The Mathematical Experience |
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Page 91
... notion of a coin , repeatedly tossed , has become one of the fundamental schemata of mathe- matical experience , the paradigm of randomness , inde- pendence , and equiprobability . The probabilistic notions of expectation and risk also ...
... notion of a coin , repeatedly tossed , has become one of the fundamental schemata of mathe- matical experience , the paradigm of randomness , inde- pendence , and equiprobability . The probabilistic notions of expectation and risk also ...
Page 161
... notion , about which we have some reliable knowl- edge . However , our knowledge of this intuitive notion is by no means complete - neither in the sense of explicit knowledge , nor even in the sense of providing a basis from which to ...
... notion , about which we have some reliable knowl- edge . However , our knowledge of this intuitive notion is by no means complete - neither in the sense of explicit knowledge , nor even in the sense of providing a basis from which to ...
Page 393
... notion , and from which all meaningful mathematical notions must be constructed . The Platonist regards mathematical objects , not as things which we construct , but as things already existing , once and for all , in some ideal and ...
... notion , and from which all meaningful mathematical notions must be constructed . The Platonist regards mathematical objects , not as things which we construct , but as things already existing , once and for all , in some ideal and ...
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