The Mathematical Experience |
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Page iv
... experience . Bibliography : p . Includes index . 1. Mathematics - Philosophy . 2. Mathematics- History . 3. Mathematics - Study and teaching . I. Hersh , Reuben , 1927- II . Title . QA8.4.D37 510 ISBN 3-7643-3018 - X joint author . 80 ...
... experience . Bibliography : p . Includes index . 1. Mathematics - Philosophy . 2. Mathematics- History . 3. Mathematics - Study and teaching . I. Hersh , Reuben , 1927- II . Title . QA8.4.D37 510 ISBN 3-7643-3018 - X joint author . 80 ...
Page 194
... experience pool and the statement makes sense only to a very limited and specialized audi- ence . Even if we were , as the author of the statement suggests , to " translate to the language of congruences , " we run into some ...
... experience pool and the statement makes sense only to a very limited and specialized audi- ence . Even if we were , as the author of the statement suggests , to " translate to the language of congruences , " we run into some ...
Page 397
... experience of making correct conjectures which we are unable to prove . If our intuitive conjecture is the result of an unconscious calculation , then ( a ) either the un- conscious has a secret method of calculating which is better ...
... experience of making correct conjectures which we are unable to prove . If our intuitive conjecture is the result of an unconscious calculation , then ( a ) either the un- conscious has a secret method of calculating which is better ...
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