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Who said: “God does not care about our mathematical difficulties. He integrates empirically.”
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Home > Category Index for Science Quotations > Category Index D > Category: Defend

Defend Quotes (32 quotes)

[Martin Gardner is] the single brightest beacon defending rationality and good science against the mysticism and anti-intellectualism that surround us.
As quoted in Kendrick Frazier, 'A Mind at Play: An Interview with Martin Gardner', Skeptical Inquirer (Mar/Apr 1998), 22, No. 2, 36.
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[Walter] Baade, like all scientists of substance, had a set view of how things were put together, to be sure a view to be always challenged by the scientist himself, but defended as well against all less informed mortals who objected without simon-pure reasons.
From Owen Gingerich in Physics Today (1994), 47, No.12, 34-40. As quoted and cited in Donald Lynden-Bell and François Schweizer, 'Allan Rex Sandage: 18 June 1926—13 November 2010', Biographical Memoirs of Fellows of the Royal Society (2012), Vol. 58, 251.
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A work of genius is something like the pie in the nursery song, in which the four and twenty blackbirds are baked. When the pie is opened, the birds begin to sing. Hereupon three fourths of the company run away in a fright; and then after a time, feeling ashamed, they would fain excuse themselves by declaring, the pie stank so, they could not sit near it. Those who stay behind, the men of taste and epicures, say one to another, We came here to eat. What business have birds, after they have been baked, to be alive and singing? This will never do. We must put a stop to so dangerous an innovation: for who will send a pie to an oven, if the birds come to life there? We must stand up to defend the rights of all the ovens in England. Let us have dead birds..dead birds for our money. So each sticks his fork into a bird, and hacks and mangles it a while, and then holds it up and cries, Who will dare assert that there is any music in this bird’s song?
Co-author with his brother Augustus William Hare Guesses At Truth, By Two Brothers: Second Edition: With Large Additions (1848), Second Series, 86. (The volume is introduced as “more than three fourths new.” This quote is identified as by Julius; Augustus had died in 1833.)
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Any frontal attack on ignorance is bound to fail because the masses are always ready to defend their most precious possession: their ignorance.
Quote appears in Henry Wysham Lanier, The Golden Book Magazine (Feb 1933), 17, 10.
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Archimedes possessed so high a spirit, so profound a soul, and such treasures of highly scientific knowledge, that though these inventions [used to defend Syracuse against the Romans] had now obtained him the renown of more than human sagacity, he yet would not deign to leave behind him any commentary or writing on such subjects; but, repudiating as sordid and ignoble the whole trade of engineering, and every sort of art that lends itself to mere use and profit, he placed his whole affection and ambition in those purer speculations where there can be no reference to the vulgar needs of life; studies, the superiority of which to all others is unquestioned, and in which the only doubt can be whether the beauty and grandeur of the subjects examined, or the precision and cogency of the methods and means of proof, most deserve our admiration.
Plutarch
In John Dryden (trans.), Life of Marcellus.
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Are the worst enemies of society those who attack it or those who do not even give themselves the trouble of defending it?
From original French, “Les pires ennemis de la société sont-ils ceux qui l'attaquent ou ceux qui ne se donnent même pas la peine de la défendre?” in Psychologie du Socialisme (1898), 61. English in The Psychology of Socialism (1899), 52.
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At first, the people talking about ecology were only defending the fishes, the animals, the forest, and the river. They didn’t realize that human beings were in the forest—and that these humans were the real ecologists, because they couldn’t live without the forest and the forest couldn’t be saved without them.
Quoted in Andrew Revkin, The Burning Season
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But, as we consider the totality of similarly broad and fundamental aspects of life, we cannot defend division by two as a natural principle of objective order. Indeed, the ‘stuff’ of the universe often strikes our senses as complex and shaded continua, admittedly with faster and slower moments, and bigger and smaller steps, along the way. Nature does not dictate dualities, trinities, quarterings, or any ‘objective’ basis for human taxonomies; most of our chosen schemes, and our designated numbers of categories, record human choices from a cornucopia of possibilities offered by natural variation from place to place, and permitted by the flexibility of our mental capacities. How many seasons (if we wish to divide by seasons at all) does a year contain? How many stages shall we recognize in a human life?
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Error is often nourished by good sense. … The meaning is, that the powers of the understanding are frequently employed to defend favourite errors; and that a man of sense frequently fortifies himself in his prejudices, or in false opinions which he received without examination, by such arguments as would not have occurred to a fool.
In Maxims, Characters, and Reflections, Critical, Satyrical and Moral (2nd ed., 1757), 9. The meaning is given as a footnote.
