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Who said: “Nature does nothing in vain when less will serve; for Nature is pleased with simplicity and affects not the pomp of superfluous causes.”
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Home > Category Index for Science Quotations > Category Index E > Category: Exploration

Exploration Quotes (161 quotes)
Explore Quotes, Explored Quotes, Exploring Quotes


… just as the astronomer, the physicist, the geologist, or other student of objective science looks about in the world of sense, so, not metaphorically speaking but literally, the mind of the mathematician goes forth in the universe of logic in quest of the things that are there; exploring the heights and depths for facts—ideas, classes, relationships, implications, and the rest; observing the minute and elusive with the powerful microscope of his Infinitesimal Analysis; observing the elusive and vast with the limitless telescope of his Calculus of the Infinite; making guesses regarding the order and internal harmony of the data observed and collocated; testing the hypotheses, not merely by the complete induction peculiar to mathematics, but, like his colleagues of the outer world, resorting also to experimental tests and incomplete induction; frequently finding it necessary, in view of unforeseen disclosures, to abandon one hopeful hypothesis or to transform it by retrenchment or by enlargement:—thus, in his own domain, matching, point for point, the processes, methods and experience familiar to the devotee of natural science.
In Lectures on Science, Philosophy and Art (1908), 26
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… to explore strange new worlds, to seek out new life and new civilizations, to boldly go where no one has gone before.
…...
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’Tis late; the astronomer in his lonely height
Exploring all the dark, descries from far
Orbs that like distant isles of splendor are,
And mornings whitening in the infinite.…
He summons one disheveled, wandering star,—
Return ten centuries hence on such a night.
That star will come. It dare not by one hour
Cheat science, or falsify her calculation;
Men will have passed, but watchful in the tower
Man shall remain in sleepless contemplation;
And should all men have perished there in turn,
Truth in their stead would watch that star’s return.
From poem, 'The Appointment', as translated by Arthur O’Shaughnessy, collected in Samuel Waddington (ed.), The Sonnets of Europe (1886), 154.
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[American] Fathers are spending too much time taking care of babies. No other civilization ever let responsible and important men spend their time in this way. They should not be involved in household details. They should take the children on trips, explore with them and talk things over. Men today have lost something by turning towards the home instead of going out of it.
As quoted in interview with Frances Glennon, 'Student and Teacher of Human Ways', Life (14 Sep 1959), 147.
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[Regarding evolution believers:] Their business is not with the possible, but the actual—not with a world which might be, but with a world that is. This they explore with a courage not unmixed with reverence, and according to methods which, like the quality of a tree, are tested by their fruits. They have but one desire—to know the truth. They have but one fear—to believe a lie.
'Scientific Use of the Imagination', Discourse Delivered Before the British Association at Liverpool, (16 Sep 1870). Fragments of Science for Unscientific People: A Series of Detached Essays, Lectures, and Reviews (1892), Vol. 2, 134.
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[The Colorado River] exploration was not made for adventure, but purely for scientific purposes, geographic and geologic, and I had no intention of writing an account of it, but only of recording the scientific results.
In 'Preface' to Canyons of the Colorado (1895), iii. The chairman of the House Appropriations Committee urged that an account of the historic exploration be published by the government.
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Poyekhali!
Let’s go!
Attributed as his exclamation as the Vostok I was launched (12 Apr 1961) with the first human into space,
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A new era of ocean exploration can yield discoveries that will help inform everything from critical medical advances to sustainable forms of energy. Consider that AZT, an early treatment for HIV, is derived from a Caribbean reef sponge, or that a great deal of energy—from offshore wind, to OTEC (ocean thermal energy conservation), to wind and wave energy—is yet untapped in our oceans.
In 'Why Exploring the Ocean is Mankind’s Next Giant Leap', contributed to CNN 'Lightyears Blog' (13 Mar 2012).
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A noiseless, patient spider,
I mark’d, where on a little promontory, it stood, isolated;
Mark’d how, to explore the vacant, vast surrounding,
It launch’d forth filament, filament, filament, out of itself
Ever unreeling them—ever tirelessly speeding them.
In 'A Noiseless Patient Spider', Broadway: A London Magazine (1868), reprinted in Leaves of Grass (5th ed., 1871, 1888), 343.
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A terrible wilderness of mountainous country constitutes the immediate environment of St. Paul’s. It is a precipitous cliff into the abyss, a gate of hell, more horrible than the fantasy of Dante could express it.
St. Paul’s Monastery is located 300-km southeast of Cairo, on the southern edge of a desert mountain range, adjacent to the Gulf of Suez
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Almost all of the space program’s important advances in scientific knowledge have been accomplished by hundreds of robotic spacecraft in orbit about Earth and on missions to the distant planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, and Neptune. Robotic exploration of the planets and their satellites as well as of comets and asteroids has truly revolutionized our knowledge of the solar system.
In 'Is Human Spaceflight Obsolete?', Issues in Science and Technology (Summer 2004).
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And so, after many years, victory has come, and the romance of exploration, of high hopes and bitter disappointment, will in a few years simply be recorded in the text-books of organic chemistry in a few terse sentences.
Recent Developments in the Vitamin A Field', The Pedlar Lecture, 4 Dec 1947, Journal of the Chemical Society, Part I (1948), 393.
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As new areas of the world came into view through exploration, the number of identified species of animals and plants grew astronomically. By 1800 it had reached 70,000. Today more than 1.25 million different species, two-thirds animal and one-third plant, are known, and no biologist supposes that the count is complete.
In The Intelligent Man's Guide to Science: The Biological Sciences (1960), 654. Also in Isaac Asimov’s Book of Science and Nature Quotations (1988), 320.
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Ask a follower of Bacon what [science] the new philosophy, as it was called in the time of Charles the Second, has effected for mankind, and his answer is ready; “It has lengthened life; it has mitigated pain; it has extinguished diseases; it has increased the fertility of the soil; it has given new securities to the mariner; it has furnished new arms to the warrior; it has spanned great rivers and estuaries with bridges of form unknown to our fathers; it has guided the thunderbolt innocuously from heaven to earth; it has lighted up the night with the splendour of the day; it has extended the range of the human vision; it has multiplied the power of the human muscles; it has accelerated motion; it has annihilated distance; it has facilitated intercourse, correspondence, all friendly offices, all dispatch of business; it has enabled man to descend to the depths of the sea, to soar into the air, to penetrate securely into the noxious recesses of the earth, to traverse the land in cars which whirl along without horses, to cross the ocean in ships which run ten knots an hour against the wind. These are but a part of its fruits, and of its first-fruits; for it is a philosophy which never rests, which has never attained, which is never perfect. Its law is progress. A point which yesterday was invisible is its goal to-day, and will be its starting-point to-morrow.”
From essay (Jul 1837) on 'Francis Bacon' in Edinburgh Review. In Baron Thomas Babington Macaulay and Lady Trevelyan (ed.) The Works of Lord Macaulay Complete (1871), Vol. 6, 222.
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Astronomers tell us that there are about 1023 stars in the universe. That’s a meaningful number to chemists—an Avogadro number of potential solar systems of which between 1 and 50 percent are estimated to have planets. … Planets are plentiful—and from this fact we can begin our exploration of how life might have evolved on any one of them.
In 'Cosmochemistry The Earliest Evolution', The Science Teacher (Oct 1983), 50, No. 7, 34.
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Astronomy was big science but not as big as high-energy physics, devoted to the exploration of the micro-universe. Any thorough account of the universe would have to explain why nature had mass-produced particles of certain kinds, wherewith to build atoms, stars, planets and living things. Looking deeply into matter required the most elaborate instruments ever conceived and engineered for scientific purposes.
In The Key to the Universe: Report on the New Physics (1977), 8.
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At the origin, the [space travel] pioneers of the greatest adventure of all times were motivated by the drive to explore, by the pure spirit of conquest, by the lofty desire to open up new fields to human genius. … From their exceptional journeys, they all came back with the revelation of beauty. Beauty of the black sky, beauty and variety of our planet, beauty of the Earth seen from the Moon, girdled by a scintillating belt of equatorial thunderstorms. They all emphasize that our planet is one, that borderlines are artificial, that humankind is one single community on board spaceship Earth. They all insist that this fragile gem is at our mercy and that we must all endeavor to protect it.
Written for 'Foreword' to Kevin W. Kelley (ed.), The Home Planet (1988), paragraphs 6-7 (unpaginated).
