The Mathematical Experience |
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Page 185
... answer can differ from the true but unknown answer . Barring blunders * ( that is , machine mal- functions , erroneous programming , and other human errors ) , errors will arise from the fact that continuous vari- ables have been made ...
... answer can differ from the true but unknown answer . Barring blunders * ( that is , machine mal- functions , erroneous programming , and other human errors ) , errors will arise from the fact that continuous vari- ables have been made ...
Page 186
... answer if f ( x ) is approximately zero ? Various cri- teria may lead to widely differing answers . Having obtained a reasonable answer to a problem , we may be interested in improving the answer . Can we obtain answers of increasing ...
... answer if f ( x ) is approximately zero ? Various cri- teria may lead to widely differing answers . Having obtained a reasonable answer to a problem , we may be interested in improving the answer . Can we obtain answers of increasing ...
Page 397
... answer is especially interesting to those of us who have the experience of making correct conjectures which we are unable to prove . If our intuitive conjecture is the result of an unconscious calculation , then ( a ) either the un ...
... answer is especially interesting to those of us who have the experience of making correct conjectures which we are unable to prove . If our intuitive conjecture is the result of an unconscious calculation , then ( a ) either the un ...
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