The Mathematical Experience |
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Page 40
... mathematical proof ? Of course not ! The less you know , the better . That stuff is all abstract nonsense anyway . Student : Then really what is a proof ? I.M .: I.M .: Well , it's an argument that convinces someone who knows the ...
... mathematical proof ? Of course not ! The less you know , the better . That stuff is all abstract nonsense anyway . Student : Then really what is a proof ? I.M .: I.M .: Well , it's an argument that convinces someone who knows the ...
Page 48
... mathematical proof ? Professor Taylor said that his papers rarely contain formal proofs of a sort that would satisfy ... mathematical reasoning or deduction . Truth in mathematics , he said , is reasoning that leads to correct physical ...
... mathematical proof ? Professor Taylor said that his papers rarely contain formal proofs of a sort that would satisfy ... mathematical reasoning or deduction . Truth in mathematics , he said , is reasoning that leads to correct physical ...
Page 147
Philip J. Davis, Reuben Hersh. Proof HE ASSERTION has been made that mathe- matics is uniquely characterized by something known as " proof . " The first proof in the history of mathematics is said to have been given by Thales of Miletus ...
Philip J. Davis, Reuben Hersh. Proof HE ASSERTION has been made that mathe- matics is uniquely characterized by something known as " proof . " The first proof in the history of mathematics is said to have been given by Thales of Miletus ...
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