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At their best, at their most creative, science and engineering are attributes of liberty—noble expressions of man’s God-given right to investigate and explore the universe without fear of social or political or religious reprisals.
From 'Sarnoff Honored by I.R.E.', in Department of Information of the Radio Corporation of America, Radio Age: Research, Manufacturing, Communications, Broadcasting (Apr 1953), 12, No. 2, 32.
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But it is precisely mathematics, and the pure science generally, from which the general educated public and independent students have been debarred, and into which they have only rarely attained more than a very meagre insight. The reason of this is twofold. In the first place, the ascendant and consecutive character of mathematical knowledge renders its results absolutely insusceptible of presentation to persons who are unacquainted with what has gone before, and so necessitates on the part of its devotees a thorough and patient exploration of the field from the very beginning, as distinguished from those sciences which may, so to speak, be begun at the end, and which are consequently cultivated with the greatest zeal. The second reason is that, partly through the exigencies of academic instruction, but mainly through the martinet traditions of antiquity and the influence of mediaeval logic-mongers, the great bulk of the elementary text-books of mathematics have unconsciously assumed a very repellant form,—something similar to what is termed in the theory of protective mimicry in biology “the terrifying form.” And it is mainly to this formidableness and touch-me-not character of exterior, concealing withal a harmless body, that the undue neglect of typical mathematical studies is to be attributed.
In Editor’s Preface to Augustus De Morgan and Thomas J. McCormack (ed.), Elementary Illustrations of the Differential and Integral Calculus (1899), v.
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But just as astronomy succeeded astrology, following Kepler's discovery of planetary regularities, the discoveries of these many principles in empirical explorations of intellectual processes in machines should lead to a science, eventually.
[Co-author with South African mathematician, Seymour Papert (1928- )]
Artificial Intelligence (1973), 25.
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Civilization no longer needs to open up wilderness; it needs wilderness to help open up the still largely unexplored human mind.
In The Dark Range: a Naturalist's Night Notebook (1978), 113.
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Conquest has explored more than ever curiosity has done; and the path for science has been commonly opened by the sword.
In 'Island of Ceylon', Edinburgh Review (1803) collected in The Works of the Rev. Sydney Smith (1840), 350.
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Earthquakes traveling through the interior of the globe are like so many messengers sent out to explore a new land. The messages are constantly coming and seismologists are fast learning to read them.
In Our Mobile Earth (1926), 5.
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Equipped with his five senses, man explores the universe around him and calls the adventure science.
In The Nature of Science, and Other Lectures (1954), 6.
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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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Eventually man has to get there [Mars] because we will never be satisfied with unmanned exploration.
In 'Interview: Cyril Ponnamperuma', Space World (1989), 5, 25.
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Five centuries ago the printing press sparked a radical reshaping of the nature of education. By bringing a master’s words to those who could not hear a master’s voice, the technology of printing dissolved the notion that education must be reserved for those with the means to hire personal tutors. Today we are approaching a new technological revolution, one whose impact on education may be as far-reaching as that of the printing press: the emergence of powerful computers that are sufficiently inexpensive to be used by students for learning, play and exploration. It is our hope that these powerful but simple tools for creating and exploring richly interactive environments will dissolve the barriers to the production of knowledge as the printing press dissolved the barriers to its transmission.
As co-author with A.A. diSessa, from 'Preface', Turtle Geometry: The Computer as a Medium for Exploring Mathematics (1986), xiii.
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For the environmentalists, The Space Option is the ultimate environmental solution. For the Cornucopians, it is the technological fix that they are relying on. For the hard core space community, the obvious by-product would be the eventual exploration and settlement of the solar system. For most of humanity however, the ultimate benefit is having a realistic hope in a future with possibilities.... If our species does not soon embrace this unique opportunity with sufficient commitment, it may miss its one and only chance to do so. Humanity could soon be overwhelmed by one or more of the many challenges it now faces. The window of opportunity is closing as fast as the population is increasing. Our future will be either a Space Age or a Stone Age.
Arthur Woods and Marco Bernasconi
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From the freedom to explore comes the joy of learning. From knowledge acquired by personal initiative arises the desire for more knowledge. And from mastery of the novel and beautiful world awaiting every child comes self-confidence.
In The Creation: An Appeal to Save Life on Earth (2010), 147.
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Getting out of the comfortable path, that's what exploration is all about.
Interview (22 May 1997). On Academy of Achievement website.
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Go as far as you can see; when you get there, you'll be able to see farther.
Anonymous
Seen in some recent books attributed to J.P. Morgan, but no early example found. If you know a primary source, please contact Webmaster.
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Gödel proved that the world of pure mathematics is inexhaustible; no finite set of axioms and rules of inference can ever encompass the whole of mathematics; given any finite set of axioms, we can find meaningful mathematical questions which the axioms leave unanswered. I hope that an analogous Situation exists in the physical world. If my view of the future is correct, it means that the world of physics and astronomy is also inexhaustible; no matter how far we go into the future, there will always be new things happening, new information coming in, new worlds to explore, a constantly expanding domain of life, consciousness, and memory.
From Lecture 1, 'Philosophy', in a series of four James Arthur Lectures, 'Lectures on Time and its Mysteries' at New York University (Autumn 1978). Printed in 'Time Without End: Physics and Biology in an Open Universe', Reviews of Modern Physics (Jul 1979), 51, 449.
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Had we lived, I should have had a tale to tell of the hardihood, endurance and courage of my companions which would have stirred the heart of every Englishman. These rough notes and our dead bodies must tell the tale, but surely, a great rich country like ours will see that those who are dependent on us are properly provided for.
[Final words in a 'Message to the Public' left written in his diary dated 25 March 1912, shortly before he died on the Ross Ice Barrier, Antarctica. When searchers found his body, on 12 Nov 1912, Scott was discovered sitting upright against the pole of the tent with the diary behind his head, as if for a pillow.]
Final words in a 'Message to the Public' left written in his diary dated 25 March 1912, shortly before he died on the Ross Ice Barrier, Antarctica. In Logan Marshall, The Story of Polar Conquest: The Complete History of Arctic and Antarctic (1913), 24-25. by Logan Marshall - Polar regions - 1913
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Hogwash! … On our way to the moon, and on the moon, I worked as hard as John Young and it took me another six years before I found out the truth about God. In the days of Apollo and long afterwards I still believed in the theory of evolution and rejected the Biblical creation story. [Commenting on an American reporter’s printed intimation that Lunar Module pilots “had less things to do and had time to look out the spaceship’s window, or to explore the surroundings. Afterwards they could not cope with what they had seen, felt and experienced.”]
As quoted in Colin Burgess, Footprints in the Dust: The Epic Voyages of Apollo, 1969-1975 (2010), 422. Burgess introduced the quote with: “Charles Moss Duke Jr. has always been wrongly labeled as the astronaut who found God during his Apollo 16 mission, but even though he did eventually become a born-again Christian, this life-altering epiphany came some years after the event.” Burgess explained that Duke dislikes “misinformed characterizations of himself and his Apollo colleagues and of the religious impact of his own lunar mission.” [The ellipsis in the subject quote spans from one paragraph to the next in Burgess’ book. The ellipsis was added by Webmaster, on the assumption that the word “Hogwash!” belongs with the statement in the following paragraph.]
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Human interest in exploring the heavens goes back centuries. This is what human nature is all about.
…...
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I am among the most durable and passionate participants in the scientific exploration of the solar system, and I am a long-time advocate of the application of space technology to civil and military purposes of direct benefit to life on Earth and to our national security.
In 'Is Human Spaceflight Obsolete?' Quoted in Issues in Science and Technology (Summer 2004).
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I believe it’s worth emphasizing that a scientist and a graduate student in college, and a kid in grammar school all can start with understanding something new by exploring even the simplest and most common forms of life you find right in the heart of the city. Along a fringe of a street, along the edges and into a city park, is a multitude of species, of associations, of phenomena going on that scientists themselves have not fully come to understand.
From interview with National Geographic, in Andrew Revkin, 'Conservation Legend Has Big Plans For Future', on nationalgeographic.com website.
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I have always found small mammals enough like ourselves to feel that I could understand what their lives would be like, and yet different enough to make it a sort of adventure and exploration to see what they were doing.
Echoes of Bats and Men (1959), 2.
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I have ever been prone to seek adventure and to investigate and experiment where wiser men would have left well enough alone.
