The Mathematical Experience |
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Page 35
... existence is unsuspected by all except a handful of his fellows . Indeed , if one who is not an initiate asks him ... existence as definite and objective as that of the Rock of Gibraltar or Halley's comet . In fact , the proof of the ...
... existence is unsuspected by all except a handful of his fellows . Indeed , if one who is not an initiate asks him ... existence as definite and objective as that of the Rock of Gibraltar or Halley's comet . In fact , the proof of the ...
Page 117
... existence and uniqueness theorems . " An existence theorem is one which asserts that , subject to certain restrictions set down a priori , there will be a solution to such and such a problem . This is never taken for granted in ...
... existence and uniqueness theorems . " An existence theorem is one which asserts that , subject to certain restrictions set down a priori , there will be a solution to such and such a problem . This is never taken for granted in ...
Page 143
... existence of the number in a different sense . Working within finitary mathematics and with just a few symbols , one may lay down definitions which lead ... existence is nonsense . If so , 143 Mathematical Objects and Structures ; Existence.
... existence of the number in a different sense . Working within finitary mathematics and with just a few symbols , one may lay down definitions which lead ... existence is nonsense . If so , 143 Mathematical Objects and Structures ; Existence.
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