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Exercise in the most rigorous thinking that is possible will of its own accord strengthen the sense of truth and right, for each advance in the ability to distinguish between correct and false thoughts, each habit making for rigour in thought development will increase in the sound pupil the ability and the wish to ascertain what is right in life and to defend it.
In Anleitung zum mathematischen Unterricht in den höheren Schulen (1906), 28.
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Few intellectual tyrannies can be more recalcitrant than the truths that everybody knows and nearly no one can defend with any decent data (for who needs proof of anything so obvious). And few intellectual activities can be more salutary than attempts to find out whether these rocks of ages might crumble at the slightest tap of an informational hammer.
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For more than half a century, Martin Gardner has been the single brightest beacon defending rationality and good science against the mysticism and anti-intellectualism that surround us.
As quoted on the back cover of several of the books by Martin Gardner.
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Heaven defend me from a busy doctor.
Welsh Proverb. In Henry Louis Mencken, A New Dictionary of Quotations (1942), 299.
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I am the most hesitating of men, the most fearful of committing myself when I lack evidence. But on the contrary, no consideration can keep me from defending what I hold as true when I can rely on solid scientific proof.
As quoted in René J. Dubos, Louis Pasteur, Free Lance of Science (1960, 1986), 76.
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I do not think that, practically or morally, we can defend a policy of saving every distinctive local population of organisms. I can cite a good rationale for the preservation of species, for each species is a unique and separate natural object that, once lost, can never be reconstituted. But subspecies are distinctive local populations of species with broader geographic range. Subspecies are dynamic, interbreedable, and constantly changing: what then are we saving by declaring them all inviolate?
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I prefer rationalism to atheism. The question of God and other objects-of-faith are outside reason and play no part in rationalism, thus you don't have to waste your time in either attacking or defending.
In Isaac Asimov and Janet Asimov (ed.), It's Been a Good Life (2002), 21. Attribution uncertain. If you know an original print citation, please contact Webmaster.
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If I make a decision it is a possession. I take pride in it, I tend to defend it and not listen to those who question it. If I make sense, then this is more dynamic, and I listen and I can change it. A decision is something you polish. Sensemaking is a direction for the next period.
Personal communication (13 Jun 1995). In Karl E. Weick, 'The Experience of Theorizing: Sensemaking as Topic and Resource'. Quoted in Ken G. Smith (ed.) and Michael A. Hitt (ed), Great Minds in Management: the Theory of Process Development (2005), 398. Weick writes that Gleason explains how leadership needs 'sensemaking rather than decision making.' As a highly skilled wildland firefighter he would make sense of an unfolding fire, giving directives that are open to revision at any time, so they can be self-correcting, responsive, with a transparent rationale. By contrast, decision making eats up valuable time with polishing the decision to get it 'right' and defending it, and also encourages blind spots.
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If you defend a behavior by arguing that people are programmed directly for it, then how do you continue to defend it if your speculation is wrong, for the behavior then becomes unnatural and worthy of condemnation. Better to stick resolutely to a philosophical position on human liberty: what free adults do with each other in their own private lives is their business alone. It need not be vindicated–and must not be condemned–by genetic speculation.
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Mathematics, like dialectics, is an organ of the inner higher sense; in its execution it is an art like eloquence. Both alike care nothing for the content, to both nothing is of value but the form. It is immaterial to mathematics whether it computes pennies or guineas, to rhetoric whether it defends truth or error.
From Wilhelm Meislers Wanderjahre (1829), Zweites Buch. Collected in Goethe’s Werke (1830), Vol. 22, 252. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 36-37. The same book has another translation on p.202: “Mathematics, like dialectics, is an organ of the higher sense, in its execution it is an art like eloquence. To both nothing but the form is of value; neither cares anything for content. Whether mathematics considers pennies or guineas, whether rhetoric defends truth or error, is perfectly immaterial to either.” From the original German, “Die Mathematik ist, wie die Dialektik, ein Organ des inneren höheren Sinnes, in der Ausübung ist sie eine Kunst wie die Beredsamkeit. Für beide hat nichts Wert als die Form; der Gehalt ist ihnen gleichgültig. Ob die Mathematik Pfennige oder oder Guineen berechne, die Rhetorik Wahres oder Falsches verteidige, ist beiden vollkommen gleich.”
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One can argue that mathematics is a human activity deeply rooted in reality, and permanently returning to reality. From counting on one’s fingers to moon-landing to Google, we are doing mathematics in order to understand, create, and handle things, … Mathematicians are thus more or less responsible actors of human history, like Archimedes helping to defend Syracuse (and to save a local tyrant), Alan Turing cryptanalyzing Marshal Rommel’s intercepted military dispatches to Berlin, or John von Neumann suggesting high altitude detonation as an efficient tactic of bombing.