A Princess of Mars (1917)
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I shall collect plants and fossils, and with the best of instruments make astronomic observations. Yet this is not the main purpose of my journey. I shall endeavor to find out how nature's forces act upon one another, and in what manner the geographic environment exerts its influence on animals and plants. In short, I must find out about the harmony in nature.
Letter to Karl Freiesleben (Jun 1799). In Helmut de Terra, Humboldt: The Life and Times of Alexander van Humboldt 1769-1859 (1955), 87.
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I think it [my ideal birthday present] would be a commitment in the policy of the United States and internationally to go for the exploration and identification and protection of every species on Earth, with the same vigor that is building toward stabilizing earth’s climate, because the two are intimately linked.
From interview with National Geographic, in Andrew Revkin, 'Conservation Legend Has Big Plans For Future', on nationalgeographic.com website.
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I think that the event which, more than anything else, led me to the search for ways of making more powerful radio telescopes, was the recognition, in 1952, that the intense source in the constellation of Cygnus was a distant galaxy—1000 million light years away. This discovery showed that some galaxies were capable of producing radio emission about a million times more intense than that from our own Galaxy or the Andromeda nebula, and the mechanisms responsible were quite unknown. ... [T]he possibilities were so exciting even in 1952 that my colleagues and I set about the task of designing instruments capable of extending the observations to weaker and weaker sources, and of exploring their internal structure.
From Nobel Lecture (12 Dec 1974). In Stig Lundqvist (ed.), Nobel Lectures, Physics 1971-1980 (1992), 187.
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I wanted to be a scientist from my earliest school days. The crystallizing moment came when I first caught on that stars are mighty suns, and how staggeringly far away they must be to appear to us as mere points of light. I’m not sure I even knew the word science then, but I was gripped by the prospect of understanding how things work, of helping to uncover deep mysteries, of exploring new worlds.
In 'With Science on Our Side', Washington Post (9 Jan 1994).
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I wanted to see what no one had yet observed, even if I had to pay for this curiosity with my life.
Twenty Thousand Leagues Under the Sea translated by Walter James Miller and Frederick Paul Walter (1870). In Gary Westfahl, Science Fiction Quotations: From the Inner Mind to the Outer Limits (2006), 116.
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I would like to see us continue to explore space. There's just a lot for us to keep learning. I think it’s a good investment, so on my list of things that I want our country to invest in—in terms of research and innovation and science, basic science, exploring space, exploring our oceans, exploring our genome—we’re at the brink of all kinds of new information. Let's not back off now!
At Town Hall Meeting, Dover, New Hampshire (16 Jul 2015). As quoted in Clare Foran, 'Hillary Clinton: I Wanted to Be an Astronaut', National Journal (16 Jul 2015).
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I'm sure we would not have had men on the Moon if it had not been for Wells and Verne and the people who write about this and made people think about it. I'm rather proud of the fact that I know several astronauts who became astronauts through reading my books.
Address to US Congress, 1975. Science and Technology Committee, United States Congress, House, Future Space Programs, 1975, Hearings Before the Subcommittee on Space Science and Applications (1975), 206. Also in Arthur C. ClarkeThe View from Serendip (1977), 238.
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I’m one of the most durable and fervent advocates of space exploration, but my take is that we could do it robotically at far less cost and far greater quantity and quality of results.
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If and when all the laws governing physical phenomena are finally discovered, and all the empirical constants occurring in these laws are finally expressed through the four independent basic constants, we will be able to say that physical science has reached its end, that no excitement is left in further explorations, and that all that remains to a physicist is either tedious work on minor details or the self-educational study and adoration of the magnificence of the completed system. At that stage physical science will enter from the epoch of Columbus and Magellan into the epoch of the National Geographic Magazine!
'Any Physics Tomorrow', Physics Today, January 1949, 2, 17.
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If we follow the advice of these people [who oppose nuclear power, increased strip-mining and stepped-up off-shore oil exploration], we might as well go back into the cave right away. There would be incredible unemployment. Food production would be cut severely. In that direction lies catastrophe.
In address at City College, reported in Victor K. McElheny, 'Hans Bethe Urges U.S. Drive for Atom Power and Coal', The New York Times (14 Dec 1974), 58.
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If we knew exactly what to expect throughout the Solar System, we would have no reason to explore it.
The Saturn Game (1981)
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In any field find the strangest thing and then explore it.
Quoted in James Gleick, Genius: the Life and Science of Richard Feynman (1993), 93.
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In my youth scarcely anyone mentioned Wegener’s ideas of a mobile earth and moving continents. … The great impediment was that geologists only studied that one quarter of the earth’s surface not covered by ice or water; at that time no one had any means for exploring the great interior or the ocean floors.
In 'Early Days in University Geophysics', Annual Review of Earth and Planetary Sciences (1982), 10, 6.
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In science, the more discovered, the more new paths open for exploration. It is usual in science, when things are vague and unclear, for the path to be like that of a drunkard, wandering in a zigzag. As we stagger back from what lastly dawns upon our befuddled wits is the wrong way, we cross over the true path and move nearly as far to the, equally wrong, opposite side. If all goes well, our deviations lessen and the path converges towards, but never completely follows, the true one. It gives a new insight to the old tag in vino veritas.
In The Ages of Gaia: A Biography of Our Living Earth (1999), 199.
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In the end, after a lifetime’s exploration of the living world, I’m certain of one thing. This is not about saving our planet… it’s about saving ourselves.
From narration to Netflix TV program, A Life on Our Planet: My Witness Statement and a Vision for the Future (4 Oct 2020).
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In the infancy of physical science, it was hoped that some discovery might be made that would enable us to emancipate ourselves from the bondage of gravity, and, at least, pay a visit to our neighbour the moon. The poor attempts of the aeronaut have shewn the hopelessness of the enterprise. The success of his achievement depends on the buoyant power of the atmosphere, but the atmosphere extends only a few miles above the earth, and its action cannot reach beyond its own limits. The only machine, independent of the atmosphere, we can conceive of, would be one on the principle of the rocket. The rocket rises in the air, not from the resistance offered by the atmosphere to its fiery stream, but from the internal reaction. The velocity would, indeed, be greater in a vacuum than in the atmosphere, and could we dispense with the comfort of breathing air, we might, with such a machine, transcend the boundaries of our globe, and visit other orbs.
God's Glory in the Heavens (1862, 3rd Ed. 1867) 3-4.
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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 in the exploration of this vast deep-sea region that the finest field for submarine discovery yet remains.
In The Natural History of the European Seas (1859), 27.
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It would be rash to say that nothing remains for discovery or improvement even in elementary mathematics, but it may be safely asserted that the ground has been so long and so thoroughly explored as to hold out little hope of profitable return for a casual adventurer.
In 'Private Study of Mathematics', Conflict of Studies and other Essays (1873), 73.
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It would seem at first sight as if the rapid expansion of the region of mathematics must be a source of danger to its future progress. Not only does the area widen but the subjects of study increase rapidly in number, and the work of the mathematician tends to become more and more specialized. It is, of course, merely a brilliant exaggeration to say that no mathematician is able to understand the work of any other mathematician, but it is certainly true that it is daily becoming more and more difficult for a mathematician to keep himself acquainted, even in a general way, with the progress of any of the branches of mathematics except those which form the field of his own labours. I believe, however, that the increasing extent of the territory of mathematics will always be counteracted by increased facilities in the means of communication. Additional knowledge opens to us new principles and methods which may conduct us with the greatest ease to results which previously were most difficult of access; and improvements in notation may exercise the most powerful effects both in the simplification and accessibility of a subject. It rests with the worker in mathematics not only to explore new truths, but to devise the language by which they may be discovered and expressed; and the genius of a great mathematician displays itself no less in the notation he invents for deciphering his subject than in the results attained. … I have great faith in the power of well-chosen notation to simplify complicated theories and to bring remote ones near and I think it is safe to predict that the increased knowledge of principles and the resulting improvements in the symbolic language of mathematics will always enable us to grapple satisfactorily with the difficulties arising from the mere extent of the subject.
In Presidential Address British Association for the Advancement of Science, Section A., (1890), Nature, 42, 466.
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It’s human nature to stretch, to go, to see, to understand. Exploration is not a choice, really; it’s an imperative.
…...
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Leave the beaten track occasionally and dive into the woods. Every time you do so you will be certain to find something that you have never seen before. Of course, it will be a little thing, but do not ignore it. Follow it up, explore all around it: one discovery will lead to another, and before you know it, you will have something worth thinking about to occupy your mind. All really big discoveries are the results of thought.
