The Mathematical Experience |
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Page 33
... statement as a deduction and as application , but he might also have pondered the question of whether the statement is so true , so bound up with what is right in the universe , that God Almighty could not set it aside . Gauss knew that ...
... statement as a deduction and as application , but he might also have pondered the question of whether the statement is so true , so bound up with what is right in the universe , that God Almighty could not set it aside . Gauss knew that ...
Page 194
... 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 difficulties . Let us try to ...
... 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 difficulties . Let us try to ...
Page 248
... statement about a student at Central High corresponds to a true statement about a cer- tain two - inch square in the yearbook . Still , there are many two - inch squares in the yearbook that do not correspond to any student . M * is ...
... statement about a student at Central High corresponds to a true statement about a cer- tain two - inch square in the yearbook . Still , there are many two - inch squares in the yearbook that do not correspond to any student . M * is ...
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