“I presume that few who have paid any attention to the history of the Mathematical Analysis, will doubt that it has been developed in a certain order, or that that order has been, to a great extent, necessary -- being determined, either by steps of logical deduction, or by the successive introduction of new ideas and conceptions, when the time for their evolution had arrived.”

— George Boole

Source: 1850s, A treatise on differential equations (1859), p. v; cited in: Quotations by George Boole http://www-history.mcs.st-and.ac.uk/Quotations/Boole.html, MacTutor History of Mathematics, August 2010.

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George Boole39

English mathematician, philosopher and logician 1815–1864

George Frederick James Temple (1901–1992) British mathematician

100 Years of Mathematics: a Personal Viewpoint (1981)

“Every step in human progress, from the first feeble stirrings in the abyss of time, has been opposed by the great majority of men. Every valuable thing that has been added to the store of man's possessions has been derided by them when it was new, and destroyed by them when they had power. They have fought every new truth ever heard of, and they have killed every truth-seeker who got into their hands.”

H.L. Mencken (1880–1956) American journalist and writer

Homo Neanderthalensis Baltimore Sun (June 29th, 1925), The Impossible Mencken
1920s

“So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

Source: 1910s, Introduction to Mathematical Philosophy (1919), Ch. 18: Mathematics and Logic

“So intimate is the union between Mathematics and Physics that probably by far the larger part of the accessions to our mathematical knowledge have been obtained by the efforts of mathematicians to solve the problems set to them by experiment, and to create for each successive class phenomena a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature. Sometimes the mathematician has been before the physicist, and it has happened that when some great and new question has occurred to the experimentalist or the observer, he has found in the armory of the mathematician the weapons which he needed ready made to his hand. But much oftener, the questions proposed by the physicist have transcended the utmost powers of the mathematics of the time, and a fresh mathematical creation has been needed to supply the logical instrument requisite to interpret the new enigma.”

Henry John Stephen Smith (1826–1883) mathematician

As quoted in The Century: A Popular Quarterly (1874) ed. Richard Watson Gilder, Vol. 7, pp. 508-509, https://books.google.com/books?id=ceYGAQAAIAAJ&pg=PA508 "Relations of Mathematics to Physics". Earlier quote without citation in Nature, Volume 8 (1873), page 450. <br class="br">Also quoted partially in Michael Grossman and Robert Katz, Calculus http://babel.hathitrust.org/cgi/mb?a=listis;c=216746186|Non-Newtonian (1972) p. iv. ISBN 0912938013.

“The American dream that has lured tens of millions of all nations to our shores in the past century has not been a dream of material plenty, though that has doubtlessly counted heavily. It has been a dream of being able to grow to fullest development as a man and woman, unhampered by the barriers which had slowly been erected in the older civilizations, unrepressed by social orders which had developed for the benefit of classes rather than for the simple human being of any and every class.”

James Truslow Adams (1878–1949) American writer and historian

The Epic of America (2nd ed., Greenwood Press, 1931), p. 405

“If I have had any success in mathematical physics, it is, I think, because I have been able to dodge mathematical difficulties.”

Josiah Willard Gibbs (1839–1903) physicist

Quoted by C. S. Hastings in "Biographical Memoir of Josiah Willard Gibbs 1839-1903," National Academy of Sciences Biographical Memoirs, vol. VI (Washington, D.C.: National Academy of Sciences, 1909), p. 390. Complete memoir http://books.nap.edu/html/biomems/jgibbs.pdf <br class="br">Attributed

“Tektology is not something principally new; it is not a leap in scientific evolution, but a necessary conclusion from the past, the necessary continuation of what has been done and is being done by men in their practice and theory. This is in part a justification for my boldness … if any justification is necessary.”

Alexander Bogdanov (1873–1928) Physician, philosopher, writer

Source: Essays in tektology, 1980, p. xiv

“I'm a critic. I think the administration has really undermined America's power and reputation and that Iraq may go down in history as the greatest disaster in American foreign policy, which means that I think it's worse than Vietnam in its unintended consequences and for our reputation. This president, because his administration is imposing democracy, which is an oxymoron, has, I think, hurt the concept. It is not just that the administration has been unilateral but that it has been unidimensional. It has paid attention primarily to one part of the world, without enough attention being paid to other parts.”

Madeleine K. Albright (1937–2022) Former U.S. Secretary of State

When asked what the George W. Bush administration's legacy in foreign affairs would be, interview http://www.usnews.com/news/politics/articles/2008/01/02/qa-madeleine-albright with Thomas Omestad, U.S. News & World Report (January 2, 2008) <br class="br">2000s

“Time has too much credit," said Bridget. "I never agree with the compliments paid to it. It is not a great healer. It is an indifferent and perfunctory one. Sometimes it does not heal at all. And sometimes when it seems to, no healing has been necessary.”

Ivy Compton-Burnett (1884–1969) English writer

Darkness and Day (London: Victor Gollancz, [1951] 1974) p. 216.

“I cannot see why it is necessary that every deduction from algebra should be bound to certain conventions incident to an earlier stage of mathematical learning, even supposing them to have been consistently used up to the point in question. I should not care if any one thought this treatise unalgebraical, but should only ask whether the premises were admissible and the conclusions logical.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

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The Differential and Integral Calculus (1836)

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