Address (22 May 1914) to the graduating class of the Friends’ School, Washington, D.C. Printed in 'Discovery and Invention', The National Geographic Magazine (1914), 25, 650.
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Let both sides seek to invoke the wonders of science instead of its terrors. Together let us explore the stars, conquer the deserts, eradicate disease, tap the ocean depths, and encourage the arts and commerce.
From Inaugural Address (20 Jan 1961). As quoted in Elizabeth Sirimarco, The Cold War (2005), 45.
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Like buried treasures, the outposts of the universe have beckoned to the adventurous from immemorial times. Princes and potentates, political or industrial, equally with men of science, have felt the lure of the uncharted seas of space, and through their provision of instrumental means the sphere of exploration has made new discoveries and brought back permanent additions to our knowledge of the heavens.
From article by Hale in Harper's Magazine, 156, (1928), 639-646, in which he urged building a 200-inch optical telescope. Cited in Kenneth R. Lang, Parting the Cosmic Veil (2006), 82 and 210. Also in George Ellery Hale, Signals From the Stars (1931), 1.
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Like my father and grandfather, Philippe and Jacques-Yves Cousteau, I’ve dedicated my life to exploring and protecting our seas, in large part through documentary film.
In 'Ocean Oases: Protecting Canyons & Seamounts of the Atlantic Coast', The Huffington Post (8 Jun 2011).
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Man was made to try. Afterward he’s free to keep or throw away what pleasures or what promise that he’s found. What knowledge gained or stumbled on can be discarded or retained.
In 'Reactions to Man’s Landing on the Moon Show Broad Variations in Opinions', The New York Times (21 Jul 1969), 6.
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Man, in his quest for knowledge and progress, is determined and cannot be deterred. The exploration of space will go ahead, whether we join in or not, and it is one of the great adventures of all time, and no nation which expects to be the leader of other nations can expect to stay behind in this race for space.
Address at Rice University in Houston (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum.
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Mankind is drawn to the heavens for the same reason we were once drawn into unknown lands and across the open sea. We choose to explore space because doing so improves our lives, and lifts our national spirit. So let us continue the journey.
Conclusion of speech, NASA Headquarters (14 Jan 2004). In Office of the Federal Register (U.S.) Staff (eds.), Public Papers of the Presidents of the United States, George W. Bush (2007), 59.
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Many years have passed since the exploration, and those who were boys with me in the enterprise are—ah, most of them are dead, and the living are gray with age. Their bronzed, hardy, brave faces come before me as they appeared in the vigor of life; their lithe but powerful forms seem to move around me; and the memory of the men and their heroic deeds, the men and their generous acts, overwhelms me with a joy that seems almost a grief, for it starts a fountain of tears. I was a maimed man; my right arm was gone; and these brave men, these good men, never forgot it. In every danger my safety was their first care, and in every waking hour some kind service was rendered me, and they transfigured my misfortune into a boon.
In 'Preface' to Canyons of the Colorado (1895), v.
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Mars is the next frontier, what the Old West was, what America was 500 years ago. It’s been 500 years since Columbus. It’s time to strike out anew. There’s a big argument at the moment. The moon is closer, and we’ve got to go back there sometime. But whether it will ever be settled on a large scale is a question. But Mars—there’s no doubt about it. … Everything you need is on Mars.
The characteristic of human nature, and perhaps our simian family group, is curiosity and exploration. When we stop doing that, we won't be human anymore. You say there's been a decline, well, I’ve seen far more happen in my lifetime than I ever dreamed. And the momentary plateau now, well, many of our problems on Earth can only be solved by space technology. … When we get out of the present sort of slump and confusion, well, I mean the next step is space. It's inevitable.
Interview in Sri Lanka by Steve Coll for The Washington Post (9 Mar 1992), B1.
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Mathematicians deal with possible worlds, with an infinite number of logically consistent systems. Observers explore the one particular world we inhabit. Between the two stands the theorist. He studies possible worlds but only those which are compatible with the information furnished by observers. In other words, theory attempts to segregate the minimum number of possible worlds which must include the actual world we inhabit. Then the observer, with new factual information, attempts to reduce the list further. And so it goes, observation and theory advancing together toward the common goal of science, knowledge of the structure and observation of the universe.
Lecture to Sigma Xi, 'The Problem of the Expanding Universe' (1941), printed in Sigma Xi Quarterly (1942), 30, 104-105. Reprinted in Smithsonian Institution Report of the Board of Regents (1943), 97, 123. As cited by Norriss S. Hetherington in 'Philosophical Values and Observation in Edwin Hubble's Choice of a Model of the Universe', Historical Studies in the Physical Sciences (1982), 13, No. 1, 63.
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Maxwell, like every other pioneer who does not live to explore the country he opened out, had not had time to investigate the most direct means of access to the country, or the most systematic way of exploring it. This has been reserved for Oliver Heaviside to do. Maxwell’s treatise is cumbered with the débris of his brilliant lines of assault, of his entrenched camps, of his battles. Oliver Heaviside has cleared those away, has opened up a direct route, has made a broad road, and has explored a considerable tract of country.
Book Review of Heaviside’s Electrical Papers in The Electrician (11 Aug 1893). Collected in Joseph Larmore (ed.), The Scientific Writings of the Late George Francis FitzGerald (1902), 294.
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Microwildenesses exist in a handful of soil…. A lifetime can be spent in a Magellanic voyage around the trunk of a single tree.
From 'Biodiversity, Biophilia', Naturalist (1994, 2019), 364.
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Modern chemistry, with its far-reaching generalizations and hypotheses, is a fine example of how far the human mind can go in exploring the unknown beyond the limits of human senses.
In 'Introduction', General Chemistry: An Elementary Survey Emphasizing Industrial Applications of Fundamental Principles (1923), 4.
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Much of the geographical work of the past hundred years... has either explicitly or implicitly taken its inspiration from biology, and in particular Darwin. Many of the original Darwinians, such as Hooker, Wallace, Huxley, Bates, and Darwin himself, were actively concerned with geographical exploration, and it was largely facts of geographical distribution in a spatial setting which provided Darwin with the germ of his theory.
'Darwin's Impact on Geography', Annals of the Association of American Geographers (1966), 56, 683.
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My grandfather pioneered exploration of what he called “our water planet,” then my father sought to understand the human connection, and now, as part of the third generation, I’m dedicated to not only raising awareness but also to empowering people to take action.
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My view, the skeptical one, holds that we may be as far away from an understanding of elementary particles as Newton's successors were from quantum mechanics. Like them, we have two tremendous tasks ahead of us. One is to study and explore the mathematics of the existing theories. The existing quantum field-theories may or may not be correct, but they certainly conceal mathematical depths which will take the genius of an Euler or a Hamilton to plumb. Our second task is to press on with the exploration of the wide range of physical phenomena of which the existing theories take no account. This means pressing on with experiments in the fashionable area of particle physics. Outstanding among the areas of physics which have been left out of recent theories of elementary particles are gravitation and cosmology
In Scientific American (Sep 1958). As cited in '50, 100 & 150 years ago', Scientific American (Sep 2008), 299, No. 3, 14.
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Nature does not allow us to explore her sanctuaries all at once. We think we are initiated, but we are still only on the threshold.
Epigraph, without citation, in Sir Richard Gregory, Discovery: Or, The Spirit and Service of Science (1916), 292.
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No society has ever yet been able to handle the temptations of technology, to mastery, to waste, to exuberance, to exploration and exploitation. We have to create something new, something that has never existed in the world before. We have to learn to cherish this Earth and cherish it as something that is fragile, that’s only one, that’s all we have, and we have to set up a system that is sufficiently complex to continue to monitor the whole. We have to use our scientific knowledge to correct the dangers that have come from science and technology.
Speaking at the first Earth Day (22 Apr 1970). As quoted in Hans Baer, ‎Merrill Singer, The Anthropology of Climate Change: An Integrated Critical (2014), 23.
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On my return from the first exploration of the canyons of the Colorado, I found that our journey had been the theme of much newspaper writing. A story of disaster had been circulated, with many particulars of hardship and tragedy, so that it was currently believed throughout the United States that all the members of the party were lost save one. A good friend of mine had gathered a great number of obituary notices, and it was interesting and rather flattering to me to discover the high esteem in which I had been held by the people of the United States. In my supposed death I had attained to a glory which I fear my continued life has not fully vindicated.
First paragraph in 'Preface' to Canyons of the Colorado (1895), iii.
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Once human beings realize something can be done, they’re not satisfied until they’ve done it.
