The Mathematical Experience |
From inside the book
Results 1-3 of 86
Page 23
... mathe- matics ? What sort of meaning is conveyed by mathematical statements ? Thus , unavoidable problems of daily mathe- matical practice lead to fundamental questions of episte- mology and ontology , but most professionals have ...
... mathe- matics ? What sort of meaning is conveyed by mathematical statements ? Thus , unavoidable problems of daily mathe- matical practice lead to fundamental questions of episte- mology and ontology , but most professionals have ...
Page 139
... mathe- matics , it is necessary to conceive of mathematics as ex- pressed in a formal language . On this supposition , logi- cians have been able to create imposing theories about the properties of mathematical systems . However ...
... mathe- matics , it is necessary to conceive of mathematics as ex- pressed in a formal language . On this supposition , logi- cians have been able to create imposing theories about the properties of mathematical systems . However ...
Page 323
... mathe- maticians were overtly concerned with philosophical issues , and engaged in public controversy about them . To make sense out of what happened during that period , one should look at what went before and after . There are two ...
... mathe- maticians were overtly concerned with philosophical issues , and engaged in public controversy about them . To make sense out of what happened during that period , one should look at what went before and after . There are two ...
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