The Mathematical Experience |
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Page 218
... less than two right angles , then the straight lines will meet if extended sufficiently on the side on which the sum of the angles is less than two right angles . In other words , referring to the figure , L1 L3 A B L2 if A + B < 180 ...
... less than two right angles , then the straight lines will meet if extended sufficiently on the side on which the sum of the angles is less than two right angles . In other words , referring to the figure , L1 L3 A B L2 if A + B < 180 ...
Page 240
... less than half of A. But then the area and the semiperimeter of the circle must differ by less than A , which contradicts the supposition from which we started . Hence the supposition is impossible and A must be zero , as we wished to ...
... less than half of A. But then the area and the semiperimeter of the circle must differ by less than A , which contradicts the supposition from which we started . Hence the supposition is impossible and A must be zero , as we wished to ...
Page 276
... less as I presented it in class , in the form which led to the crisis . It was modelled on the one found in Chinn ... less and less area is on that side . Ultimately the knife cut ( C。) is again clear of the pancake and there is zero ...
... less as I presented it in class , in the form which led to the crisis . It was modelled on the one found in Chinn ... less and less area is on that side . Ultimately the knife cut ( C。) is again clear of the pancake and there is zero ...
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 |
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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