The Mathematical Experience |
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Page 63
... whole civiliza- tion . Why did the small country of Hungary in the years since 1900 produce such a large number of first - rate math- ematicians ? Why have governments since 1940 supported mathematical research while prior to that date ...
... whole civiliza- tion . Why did the small country of Hungary in the years since 1900 produce such a large number of first - rate math- ematicians ? Why have governments since 1940 supported mathematical research while prior to that date ...
Page 142
... whole structure and might well have influenced scientific meth- odology ( e.g. , astronomy ) . An individual number , say three , was regarded as a whole structure , with mystic impli- cations derived therefrom . A mathematical object ...
... whole structure and might well have influenced scientific meth- odology ( e.g. , astronomy ) . An individual number , say three , was regarded as a whole structure , with mystic impli- cations derived therefrom . A mathematical object ...
Page 148
... whole angle DBA is equal to the whole angle FBC . [ C.N. 2 ] And , since DB is equal to BC , and FB to BA , the two sides AB , BD are equal to the two sides FB , BC respec- tively , and the angle ABD is equal to the angle FBC : there ...
... whole angle DBA is equal to the whole angle FBC . [ C.N. 2 ] And , since DB is equal to BC , and FB to BA , the two sides AB , BD are equal to the two sides FB , BC respec- tively , and the angle ABD is equal to the angle FBC : there ...
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