Cease Fire (1958). In Gary Westfahl, Science Fiction Quotations: From the Inner Mind to the Outer Limits (2006), 1.
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One of the gladdest moments of human life, methinks, is the departure upon a distant journey into unknown lands. Shaking off with one mighty effort the fetters of habit, the leaden weight of routine, the cloak of many cares and the slavery of home, man feel once more happy.
In Zanzibar: City, Island, and Coast (1872), Vol. 1, 16.
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Our [scientists] enterprise, the exploration of nature’s secrets, had no beginning and will have no end. Exploration is as natural an activity for human beings as conversation.
In From Eros to Gaia (1992), 197.
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Our exploration of the planets represents a triumph of imagination and will for the human race. The events of the last twenty years are perhaps too recent for us to adequately appreciate their proper historical significance.
We can, however, appraise the scientific significance of these voyages of exploration: They have been nothing less than revolutionary both in providing a new picture of the nature of the solar system, its likely origin and evolution, and in giving us a new perspective on our own planet Earth.
NASA
NASA Advisory Committee, report of Solar System Exploration Committee, Planetary Exploration Through Year 2000: A Core Program (1983).
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Outside our consciousness there lies the cold and alien world of actual things. Between the two stretches the narrow borderland of the senses. No communication between the two worlds is possible excepting across the narrow strip. For a proper understanding of ourselves and of the world, it is of the highest importance that this borderland should be thoroughly explored.
Keynote Address, a tribute to Helmholtz, at the Imperial Palace, Berlin (Aug 1891). Cited in Davis Baird, R.I.G. Hughes and Alfred Nordmann, Heinrich Hertz: Classical Physicist, Modern Philosopher (1998), 157.
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Patience must first explore the depths where the pearl lies hid, before Genius boldly dives and brings it up full into light.
In Memoirs of the life of the Right Honorable Richard Brinsley Sheridan (1825), Vol. 1, 209.
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Quantum mechanics and relativity, taken together, are extraordinarily restrictive, and they therefore provide us with a great logical machine. We can explore with our minds any number of possible universes consisting of all kinds of mythical particles and interactions, but all except a very few can be rejected on a priori grounds because they are not simultaneously consistent with special relativity and quantum mechanics. Hopefully in the end we will find that only one theory is consistent with both and that theory will determine the nature of our particular universe.
As quoted in John D. Barrow, The Universe that Discovered Itself (2000), 360.
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Research may start from definite problems whose importance it recognizes and whose solution is sought more or less directly by all forces. But equally legitimate is the other method of research which only selects the field of its activity and, contrary to the first method, freely reconnoitres in the search for problems which are capable of solution. Different individuals will hold different views as to the relative value of these two methods. If the first method leads to greater penetration it is also easily exposed to the danger of unproductivity. To the second method we owe the acquisition of large and new fields, in which the details of many things remain to be determined and explored by the first method.
In Zum Gedächtniss an Julius Plucker', Göttinger Abhandlungen (1871), 16, Mathematische Classe, 6.
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Returning to the moon is an important step for our space program. Establishing an extended human presence on the moon could vastly reduce the costs of further space exploration, making possible ever more ambitious missions. Lifting heavy spacecraft and fuel out of the Earth’s gravity is expensive. Spacecraft assembled and provisioned on the moon could escape its far lower gravity using far less energy, and thus, far less cost. Also, the moon is home to abundant resources. Its soil contains raw materials that might be harvested and processed into rocket fuel or breathable air. We can use our time on the moon to develop and test new approaches and technologies and systems that will allow us to function in other, more challenging environments. The moon is a logical step toward further progress and achievement.
Speech, NASA Headquarters (14 Jan 2004). In Office of the Federal Register (U.S.) Staff (eds.), Public Papers of the Presidents of the United States, George W. Bush (2007), 58.
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Science has explored the microcosmos and the macrocosmos; we have a good sense of the lay of the land. The great unexplored frontier is complexity.
In The Dreams of Reason: The Computer and the Rise of the Sciences of Complexity (1988), 12.
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Science is in a literal sense constructive of new facts. It has no fixed body of facts passively awaiting explanation, for successful theories allow the construction of new instruments—electron microscopes and deep space probes—and the exploration of phenomena that were beyond description—the behavior of transistors, recombinant DNA, and elementary particles, for example. This is a key point in the progressive nature of science—not only are there more elegant or accurate analyses of phenomena already known, but there is also extension of the range of phenomena that exist to be described and explained.
Co-author with Michael A. Arbib, English-born professor of computer science and biomedical engineering (1940-)
Michael A. Arbib and Mary B. Hesse, The Construction of Reality (1986), 8.
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Science too proceeds by lantern-flashes; it explores nature’s inexhaustible mosaic piece by piece. Too often the wick lacks oil; the glass panes of the lantern may not be clean. No matter: his work is not in vain who first recognizes and shows to others one speck of the vast unknown.
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Scientific inquiry would thus he conceived of as analogous to terrestrial exploration, whose product—geography—yields results of continually smaller significance which fill in ever more minute gaps in our information. In such a view, later investigations yield findings of ever smaller importance, with each successive accretion making a relatively smaller contribution to what has already come to hand. The advance of science leads, step by diminished step, toward a fixed and final view of things.
In The Limits Of Science (1984, Rev. 1999), 67.
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Scientists do not believe in fundamental and absolute certainties. For the scientist, certainty is never an end, but a search; not the ordering of certainty, but its exploration. For the scientist, certainty represents the highest degree of probability.
Ashley Montagu (ed.), Science and Creationism (1984), Introduction, 7-8.
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So far as modern science is concerned, we have to abandon completely the idea that by going into the realm of the small we shall reach the ultimate foundations of the universe. I believe we can abandon this idea without any regret. The universe is infinite in all directions, not only above us in the large but also below us in the small. If we start from our human scale of existence and explore the content of the universe further and further, we finally arrive, both in the large and in the small, at misty distances where first our senses and then even our concepts fail us.
To the German Society of Scientists and Physicists, Braunschweig, Germany (Sep 1896). As quoted in Anton Z. Capri, Quips, Quotes, and Quanta: An Anecdotal History of Physics (2011), 20. Wiechert was reporting his measurement of the mass of the moving particles in a cathode ray beam (electrons).
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Some gifted adventurer is always sailing round the world of art and science, to bring home costly merchandise from every port.
Pleasures, Objects, and Advantages of Literature (1855), 53.
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Space exploration is risky. It’s hard. And actually, let me say here that I feel like we need to take on more risk than we have been in space exploration. The public doesn’t like risk, and they hate failure. But failures happen. They shouldn’t happen for stupid reasons. But if they happen when you were trying something risky, you learn. That teaches you something. At least it should. And you try harder next time.
On the failure of the Cosmos-1 solar sail (Jun 2005).
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Such is the character of mathematics in its profounder depths and in its higher and remoter zones that it is well nigh impossible to convey to one who has not devoted years to its exploration a just impression of the scope and magnitude of the existing body of the science. An imagination formed by other disciplines and accustomed to the interests of another field may scarcely receive suddenly an apocalyptic vision of that infinite interior world. But how amazing and how edifying were such a revelation, if it only could be made.
In Lectures on Science, Philosophy and Art (1908), 6.
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Take the living human brain endowed with mind and thought. …. The physicist brings his tools and commences systematic exploration. All that he discovers is a collection of atoms and electrons and fields of force arranged in space and time, apparently similar to those found in inorganic objects. He may trace other physical characteristics, energy, temperature, entropy. None of these is identical with thought. … How can this collection of ordinary atoms be a thinking machine? … The Victorian physicist felt that he knew just what he was talking about when he used such terms as matter and atoms. … But now we realize that science has nothing to say as to the intrinsic nature of the atom. The physical atom is, like everything else in physics, a schedule of pointer readings.
From a Gifford Lecture, University of Edinburgh (1927), published in 'Pointer Readings: Limits of Physical Knowledge', The Nature of the Physical World (1929), 258-259.
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The chemist works along his own brilliant line of discovery and exposition; the astronomer has his special field to explore; the geologist has a well-defined sphere to occupy. It is manifest, however, that not one of these men can tell the whole tale, and make a complete story of creation. Another man is wanted. A man who, though not necessarily going into formal science, sees the whole idea, and speaks of it in its unity. This man is the theologian. He is not a chemist, an astronomer, a geologist, a botanist——he is more: he speaks of circles, not of segments; of principles, not of facts; of causes and purposes rather than of effects and appearances. Not that the latter are excluded from his study, but that they are so wisely included in it as to be put in their proper places.
