The Mathematical Experience |
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Page 49
... possible . Asked the same question for technology , he answered again that it would not be possible . He added that the mathematics of technology was per- haps more elementary and more completely studied than that of modern physics ...
... possible . Asked the same question for technology , he answered again that it would not be possible . He added that the mathematics of technology was per- haps more elementary and more completely studied than that of modern physics ...
Page 63
... possible to write easily and convinc- ingly of the cultural reasons for this or that . So , for exam- ple , it might be possible — and very worthwhile - to spell out the extramathematical , extratechnological reasons which have led in ...
... possible to write easily and convinc- ingly of the cultural reasons for this or that . So , for exam- ple , it might be possible — and very worthwhile - to spell out the extramathematical , extratechnological reasons which have led in ...
Page 161
... possible pictures . How do we know that ? The answer has to do with our actually sharing a definite intuitive notion , about which we have some reliable knowl- edge . However , our knowledge of this intuitive notion is by no means ...
... possible pictures . How do we know that ? The answer has to do with our actually sharing a definite intuitive notion , about which we have some reliable knowl- edge . However , our knowledge of this intuitive notion is by no means ...
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