Practice-Final-2018.pdf - Math 338 History and Philosophy...

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Math 338: History and Philosophy of Mathematics Practice final exam 1. Fill in the blanks : a) The Hindu mathematicians were responsible for introducing place values and the number zero. b) The Babylonians used base 60 arithmetic. c) Thales was the first to emphasize the importance of proof d) Euclid wrote five axioms for geometry e) Apollonius wrote the classic book “ Conics ” in 200 BC f) A conic section with eccentricity 1.0001 is hyperbola g) Fermat thought the formula 2^(2^n) always gave a prime number. h) Descartes unified geometry and algebra by inventing graphs i) An integral is a sum of infinitely many infinitesimals, while a derivative is a quotient of two infinitesimals. j) Gauss, Lobachevsky, and Bolyai discovered ______. k) A set with 0 א elements is called countably infinite. l) Frege and Russell tried to base all of mathematics on _______. m) G. H. Hardy’s wrote “There is no permanent p

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