In The People's Bible: Discourses Upon Holy Scripture: Vol. 1. Genesis (1885), 120.
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The Columbia is lost; there are no survivors. … In an age when space flight has come to seem almost routine, it is easy to overlook the dangers of travel by rocket, and the difficulties of navigating the fierce outer atmosphere of the Earth. These astronauts knew the dangers, and they faced them willingly, knowing they had a high and noble purpose in life. Because of their courage and daring idealism, we will miss them all the more. … The cause in which they died will continue. Mankind is led into the darkness beyond our world by the inspiration of discovery and the longing to understand. Our journey into space will go on.
Address to the Nation on the Space Shuttle Columbia tragedy, from the Cabinet Room (1 Feb 2003). In William J. Federer, A Treasury of Presidential Quotations (2004), 437.
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The development of statistics are causing history to be rewritten. Till recently the historian studied nations in the aggregate, and gave us only the story of princes, dynasties, sieges, and battles. Of the people themselves—the great social body with life, growth, sources, elements, and laws of its own—he told us nothing. Now statistical inquiry leads him into the hovels, homes, workshops, mines, fields, prisons, hospitals, and all places where human nature displays its weakness and strength. In these explorations he discovers the seeds of national growth and decay, and thus becomes the prophet of his generation.
Speech (16 Dec 1867) given while a member of the U.S. House of Representatives, introducing resolution for the appointment of a committee to examine the necessities for legislation upon the subject of the ninth census to be taken the following year. Quoted in John Clark Ridpath, The Life and Work of James A. Garfield (1881), 217.
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The discoveries of science, the works of art are explorations—more, are explosions, of a hidden likeness. The discoverer or artist presents in them two aspects of nature and fuses them into one. This is the act of creation, in which an original thought is born, and it is the same act in original science and original art.
From Science and Human Values (1956), 30.
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The engineer is concerned to travel from the abstract to the concrete. He begins with an idea and ends with an object. He journeys from theory to practice. The scientist’s job is the precise opposite. He explores nature with his telescopes or microscopes, or much more sophisticated techniques, and feeds into a computer what he finds or sees in an attempt to define mathematically its significance and relationships. He travels from the real to the symbolic, from the concrete to the abstract. The scientist and the engineer are the mirror image of each other.
In The Development of Design (1981), 19-20.
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The Europeans and the Americans are not throwing $10 billion down this gigantic tube for nothing. We're exploring the very forefront of physics and cosmology with the Large Hadron Collider because we want to have a window on creation, we want to recreate a tiny piece of Genesis to unlock some of the greatest secrets of the universe.
Quoted by Alexander G. Higgins (AP), in 'Particle Collider: Black Hole or Crucial Machine', The Journal Gazette (7 Aug 2009).
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The exploration of space—by men and machines, for each complements the other—will be a continuing process with countless goals, but no final end.
In The View from Serendip (1977), 87.
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The exploration of the external world by the methods of physical science leads not to a concrete reality but to a shadow world of symbols, beneath which those methods are unadapted for penetrating.
Swarthmore Lecture (1929) at Friends’ House, London, printed in Science and the Unseen World (1929), 73.
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The explorations of space end on a note of uncertainty. And necessarily so. … We know our immediate neighborhood rather intimately. With increasing distance our knowledge fades, and fades rapidly. Eventually, we reach the dim boundary—the utmost limits of our telescopes. There, we measure shadows, and we search among ghostly errors of measurement for landmarks that are scarcely more substantial. The search will continue. Not until the empirical resources are exhausted, need we pass on to the dreamy realms of speculation.
From conclusion of The Silliman Memorial Lectures Series delivered at Yale University (Fall 1935). Collected in The Realm of the Nebulae: The Silliman Memorial Lectures Series (1936), 201-202.
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The famous set of pictures taken from the moon, [celebrate] the birth of a global consciousness that will help build a peaceful future for humankind. That future is in the hands of those who dedicate their lives to explore Teilhard de Chardin’s three infinities: the infinitely big, the infinitely small, and the infinitely complex. And from all the beauty they discover while crossing perpetually receding frontiers, they develop for nature and for humankind an infinite love.
From concluding paragraph written for 'Foreword' to Kevin W. Kelley (ed.), The Home Planet (1988), paragraph 8 (unpaginated).
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The greatest scientists have always looked on scientific materialism as a kind of religion, as a mythology. They are impelled by a great desire to explore mystery, to celebrate mystery in the universe, to open it up, to read the stars, to find the deeper meaning.
In Pamela Weintraub (ed.), 'E. O. Wilson', The Omni Interviews (1984), 231.
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The information we have so far from the exploration of the planets seems to indicate that the earth is probably the only place in this solar system where there is life.
In Space World (1985), 5, 25.
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The moment one has offered an original explanation for a phenomenon which seems satisfactory, that moment affection for his intellectual child springs into existence, and as the explanation grows into a definite theory his parental affections cluster about his offspring and it grows more and more dear to him. ... There springs up also unwittingly a pressing of the theory to make it fit the facts and a pressing of the facts to make them fit the theory... To avoid this grave danger, the method of multiple working hypotheses is urged. It differs from the simple working hypothesis in that it distributes the effort and divides the affections... In developing the multiple hypotheses, the effort is to bring up into view every rational exploration of the phenomenon in hand and to develop every tenable hypothesis relative to its nature, cause or origin, and to give to all of these as impartially as possible a working form and a due place in the investigation. The investigator thus becomes the parent of a family of hypotheses; and by his parental relations to all is morally forbidden to fasten his affections unduly upon anyone. ... Each hypothesis suggests its own criteria, its own method of proof, its own method of developing the truth, and if a group of hypotheses encompass the subject on all sides, the total outcome of means and of methods is full and rich.
'Studies for Students. The Method of Multiple Working Hypotheses', Journal of Geology (1897), 5, 840-6.
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The more experiences and experiments accumulate in the exploration of nature, the more precarious the theories become. But it is not always good to discard them immediately on this account. For every hypothesis which once was sound was useful for thinking of previous phenomena in the proper interrelations and for keeping them in context. We ought to set down contradictory experiences separately, until enough have accumulated to make building a new structure worthwhile.
Lichtenberg: Aphorisms & Letters (1969), 61.
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The personal adventures of a geologist would form an amusing narrative. He is trudging along, dusty and weather­beaten, with his wallet at his back, and his hammer on his shoulder, and he is taken for a stone-mason travelling in search of work. In mining-countries, he is supposed to be in quest of mines, and receives many tempting offers of shares in the ‘Wheel Dream’, or the ‘Golden Venture’;—he has been watched as a smuggler; it is well if he has not been committed as a vagrant, or apprehended as a spy, for he has been refused admittance to an inn, or has been ushered into the room appropriated to ostlers and postilions. When his fame has spread among the more enlightened part of the community of a district which he has been exploring, and inquiries are made of the peasantry as to the habits and pursuits of the great philosopher who has been among them, and with whom they have become familiar, it is found that the importance attached by him to shells and stones, and such like trumpery, is looked upon as a species of derangement, but they speak with delight of his affability, sprightliness, and good-humour. They respect the strength of his arm, and the weight of his hammer, as they point to marks which he inflicted on the rocks, and they recount with wonder his pedestrian performances, and the voracious appetite with which, at the close of a long day’s work he would devour the coarsest food that was set before him.
In Practical Geology and Mineralogy: With Instructions for the Qualitative Analysis of Minerals (1841), 31-2.
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The presentation of mathematics where you start with definitions, for example, is simply wrong. Definitions aren't the places where things start. Mathematics starts with ideas and general concepts, and then definitions are isolated from concepts. Definitions occur somewhere in the middle of a progression or the development of a mathematical concept. The same thing applies to theorems and other icons of mathematical progress. They occur in the middle of a progression of how we explore the unknown.
Interview for website of the Mathematical Association of America.
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The professor may choose familiar topics as a starting point. The students collect material, work problems, observe regularities, frame hypotheses, discover and prove theorems for themselves. … the student knows what he is doing and where he is going; he is secure in his mastery of the subject, strengthened in confidence of himself. He has had the experience of discovering mathematics. He no longer thinks of mathematics as static dogma learned by rote. He sees mathematics as something growing and developing, mathematical concepts as something continually revised and enriched in the light of new knowledge. The course may have covered a very limited region, but it should leave the student ready to explore further on his own.
