The Mathematical Experience |
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Page 218
... Postulate 5 is different . It is complicated to state and rather less self - evi- dent . It seems to transcend direct physical experience . Pos- tulate 5 is known as Euclid's Parallel Postulate or , more fa- miliarly , in a friendly ...
... Postulate 5 is different . It is complicated to state and rather less self - evi- dent . It seems to transcend direct physical experience . Pos- tulate 5 is known as Euclid's Parallel Postulate or , more fa- miliarly , in a friendly ...
Page 227
... postulate played a special role . This was the parallel postulate , which says that through a given point there can be drawn precisely one line parallel to a given line . ( See the discussion of non - Eu- clidean geometry earlier in ...
... postulate played a special role . This was the parallel postulate , which says that through a given point there can be drawn precisely one line parallel to a given line . ( See the discussion of non - Eu- clidean geometry earlier in ...
Page 341
... postulate ( the postulate of parallels , which was not as " self - evident " as the other four postulates ) led to the discovery of non- Euclidean geometry in which the parallel postulate is as- sumed to be false . Now , can we claim ...
... postulate ( the postulate of parallels , which was not as " self - evident " as the other four postulates ) led to the discovery of non- Euclidean geometry in which the parallel postulate is as- sumed to be false . Now , can we claim ...
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