The Mathematical Experience |
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Page 78
... physical , biological , social , psycho- logical or conceptual entity , perhaps even another mathe- matical model ... physical world ( 2 ) to influence further experimentation or observation ( 3 ) to foster conceptual progress and under ...
... physical , biological , social , psycho- logical or conceptual entity , perhaps even another mathe- matical model ... physical world ( 2 ) to influence further experimentation or observation ( 3 ) to foster conceptual progress and under ...
Page 159
... physical objects . He tends to forget the extent to which the straight lines that are ob- served are there because we have invented and built them . In the course of human physical activity , the straight line enters the human mind ...
... physical objects . He tends to forget the extent to which the straight lines that are ob- served are there because we have invented and built them . In the course of human physical activity , the straight line enters the human mind ...
Page 319
... physical problems . When a formula is given a physical interpretation , it acquires a meaning , and may be true or false . But this truth or falsity has to do with the par- ticular physical interpretation . As a purely mathematical ...
... physical problems . When a formula is given a physical interpretation , it acquires a meaning , and may be true or false . But this truth or falsity has to do with the par- ticular physical interpretation . As a purely mathematical ...
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