The Mathematical Experience |
From inside the book
Results 1-3 of 43
Page 130
... figure than the first . Yet there is one very important respect in which these figures are completely identical . Think of the first figure as the plan of a maze or a labyrinth . Starting from the outside , we try to find our way into ...
... figure than the first . Yet there is one very important respect in which these figures are completely identical . Think of the first figure as the plan of a maze or a labyrinth . Starting from the outside , we try to find our way into ...
Page 131
... Figure 2 as follows . B E H D G S C F I Then you can easily see that the verbal description which applies to the first maze applies also to the above figure as we traverse it from left to right . These two figures are therefore ...
... Figure 2 as follows . B E H D G S C F I Then you can easily see that the verbal description which applies to the first maze applies also to the above figure as we traverse it from left to right . These two figures are therefore ...
Page 150
... figure certain lines , e.g. BK , AL seem to be extraneous to a minimal figure drawn as an expression of the theorem itself . Such a figure is illustrated here : a right angled triangle with squares drawn upon each of its three sides ...
... figure certain lines , e.g. BK , AL seem to be extraneous to a minimal figure drawn as an expression of the theorem itself . Such a figure is illustrated here : a right angled triangle with squares drawn upon each of its three sides ...
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