The Mathematical Experience |
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Page 344
... philosophy , analytic philosophy tends to perpetuate identi- fication of the philosophy of mathematics with logic and the study of formal systems . From this standpoint , a problem of principal concern to the mathematician becomes ...
... philosophy , analytic philosophy tends to perpetuate identi- fication of the philosophy of mathematics with logic and the study of formal systems . From this standpoint , a problem of principal concern to the mathematician becomes ...
Page 345
Philip J. Davis, Reuben Hersh. Philosophy of Dubitability F OUNDATIONISM , i.e. , attempts to establish a basis for mathematical indubitability , has domi- nated the philosophy of mathematics in the twen- tieth century . A radically ...
Philip J. Davis, Reuben Hersh. Philosophy of Dubitability F OUNDATIONISM , i.e. , attempts to establish a basis for mathematical indubitability , has domi- nated the philosophy of mathematics in the twen- tieth century . A radically ...
Page 346
... philosopher and a follower of Popper's theory of scientific knowledge . He was a graduate in mathematics , physics , and philosophy at Debrecen ( 1944 ) , a survivor of the Nazis . whose mother and grandmother died at Auschwitz . ( He ...
... philosopher and a follower of Popper's theory of scientific knowledge . He was a graduate in mathematics , physics , and philosophy at Debrecen ( 1944 ) , a survivor of the Nazis . whose mother and grandmother died at Auschwitz . ( He ...
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