“ Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own in… Paul Lockhart
“ Turing attended Wittgenstein's lectures on the philosophy of mathematics in Cambridge in 1939 and disagreed strongly with a line of argument that Wittgenstein was pursuing which wanted to allow contra… John D. Barrow
“ Logic, it is often said, is the study of valid arguments. It is a systematic attempt to distinguish valid arguments from invalid arguments. W.H. Newton-Smith
“ Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems—general and specific statements—… Christopher Zeeman
“ The Professor never really seemed to care whether we figured out the right answer to a problem. He preferred our wild, desperate guesses to silence, and he was even more delighted when those guesses l… Yōko Ogawa
“ . . . I still wouldn't be able to control myself around him, and I'm math geek enough to know that equation doesn't work out. Robin Brande
“ A goal of this book has been to tear down in some small part these barriers to understanding by attempting to shatter the “divinity of arithmetic,” through showing that even the methods, which we now… G. Arnell Williams
“ So what were your favorite subjects in school?""School?" He leaned back in his chair as though he needed the extra space to think about it. "Probably math. It always made sense. Unlike English, econom… Janette Rallison
“ No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. … Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-thr… G.H. Hardy
“ ... I succeeded at math, at least by the usual evaluation criteria: grades. Yet while I might have earned top marks in geometry and algebra, I was merely following memorized rules, plugging in numbers… Jennifer Ouellette
“ I don't see how it's doing society any good to have it's members walking around with vague memories of algebraic formulas and geometric diagrams, and clear memories of hating them. Paul Lockhart
“ The mathematical giant [Gauss], who from his lofty heights embraces in one view the stars and the abysses … Farkas Bolyai
“ One must acknowledge with cryptography no amount of violence will ever solve a math problem. Jacob Appelbaum
“ Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and simplicity in human thought. Edward Teller
“ Pure analysis puts at our disposal a multitude of procedures whose infallibility it guarantees; it opens to us a thousand different ways on which we can embark in all confidence; we are assured of mee… Henri Poincare
“ The philosophers make still another objection: "What you gain in rigour," they say, "you lose in objectivity. You can rise toward your logical ideal only by cutting the bonds which attach you to reali… Henri Poincare
“ As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra. Augustin-Louis Cauchy
“ Je me rends parfaitement compte du desagreable effet que produit sur la majorite de l'humanité, tout ce qui se rapporte, même au plus faible dègré, á des calculs ou raisonnements mathematiques.I am we… Hiram Stevens Maxim
“ Further, the same Arguments which explode the Notion of Luck, may, on the other side, be useful in some Cases to establish a due comparison between Chance and Design: We may imagine Chance and Design… Abraham de Moivre
