The Mathematical Experience |
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Page 82
... theorems such as the mean value theorem or the fixed point theorem or the Hahn- Banach theorem . To some extent this is arbitrary in the way that the Chicago Airport is an arbitrary transfer point for an air passenger from Providence ...
... theorems such as the mean value theorem or the fixed point theorem or the Hahn- Banach theorem . To some extent this is arbitrary in the way that the Chicago Airport is an arbitrary transfer point for an air passenger from Providence ...
Page 187
... Theorem : A Case Study . W E PRESENT HERE highlights in the history of a simple theorem of arithmetic that has been known for at least 2000 years . We shall emphasize the changing nature over the mil- lenia of the statement of the ...
... Theorem : A Case Study . W E PRESENT HERE highlights in the history of a simple theorem of arithmetic that has been known for at least 2000 years . We shall emphasize the changing nature over the mil- lenia of the statement of the ...
Page 249
... theorem first proved by the Russian logician Anatoli Malcev and then generalized by Leon A. Henkin of the University of California at Berkeley . This is the " compactness " theorem . It is related to the famous " completeness " theorem ...
... theorem first proved by the Russian logician Anatoli Malcev and then generalized by Leon A. Henkin of the University of California at Berkeley . This is the " compactness " theorem . It is related to the famous " completeness " theorem ...
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 |
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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