The Mathematical Experience |
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Page 2
... idea of the teaching of each of these three schools . But I had no idea which one I agreed with , if any , and I had only a vague idea of what had become of the three schools in the half century since their founders were active . I ...
... idea of the teaching of each of these three schools . But I had no idea which one I agreed with , if any , and I had only a vague idea of what had become of the three schools in the half century since their founders were active . I ...
Page 37
... idea hidden in lemma 4 , ignore the routine and uninteresting calculations of lemmas 1 , 2 , 3 , 5 , 6 , 7 , and see what the author is doing and why he does it . But for the noninitiate , this is a cipher that will never yield its ...
... idea hidden in lemma 4 , ignore the routine and uninteresting calculations of lemmas 1 , 2 , 3 , 5 , 6 , 7 , and see what the author is doing and why he does it . But for the noninitiate , this is a cipher that will never yield its ...
Page 397
... idea . Thus the fundamental intuition of the natural numbers is a shared concept , an idea held in common by everybody who has gone through certain experiences of manipulating coins or bricks , buttons or pebbles , until we can tell ...
... idea . Thus the fundamental intuition of the natural numbers is a shared concept , an idea held in common by everybody who has gone through certain experiences of manipulating coins or bricks , buttons or pebbles , until we can tell ...
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