to life from the head without joining forces with the heart, it can lead us into childish, inelegant behavior that we don’t respect in ourselves. If we get the head in sync with the heart first, we have the power of their teamwork working for us and we can make the changes we know we need to make.
Doc Childre and Howard Martin
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While we have faced challenges before, this one is different. This time we join with all nations across the globe in a common endeavour, using the great advances of science and our instinctive compassion to heal. We will succeed—and that success will belong to every one of us.
Televised address (5 Apr 2020), after outbreak of COVID-19 pandemic.
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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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