In A Concrete Approach to Abstract Algebra (1959), 1-2.
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The progress of science has always been the result of a close interplay between our concepts of the universe and our observations on nature. The former can only evolve out of the latter and yet the latter is also conditioned greatly by the former. Thus in our exploration of nature, the interplay between our concepts and our observations may sometimes lead to totally unexpected aspects among already familiar phenomena.
'Weak Interactions and Nonconservation of Parity', Nobel Lecture, 11 Dec 1957. In Nobel Lectures: Physics 1942-1962 (1964), 417.
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The scientific method is a potentiation of common sense, exercised with a specially firm determination not to persist in error if any exertion of hand or mind can deliver us from it. Like other exploratory processes, it can be resolved into a dialogue between fact and fancy, the actual and the possible; between what could be true and what is in fact the case. The purpose of scientific enquiry is not to compile an inventory of factual information, nor to build up a totalitarian world picture of Natural Laws in which every event that is not compulsory is forbidden. We should think of it rather as a logically articulated structure of justifiable beliefs about nature. It begins as a story about a Possible World—a story which we invent and criticise and modify as we go along, so that it ends by being, as nearly as we can make it, a story about real life.
Induction and Intuition in Scientific Thought (1969), 59.
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The scientist explores the world of phenomena by successive approximations. He knows that his data are not precise and that his theories must always be tested. It is quite natural that he tends to develop healthy skepticism, suspended judgment, and disciplined imagination.
In Commencement Address, California Institute of Technology (10 Jun 1938), 'Experiment and Experience'. Collected in abridged form in The Huntington Library Quarterly (Apr 1939), 2, No. 3, 245
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The seer of the past was the man of mysteries. The veil within which none but the high-priest must enter, … whose traditions are the cement in which the stones of all these temples rising around us are laid. The seer of to-day is the man of explorations and explanations. Moses is busy with his microscope, and Daniel prophesies from the meteorological headquarters at Washington.
From 'Professor Jeffries Wyman: A Memorial Outline', The Atlantic Monthly (Nov 1874), 622.
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The true mathematician is always a good deal of an artist, an architect, yes, of a poet. Beyond the real world, though perceptibly connected with it, mathematicians have intellectually created an ideal world, which they attempt to develop into the most perfect of all worlds, and which is being explored in every direction. None has the faintest conception of this world, except he who knows it.
In Jahresbericht der Deutschen Mathematiker Vereinigung, 32, 381. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 184.
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The truth is that the scientific value of Polar exploration is greatly exaggerated. The thing that takes men on such hazardous trips is really not any thirst for knowledge, but simply a yearning for adventure. ... A Polar explorer always talks grandly of sacrificing his fingers and toes to science. It is an amiable pretention, but there is no need to take it seriously.
'Penguin's Eggs'. From the American Mercury (Sep 1930), 123-24. Reprinted in A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 166.
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The world was full of locked doors, and he had to get his hand on every key.
Ender's Shadow (1999)
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Theory provides the maps that turn an uncoordinated set of experiments or computer simulations into a cumulative exploration.
…...
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There is no kind of material, no body, and no thing that can be produced or conceived of, which is not made up of elementary particles; and nature does not admit of a truthful exploration in accordance with the doctrines of the physicists without an accurate demonstration of the primary causes of things, showing how and why they are as they are.
Vitruvius
In De Architectura, Book 2, Chap 1, Sec. 9. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 41.
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There ought not to be anything in the whole universe that man can't poke his nose into—that’s the way we’re built and I assume that there's some reason for that.
Methuselah's Children, revised (1958). In The Past Through Tomorrow: 'Future History' Stories (1967), 666.
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They had neither compass, nor astronomical instruments, nor any of the appliances of our time for finding their position at sea; they could only sail by the sun, moon, and stars, and it seems incomprehensible how for days and weeks, when these were invisible, they were able to find their course through fog and bad weather; but they found it, and in the open craft of the Norwegian Vikings, with their square sails, fared north and west over the whole ocean, from Novaya Zemlya and Spitsbergen to Greenland, Baffin Bay, Newfoundland, and North America.
In northern mists: Arctic exploration in early times - Volume 1 - Page 248 https://books.google.com/books?id=I1ugAAAAMAAJ Fridtjof Nansen - 1911
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This [disaster] is a day we have managed to avoid for a quarter of a century. We’ve talked about it before and speculated about it, and it finally has occurred. We hoped we could push this day back forever.
Comment on the explosion of Space Shuttle Challenger and the loss of the lives of all seven crew. Reported in New York Times (29 Jan 1986), A7.
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This great pressure of a people always moving to new frontiers, in search of new lands, new power, the full freedom of a virgin world, has ruled our course and formed our policies like a Fate.
From Address (26 Dec 1901) delivered on the 125th anniversary of the battle of Trenton, published in 'The Ideals of America', The Atlantic (1902), 90, No. 542, 726.
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This has been far more than three men on a mission to the Moon; more still than the efforts of a government and industry team; more, even, than the efforts of one nation. We feel this stands as a symbol of the insatiable curiosity of all mankind to explore the unknown.
…...
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This is in a real sense the capstone of the initial missions to explore the planets. Pluto, its moons and this part of the solar system are such mysteries that New Horizons will rewrite all of the textbooks.
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This is our fifth White House Science Fair. And every year, I walk out smarter than I walked in, because … these young scientists and engineers teach us something beyond the specific topics that they’re exploring. They teach us how to question assumptions; to wonder why something is the way it is, and how we can make it better. And they remind us that there’s always something more to learn, and to try, and to discover, and to imagine—and that it’s never too early, or too late to create or discover something new.
From remarks at the fifth White House Science Fair, in Press Release (23 Mar 2015).
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Those whose lives are so filled with the romance of discovery, whose years are a holiday of exploration, … their work itself is adequate reward, they have more happiness already than their share.
A.V. Hill
In speech at Nobel Banquet, Stockholm (10 Dec 1923). Collected in Carl Gustaf Santesson (ed.), Les Prix Nobel en 1921-1922 (1923).
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Tis Man's to explore up and down, inch by inch, with the taper his reason.
'Apollo and the Fates', The Complete Poetic and Dramatic Works of Robert Browning (1895), 951.
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Today there remain but a few small areas on the world’s map unmarked by explorers’ trails. Human courage and endurance have conquered the Poles; the secrets of the tropical jungles have been revealed. The highest mountains of the earth have heard the voice of man. But this does not mean that the youth of the future has no new worlds to vanquish. It means only that the explorer must change his methods.
On the Trail of Ancient Man (1926), 5.
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Train yourselves. Don’t wait to be fed knowledge out of a book. Get out and seek it. Make explorations. Do your own research work. Train your hands and your mind. Become curious. Invent your own problems and solve them. You can see things going on all about you. Inquire into them. Seek out answers to your own questions. There are many phenomena going on in nature the explanation of which cannot be found in books. Find out why these phenomena take place. Information a boy gets by himself is enormously more valuable than that which is taught to him in school.
In 'Dr. Irving Langmuir', Boys' Life (Jul 1941), 12.
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True, no one can absolutely control the direction of his life; but each person can certainly influence it. The armchair explorers who complain that they never got their “one lucky shot” were never really infected by the incurable drive to explore. Those who have the bug—go.
In Jacques Cousteau and Susan Schiefelbein, The Human, the Orchid, and the Octopus: Exploring and Conserving Our Natural World (2007), 32.
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Twenty years from now you will be more disappointed by the things you didn’t do than by the ones you did. So throw off the bowlines, Sail away from the safe harbor. Catch the trade winds in your sails. Explore. Dream. Discover.
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Two roads diverged in a wood, and I
I took the one less traveled by,
And that has made all the difference.
In poem, 'The Road Not Taken', Mountain Interval (1916), 9.
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We are impressed and even daunted by the immense Universe to be explored. “What we know is a point to what we do not know.”
In Emerson’s Complete Works: Volume 1, Nature, Addresses and Lectures (1855, 1889), 45.
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We have an unknown distance yet to run, an unknown river to explore. What falls there are, we know not; what rocks beset the channel, we know not; what walls ride over the river, we know not. Ah, well! we may conjecture many things. The men talk as cheerfully as ever; jests are bandied about freely this morning; but to me the cheer is somber and the jests are ghastly.
In Canyons of the Colorado (1895), 247.
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We may discover resources on the moon or Mars that will boggle the imagination, that will test our limits to dream. And the fascination generated by further exploration will inspire our young people to study math, and science, and engineering and create a new generation of innovators and pioneers.
