The Mathematical Experience |
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Page 161
... century intuitive notion of the straight line , perhaps we should conclude that the question of infinite divisibility was undecidable . By the twentieth century , the weight of two hundred years of successful practice of mathematical ...
... century intuitive notion of the straight line , perhaps we should conclude that the question of infinite divisibility was undecidable . By the twentieth century , the weight of two hundred years of successful practice of mathematical ...
Page 264
... century concept of function was not adequate to describe such easily visual- ized curves as on page 260 the nineteenth - century concept of an arbitrary function includes creatures beyond anyone's hope of. Peter Gustav Lejeune Dirichlet ...
... century concept of function was not adequate to describe such easily visual- ized curves as on page 260 the nineteenth - century concept of an arbitrary function includes creatures beyond anyone's hope of. Peter Gustav Lejeune Dirichlet ...
Page 313
... century of Felix Klein's program of unifying geometries by group theory . ( 3 ) The collapse , in the early nineteenth century , of the view derived largely from limited sense experience that the geometry of Euclid has a priori truth ...
... century of Felix Klein's program of unifying geometries by group theory . ( 3 ) The collapse , in the early nineteenth century , of the view derived largely from limited sense experience that the geometry of Euclid has a priori truth ...
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