The document contains a collection of quotes related to mathematics from various famous mathematicians, philosophers, and others. Some of the quotes discuss the beauty and importance of mathematics, such as Plato stating that "Numbers are the highest degree of knowledge" and Proclus stating "Wherever there are numbers, there is beauty." Other quotes discuss teaching mathematics, such as Godwin stating "A good teacher is one-fourth preparation and three-fourths theater" and Joyce stating "We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors." The document also contains some humorous math-related quotes.
4. "After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way.” -- Isaac Asimov
19. "We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors." -- Bruce Joyce
21. "All the effects of nature are only mathematical results of a small number of immutable laws." -- La Place
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23. "It is impossible to be a mathematician without being a poet in soul." -- Sophia Kovalevskaya
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25. "It is easier to square a circle than to get round a mathematician." -- de Morgan
26. "There is no branch of mathematics, however abstract, which may not someday be applied to the phenomena of the real world." -- Nicolai Lobachevsky
30. "Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world." -- Alfred North Whitehead
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32. "The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful." -- Henri Poincare
39. "The pursuit of mathematics is a divine madness of the human spirit." -- Alfred North Whitehead
40. "There are no solved problems; there are only problems that are more or less solved." -- Henri Poincare
41. "I'm sorry to say that the subject I most disliked was mathematics. I have thought about it. I think the reason was that mathematics leaves no room for argument. If you made a mistake, that was all there was to it." -- Malcolm X
42. "He who can properly define and divide is to be considered a god.” -- Plato
43. "The science of Pure Mathematics, in its modern developments, may claim to be the most original creation of the human spirit." -- Alfred North Whitehead
50. "The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal." -- William James
51. "I was x years old in the year x^2.” -- Augustus De Morgan (when asked about his age)