Speech, NASA Headquarters (14 Jan 2004). In Office of the Federal Register (U.S.) Staff (eds.), Public Papers of the Presidents of the United States, George W. Bush (2007), 58-59.
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We must go beyond textbooks, go out into the bypaths and untrodden depths of the wilderness and travel and explore and tell the world the glories of our journey.
John Hope
From speech (late spring semester 1896), delivered in Nashville, Tennessee, 'The Need of a Liberal Education for Us, and That, Too, in the South', excerpted in Ridgely Torrence, The Story of John Hope (1948), 116. [Note: The quote is often seen misattributed to John Hope Franklin.]
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We must somehow keep the dreams of space exploration alive, for in the long run they will prove to be of far more importance to the human race than the attainment of material benefits. Like Darwin, we have set sail upon an ocean: the cosmic sea of the Universe. There can be no turning back. To do so could well prove to be a guarantee of extinction. When a nation, or a race or a planet turns its back on the future, to concentrate on the present, it cannot see what lies ahead. It can neither plan nor prepare for the future, and thus discards the vital opportunity for determining its evolutionary heritage and perhaps its survival.
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We need to explore the possibility that homosexual bonding may be a biological mechanism.
In Pamela Weintraub (ed.), 'E. O. Wilson', The Omni Interviews (1984), 225.
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We shall not cease from exploration
And the end of all our exploring
Will be to arrive where we started
And know the place for the first time.
This was a favorite quotation of John Bahcall, who used it in his presentation at the Neutrino 2000 conference.
Poem, 'Little Gidding,' (1942). Collected in Four Quartets (1943), Pt. 5, 39.
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We should be most careful about retreating from the specific challenge of our age. We should be reluctant to turn our back upon the frontier of this epoch… We cannot be indifferent to space, because the grand slow march of our intelligence has brought us, in our generation, to a point from which we can explore and understand and utilize it. To turn back now would be to deny our history, our capabilities.
At a 1979 U.S. Senate hearing. As quoted in House Congressional Record (21 Jun 1991), 13874. Also quoted in James E. Oberg, Mission to Mars: Plans and Concepts for the First Manned Landing (2017), 174.
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We should have positive expectations of what is in the universe, not fears and dreads. We are made with the realization that we’re not Earthbound, and that our acceptance of the universe offers us room to explore and extend outward. It’s like being in a dark room and imagining all sorts of terrors. But when we turn on the light – technology - suddenly it’s just a room where we can stretch out and explore. If the resources here on Earth are limited, they are not limited in the universe. We are not constrained by the limitations of our planet. As children have to leave the security of family and home life to insure growth into mature adults, so also must humankind leave the security and familiarity of Earth to reach maturity and obtain the highest attainment possible for the human race.
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We want to explore. We’re curious people. Look back over history, people have put their lives at stake to go out and explore... We believe in what we’re doing. Now it’s time to go.
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Well, there’s no doubt about the fact that, that higher energy prices lead to greater conservation, greater energy efficiency, and they also, of course, play a useful role on the supply side. They encourage more exploration, and they make non-conventional fuels more attractive in the marketplace. So it’s not entirely without a silver lining.
In transcript, 'Treasury Secretary Snow Optimistic on Economy', PBS Newshour (23 Mar 2005), on pbs.org website. Quoted in Gene Beck, 'Production Tax Credits', Grid Parity: The Art of Financing Renewable Energy Projects in the U.S. (2014).
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Whales, which use canyons like the Hudson [Canyon], may soon be harassed by fossil fuel exploration.
In 'Ocean Oases: Protecting Canyons & Seamounts of the Atlantic Coast', The Huffington Post (8 Jun 2011).
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What the scientists have always found by physical experiment was an a priori orderliness of nature, or Universe always operating at an elegance level that made the discovering scientist’s working hypotheses seem crude by comparison. The discovered reality made the scientists’ exploratory work seem relatively disorderly.
As quoted by L.L. Larison Cudmore in The Center of Life: A Natural History of the Cell (1977), xi.
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What was really great about 'Star Trek' when I was growing up as a little girl is not only did they have Lt. Uhura played by Nichelle Nichols as a technical officer—she was African. ... At the same time, they had this crew that was composed of people from all around the world and they were working together to learn more about the universe. ... So that helped to fuel my whole idea that I could be involved in space exploration as well as in the sciences.
As quoted in 'Then & Now: Dr. Mae Jemison' (19 Jun 2005) on CNN web site.
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When I first ventured into the Gulf of Mexico in the 1950s, the sea appeared to be a blue infinity too large, too wild to be harmed by anything that people could do. I explored powder white beaches, dense marshes, mangrove forests, and miles of sea grass meadows alive with pink sea urchins, tiny shrimps, and seahorses half the size of my little finger. … Then, in mere decades, not millennia, the blue wilderness of my childhood disappeared: biologic change in the space of a lifetime.
From 'My Blue Wilderness', National Geographic Magazine (Oct 2010), 76.
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When I'm asked about the relevance to Black people of what I do, I take that as an affront. It presupposes that Black people have never been involved in exploring the heavens, but this is not so. Ancient African empires - Mali, Songhai, Egypt - had scientists, astronomers. The fact is that space and its resources belong to all of us, not to any one group.
In Current Biography Yearbook (1993), Vol. 54, 280.
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When my parents moved to Washington with me as a 9-year-old, when my father had a temporary job in the government, I found myself five blocks from the National Zoo and just beyond Rock Creek Park. And so while I was going through the end of grammar school, I proceeded to spend all of my time in that zoo and then exploring Rock Creek Park. And I became then and there a lifetime professional scientific naturalist…. Seeing people who are actually engaged and studying it and treasuring it and making a lot of it was just enough to make me want to study any subject so that I could be like one of them.
From interview with National Geographic, in Andrew Revkin, 'Conservation Legend Has Big Plans For Future', on nationalgeographic.com website.
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When we think how narrow and devious this path of nature is, how dimly we can trace it, for all our lamps of science, and how from the darkness which girds it round great and terrible possibilities loom ever shadowly upwards, it is a bold and a confident man who will put a limit to the strange by-oaths into which the human spirit may wander.
Lot No. 249 (1892)
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While there is still much to learn and discover through space exploration, we also need to pay attention to our unexplored world here on earth. Our next big leap into the unknown can be every bit as exciting and bold as our pioneering work in space. It possesses the same “wow” factor: alien worlds, dazzling technological feats and the mystery of the unknown.
In 'Why Exploring the Ocean is Mankind’s Next Giant Leap', contributed to CNN 'Lightyears Blog' (13 Mar 2012)
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Why had we come to the moon?
The thing presented itself to me as a perplexing problem. What is this spirit in man that urges him for ever to depart from happiness and security, to toil, to place himself in danger, to risk an even a reasonable certainty of death? It dawned upon me that there in the moon as a thing I ought always to have known, that man is not made to go about safe and comfortable and well fed and amused. ... against his interest, against his happiness, he is constantly being driven to do unreasonable things. Some force not himself impels him, and he must go.
The First Men in the Moon (1901)
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Why we love science. It’s more than a school subject, or the periodic table, or the properties of waves. It is an approach to the world, a critical way to understand and explore and engage with the world, and then have the capacity to change that world, and to share this accumulated knowledge. It’s a mindset that says we that can use reason and logic and honest inquiry to reach new conclusions and solve big problems.
From remarks at the fifth White House Science Fair, in Press Release (23 Mar 2015).
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With the experience and knowledge gained on the moon, we will then be ready to take the next steps of space exploration: human missions to Mars and to worlds beyond.
Speech, NASA Headquarters (14 Jan 2004). In Office of the Federal Register (U.S.) Staff (eds.), Public Papers of the Presidents of the United States, George W. Bush (2007), 58.
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You cannot see the Grand Canyon in one view, as if it were a changeless spectacle from which a curtain might be lifted, but to see it you have to toil from month to month through its labyrinths. It is a region more difficult to traverse than the Alps or the Himalayas, but if strength and courage are sufficient for the task, by a year’s toil a concept of sublimity can be obtained never again to be equaled or the hither side of Paradise.
In Canyons of the Colorado (1895), 397.
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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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Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
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Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
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Bible
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Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
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Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
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Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
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Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
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- 30 -
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Richard Feynman
James Hutton
Alexander Fleming
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Benjamin Franklin
Robert Oppenheimer
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Charles Kettering
- 20 -
Carl Sagan
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Francis Bacon
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- 10 -
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