The Mathematical Experience |
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Page 80
... understand . We are Trotskyites . We want to take your course because it is completely useless . If we take it ... understand the proof of this impossibility , you had better understand such and such theorems of the theory of ideals ...
... understand . We are Trotskyites . We want to take your course because it is completely useless . If we take it ... understand the proof of this impossibility , you had better understand such and such theorems of the theory of ideals ...
Page 274
... understand them . " " Is there a mystic aspect to math ? " " Math is full of arcane symbols and this is an attraction . If one talks to a ' real ' mathematician , one sees he is bright . And he is prying open secrets . And because of ...
... understand them . " " Is there a mystic aspect to math ? " " Math is full of arcane symbols and this is an attraction . If one talks to a ' real ' mathematician , one sees he is bright . And he is prying open secrets . And because of ...
Page 368
... understand his mental universe of number and form . Perhaps this is what Dieudonné means when he calls realism ... understanding on our part . We believe , in other words , that a proof would be a way of understanding why the Rie- mann ...
... understand his mental universe of number and form . Perhaps this is what Dieudonné means when he calls realism ... understanding on our part . We believe , in other words , that a proof would be a way of understanding why the Rie- mann ...
Other editions - View all
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience: Study Edition Philip J. Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 1995 |
Common terms and phrases
abstract aesthetic algebra algorithmic analysis analytic answer applications argument arithmetic asserts axiom of choice Bibliography calculus called century circle complex conjecture construct continuum hypothesis course definition differential equations elements ematics Euclid Euclidean geometry Euler example existence experience fact figure finite formal language formalist formula Fourier Fourier series function Further Readings G. H. Hardy Hilbert human hypercube hypersquares idea ideal infinite set infinitesimal infinity integers intuition knowledge Lakatos logic mathe mathematical objects mathematical proof mathematicians matics means ment method natural numbers non-Euclidean geometry non-Riemannian nonstandard notion number theory parallel postulate philosophy of mathematics physical Platonism Platonist possible postulate prime number prime number theorem problem proof proved question real numbers reason restricted set theory result rigorous sense solution square statement straight line symbols theorem thing tion triangle true truth universe words zero