The Mathematical Experience |
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Page 43
... reason that my formulas are appropriate for intergalactic communication is the same reason they are not very suitable for terrestrial commu- nication . Their content is not earthbound . It is free of the specifically human . S.C. I don ...
... reason that my formulas are appropriate for intergalactic communication is the same reason they are not very suitable for terrestrial commu- nication . Their content is not earthbound . It is free of the specifically human . S.C. I don ...
Page 326
... Reason as an innate trait of the human mind , by which truths could be perceived a priori , independent of observa- tion . For example , I may be mistaken in thinking that I am sitting at my writing desk composing this sentence , and I ...
... Reason as an innate trait of the human mind , by which truths could be perceived a priori , independent of observa- tion . For example , I may be mistaken in thinking that I am sitting at my writing desk composing this sentence , and I ...
Page 365
... reason ” for believ- ing the Riemann hypothesis by giving a " good reason " ( not a proof ! ) that M ( N ) has the required rate of growth . Their " good reason " involves thinking of the values of the Möbius function as if they were ...
... reason ” for believ- ing the Riemann hypothesis by giving a " good reason " ( not a proof ! ) that M ( N ) has the required rate of growth . Their " good reason " involves thinking of the values of the Möbius function as if they were ...
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