The Mathematical Experience |
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Page 81
... pure . " Thus , if the algebraic theory of ideals is used in a discussion of Fermat's Last Theorem , then we are talk- ing about a pure aspect or a pure application . If , on the other hand , ideal theory finds application to telephone ...
... pure . " Thus , if the algebraic theory of ideals is used in a discussion of Fermat's Last Theorem , then we are talk- ing about a pure aspect or a pure application . If , on the other hand , ideal theory finds application to telephone ...
Page 85
... pure mind with little or no assistance from the outer world , and that it need not give anything back to the outer world . Current terminology distinguishes between " pure " and " applied " mathematics and there is a pervasive unspoken ...
... pure mind with little or no assistance from the outer world , and that it need not give anything back to the outer world . Current terminology distinguishes between " pure " and " applied " mathematics and there is a pervasive unspoken ...
Page 151
... pure ” interests , consists entirely of definition , theorem , proof , definition , theorem , proof , in solemn and unrelieved concatenation . Why is this ? If , as claimed , proof is valida- tion and certification , then one might ...
... pure ” interests , consists entirely of definition , theorem , proof , definition , theorem , proof , in solemn and unrelieved concatenation . Why is this ? If , as claimed , proof is valida- tion and certification , then one might ...
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