The Mathematical Experience |
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Page 47
... look . He would be working in the dark . The theoretician needs the experimentalist to tell him what is going on in ... Looks at Mathematics.
... look . He would be working in the dark . The theoretician needs the experimentalist to tell him what is going on in ... Looks at Mathematics.
Page 286
... look around for an appropriate related problem Work backwards Work forwards Narrow the condition Widen the condition Seek a counterexample Guess and test Divide and conquer Change the conceptual mode Each of these heuristic principles ...
... look around for an appropriate related problem Work backwards Work forwards Narrow the condition Widen the condition Seek a counterexample Guess and test Divide and conquer Change the conceptual mode Each of these heuristic principles ...
Page 397
... look at mathematics in its historical devel- opment have to introduce a mysterious intuition to ac- count for the enormous gap between the account of math- ematics ( a game played by the rules ) and one's real experience of mathematics ...
... look at mathematics in its historical devel- opment have to introduce a mysterious intuition to ac- count for the enormous gap between the account of math- ematics ( a game played by the rules ) and one's real experience of mathematics ...
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