If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
John von Neumann (1903-1957) Hungarian-American mathematician, physicist, inventor, polymath [János "Johann" Lajos Neumann]
Speech, Association for Computing Machinery inaugural conference, Columbia University, New York (15 Sep 1947)
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Von Neumann insisted that ENIAC's command language could encompass all mathematics, given how only a thousand words could handle most needs of life, and mathematics was, he insisted, simpler than life. When the audience laughed, he replied with this comment. Quoted in Franz L. Alt, "Archaeology of computers: Reminiscences, 1945-1947," Communications of the ACM, Vol 15, #7 (Jul 1972).
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Resolutions cannot nullify the truths of the multiplication table.
James A. Garfield (1831-1881) US President (1881), lawyer, lay preacher, educator
“The Currency,” Speech, House of Representatives (15 May 1868)
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A favorite phrase of Garfield's regarding the dangers of inflation, e.g., "I will not vote against the truths of the multiplication table" (Letter to Harmon Austin (4 Feb 1874)).
Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.
Francis Bacon (1561-1626) English philosopher, scientist, author, statesman
“Of Studies,” Essays, No. 50 (1625)
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It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Insofar as statements of mathematics refer to reality, they are uncertain, and insofar as they are certain, they do not refer to reality.
[Insofern sich die Sätze der Mathematik auf die Wirklichkeit beziehen, sind sie nicht sicher, und insofern sie sicher sind, beziehen sie sich nicht auf die Wirklichkeit.]
Albert Einstein (1879-1955) German-American physicist
“Geometry and Experience [Geometrie und Erfahrung],” lecture (27 Jan 1921)
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Sometimes given as "Insofar as the statements of geometry speak about reality, they are not certain, and in so far as they are certain, they do not speak about reality. [Sofern die Sätze der Geometrie streng gültig sind, beziehen sie sich nicht auf de Wirklichkeit; sofern sie sich auf dei Wirklichkeit beziehen, sind sie nicht streng gültig.]" -- this version was popularized by Karl Popper, but it was from a misquote by Morris Schlick.