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

Apology Quotes (8 quotes)

All talk about science purely for its practical and wealth-producing results is … idle. … Practical results will follow right enough. No real knowledge is sterile. … With this faith in the ultimate usefulness of all real knowledge a man may proceed to devote himself to a study of first causes without apology, and without hope of immediate return.
A.V. Hill
Quoted in Larry R. Squire (ed.), The History of Neuroscience in Autobiography (1996), Vol. 1, 350-351. The above is a highlight excerpted from a longer quote beginning “To prove to an indignant questioner ….” in this same collection for A. V. Hill.
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As a reminder to the prospective observer of extraterrestrial radio noise, I shall conclude by offering the following motto for radio astronomers (with apologies to Gertrude Stein): Signals in the grass, alas!
From address to the 101st Meeting of the American Astronomical Society, Gainesville, Florida (27 Dec 1958). Printed in 'An Account of the Discovery of Jupiter as a Radio Source', The Astronomical Journal (Mar 1959), 64, No. 2, 39.
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I propose to put forward an apology for mathematics; and I may be told that it needs none, since there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy.
In A Mathematician's Apology (1940, 2012), 63-64.
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If, as I have reason to believe, I have disintegrated the nucleus of the atom, this is of greater significance than the war.
[Apology to the international anti-submarine committee for being absent from several meetings during World War I.]
(Jun 1919). Quoted in D. Wilson, Rutherford: Simple Genius (1983), 405, as cited in Laurie M. Brown, Abraham Pais, Brian Pippard, Twentieth Century Physics (1995), Vol. 1, 113.
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It may be observed of mathematicians that they only meddle with such things as are certain, passing by those that are doubtful and unknown. They profess not to know all things, neither do they affect to speak of all things. What they know to be true, and can make good by invincible arguments, that they publish and insert among their theorems. Of other things they are silent and pass no judgment at all, chusing [choosing] rather to acknowledge their ignorance, than affirm anything rashly. They affirm nothing among their arguments or assertions which is not most manifestly known and examined with utmost rigour, rejecting all probable conjectures and little witticisms. They submit nothing to authority, indulge no affection, detest subterfuges of words, and declare their sentiments, as in a Court of Judicature [Justice], without passion, without apology; knowing that their reasons, as Seneca testifies of them, are not brought to persuade, but to compel.
Mathematical Lectures (1734), 64.
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Modern technology
Owes ecology
An apology.
From Worse Verse (1969), as cited in Colin Jarman, The Book of Poisonous Quotes (1993), 237.
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The first thing the intellect does with an object is to class it along with something else. But any object that is infinitely important to us and awakens our devotion feels to us also as if it must be sui generis and unique. Probably a crab would be filled with a sense of personal outrage if it could hear us class it without ado or apology as a crustacean, and thus dispose of it. 'I am no such thing,' it would say; 'I am MYSELF, MYSELF alone.
The Varieties of Religious Experience: A Study in Human Nature (1902), 9.
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To prove to an indignant questioner on the spur of the moment that the work I do was useful seemed a thankless task and I gave it up. I turned to him with a smile and finished, “To tell you the truth we don’t do it because it is useful but because it’s amusing.” The answer was thought of and given in a moment: it came from deep down in my soul, and the results were as admirable from my point of view as unexpected. My audience was clearly on my side. Prolonged and hearty applause greeted my confession. My questioner retired shaking his head over my wickedness and the newspapers next day, with obvious approval, came out with headlines “Scientist Does It Because It’s Amusing!” And if that is not the best reason why a scientist should do his work, I want to know what is. Would it be any good to ask a mother what practical use her baby is? That, as I say, was the first evening I ever spent in the United States and from that moment I felt at home. I realised that all talk about science purely for its practical and wealth-producing results is as idle in this country as in England. Practical results will follow right enough. No real knowledge is sterile. The most useless investigation may prove to have the most startling practical importance: Wireless telegraphy might not yet have come if Clerk Maxwell had been drawn away from his obviously “useless” equations to do something of more practical importance. Large branches of chemistry would have remained obscure had Willard Gibbs not spent his time at mathematical calculations which only about two men of his generation could understand. With this faith in the ultimate usefulness of all real knowledge a man may proceed to devote himself to a study of first causes without apology, and without hope of immediate return.
A.V. Hill
From lecture to a scientific society in Philadelphia on “The Mechanism of the Muscle” given by invitation after he received a Nobel Prize for that work. The quote is Hill’s response to a post-talk audience question asking disapprovingly what practical use the speaker thought there was in his research. The above quoted answer, in brief, is—for the intellectual curiosity. As quoted about Hill by Bernard Katz in his own autobiographical chapter, 'Sir Bernard Katz', collected in Larry R. Squire (ed.), The History of Neuroscience in Autobiography (1996), Vol. 1, 350-351. Two excerpts from the above have been highlighted as standalone quotes here in this same quote collection for A. V. Hill. They begin “All talk about science…” and “The most useless investigation may prove…”.
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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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