The Mathematical Experience |
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Page 113
... matics is the tool specially suited for dealing with abstract concepts of any kind . There is no limit to its power in this field . " But abstraction is ubiquitous . It is almost characteristic or synonymous with intelligence itself ...
... matics is the tool specially suited for dealing with abstract concepts of any kind . There is no limit to its power in this field . " But abstraction is ubiquitous . It is almost characteristic or synonymous with intelligence itself ...
Page 339
... matics in order to justify the mathematics of the infinite . This realism - of - the - finite with formalism - for - the - infinite is still advocated by some writers . But more often the forma- list doesn't bother with this distinction ...
... matics in order to justify the mathematics of the infinite . This realism - of - the - finite with formalism - for - the - infinite is still advocated by some writers . But more often the forma- list doesn't bother with this distinction ...
Page 434
... matics . 13 , 1-14 ( 1960 ) WILDER , RAYMOND L .: The Nature of Mathematical Proof . American Mathematical Monthly . 51 , 309–323 ( 1944 ) WILDER , RAYMOND L .: The Foundations of Mathematics . New York : John Wiley & Sons 1965 WILDER ...
... matics . 13 , 1-14 ( 1960 ) WILDER , RAYMOND L .: The Nature of Mathematical Proof . American Mathematical Monthly . 51 , 309–323 ( 1944 ) WILDER , RAYMOND L .: The Foundations of Mathematics . New York : John Wiley & Sons 1965 WILDER ...
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