In 'Mathematical Knowledge: Internal, Social and Cultural Aspects', Mathematics As Metaphor: Selected Essays (2007), 3.
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Proper Experiments have always Truth to defend them; also Reasoning join’d with Mathematical Evidence, and founded upon Experiment, will hold equally true; but should it be true, without those Supports it must be altogether useless.
In Academical Lectures on the Theory of Physic (1751), Vol. 1. As quoted in Thomas Steele Hall, A Source Book in Animal Biology (1951), 485.
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The Earth was small, light blue, and so touchingly alone, our home that must be defended like a holy relic. The Earth was absolutely round. I believe I never knew what the word round meant until I saw Earth from space.
As quoted in Kevin W. Kelly, The Home Planet (1988), 24.
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The history of science should not be an instrument to defend any kind of social or philosophic theory; it should be used only for its own purpose, to illustrate impartially the working of reason against unreason, the gradual unfolding of truth, in all its forms, whether pleasant or unpleasant, useful of useless, welcome or unwelcome.
In A History of Science: Volume 1: Ancient Science Through the Golden Age of Greece (1952), xiv.
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The most heated defenders of a science, who cannot endure the slightest sneer at it, are commonly those who have not made very much progress in it and are secretly aware of this defect.
Aphorism 8 in Notebook F, as translated by R.J. Hollingdale in Aphorisms (1990), 82.
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There is no belief, however foolish, that will not gather its faithful adherents who will defend it to the death.
In The Stars in Their Courses? (1971), 36.
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This [Republican] political movement has patently demonstrated that it will not defend the integrity of science in any case in which science runs afoul of its core political constituencies. In so doing, it has ceded any right to govern a technologically advanced and sophisticated nation.
In 'Epilogue', The Republican War on Science (2005), 255.
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To illustrate the apparent contrast between statistics and truth … may I quote a remark I once overheard: “There are three kinds of lies: white lies, which are justifiable; common lies—these have no justification; and statistics.” Our meaning is similar when we say: “Anything can be proved by figures”; or, modifying a well-known quotation from Goethe, with numbers “all men may contend their charming systems to defend.”
In Probability, Statistics, and Truth (1939), 1.
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We depend upon science for prosperity for it supplies the new products and processes indispensable to our growing economy. We depend upon science for peace, for it supplies the weapons by which we defend the free world, and deter a reckless aggressor.
From Draft of Science Speech for Presidential Campaign (1960), held by the John F. Kennedy Presidential Library and Museum. Digital Identifier: JFKCAMP1960-0993-005.
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We may have to live with the failure to control atomic energy for the rest of our lives. If that is to be our lot, let us face it steadfastly with faith in the civilisation we defend. The acid test of the strength of our society is the self-discipline of its adherents.
As quoted in 'On This Day', The Times (1 Feb 2001), 21, reprinting the article 'United States to Develop Hydrogen Bomb' from The Times (1 Feb 1950), which in turn was quoting Baruch from 'International Control of Atomic Energy', Air Affairs (Spring 1950), 319.
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When you are criticizing the philosophy of an epoch do not chiefly direct your attention to these intellectual positions which its exponents feel it necessary to defend. There will be some fundamental assumption which adherents of all the various systems of the epoch unconsciously presuppose.
In Science and the Modern World (1925, 2011), 61. This idea can be seen summarized as “All epochs of thought have unconscious assumptions,” but this is not a quote found in these few words in Whitehouse’s writings.
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You have read my writings, and from them you have certainly understood which was the true and real motive that caused, under the lying mask of religion, this war against me that continually restrains and undercuts me in all directions, so that neither can help come to me from outside nor can I go forth to defend myself, there having been issued an express order to all Inquisitors that they should not allow any of my works to be reprinted which had been printed many years ago or grant permission to any new work that I would print. … a most rigorous and general order, I say, against all my works, omnia et edenda; so that it is left to me only to succumb in silence under the flood of attacks, exposures, derision, and insult coming from all sides.
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You who are scientists may have been told that you are, in part, responsible for the debacle of today … but I assure you that it is not the scientists … who are responsible. … Surely it is time for our republics … to use every knowledge, every science that we possess. … You and I … will act together to protect and defend by every means … our science, our culture, our American freedom and our civilization.
Address (10 May 1940) to American Scientific Congress in Washington. This was the day the Nazis invaded the Low Countries. As quoted in Robert Coughlan, 'Dr. Edward Teller’s Magnificent Obsession', Life (6 Sep 1954), 64.
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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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Carl Gauss
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- 90 -
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Charles Babbage
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- 80 -
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- 70 -
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- 60 -
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- 50 -
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- 40 -
Pierre Fermat
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- 30 -
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- 20 -
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- 10 -
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