The Mathematical Experience |
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Page 152
Philip J. Davis, Reuben Hersh. Infinity , or the Miraculous Jar of Mathematics = ATHEMATICS , IN ONE VIEW , is the sci- ence of infinity . Whereas the sentences " 2 + 3 = 5 " , " + " , " seventy - one is a prime number " are instances of ...
Philip J. Davis, Reuben Hersh. Infinity , or the Miraculous Jar of Mathematics = ATHEMATICS , IN ONE VIEW , is the sci- ence of infinity . Whereas the sentences " 2 + 3 = 5 " , " + " , " seventy - one is a prime number " are instances of ...
Page 155
... Infinity . An inductive ( i.e. infinite ) set exists . " Compare this against the axiom of God as presented by Maimonides ( Mishneh Torah , Book 1 , Chapter 1 ) : The basic principle of all basic principles and the pillar of all the ...
... Infinity . An inductive ( i.e. infinite ) set exists . " Compare this against the axiom of God as presented by Maimonides ( Mishneh Torah , Book 1 , Chapter 1 ) : The basic principle of all basic principles and the pillar of all the ...
Page 224
... infinity . The first , the infinity of the natural numbers ( and of any equivalent infinite sets ) , is called aleph nought ( No ) . Sets with cardinality No are called countable . The second kind of infinity is the one represented by a ...
... infinity . The first , the infinity of the natural numbers ( and of any equivalent infinite sets ) , is called aleph nought ( No ) . Sets with cardinality No are called countable . The second kind of infinity is the one represented by a ...
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