The Mathematical Experience |
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Page 37
... give people a better idea about what your work really involves . First of all , what is a hyper- square ? I hate to ... give me the real definition , can't you give me some idea of the general nature and purpose of your work ? I.M .: All ...
... give people a better idea about what your work really involves . First of all , what is a hyper- square ? I hate to ... give me the real definition , can't you give me some idea of the general nature and purpose of your work ? I.M .: All ...
Page 341
... give up the notion that either is true . It is enough if each is consistent . As a matter of fact , Euclidean and non - Euclidean geom- etry appear to conflict only if we believe in an objective physical space which obeys a single set ...
... give up the notion that either is true . It is enough if each is consistent . As a matter of fact , Euclidean and non - Euclidean geom- etry appear to conflict only if we believe in an objective physical space which obeys a single set ...
Page 370
... give the same essen- tial result . Instead of π , we could start with √2 , or any other familiar irrational number . All that is required is that ( 1 ) as with π , we have a definite calculating procedure ( “ al- gorithm " ) which gives ...
... give the same essen- tial result . Instead of π , we could start with √2 , or any other familiar irrational number . All that is required is that ( 1 ) as with π , we have a definite calculating procedure ( “ al- gorithm " ) which gives ...
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