The Mathematical Experience |
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Page 148
... square GB . Similarly , if AE , BK be joined , the parallelogram CL can also be proved equal to the square HC ; therefore the whole square BDEC is equal to the two squares GB , HC . [ C.N. 2 ] And the square BDEC is described on BC ...
... square GB . Similarly , if AE , BK be joined , the parallelogram CL can also be proved equal to the square HC ; therefore the whole square BDEC is equal to the two squares GB , HC . [ C.N. 2 ] And the square BDEC is described on BC ...
Page 248
... square labeled " Harry Smith " is " thinner than " the two - inch square la- beled " George Klein " only if Harry Smith is actually thin- ner than George Klein . In this way true statements about students are reinterpreted as true ...
... square labeled " Harry Smith " is " thinner than " the two - inch square la- beled " George Klein " only if Harry Smith is actually thin- ner than George Klein . In this way true statements about students are reinterpreted as true ...
Page 401
... square faces , and 8 cubical hyperfaces . The table below shows the number of " parts " of the in- terval , square , cube , and hypercube . It is a startling discov- ery that the sum of the parts is always a power of three ! Dimen- 0 ...
... square faces , and 8 cubical hyperfaces . The table below shows the number of " parts " of the in- terval , square , cube , and hypercube . It is a startling discov- ery that the sum of the parts is always a power of three ! Dimen- 0 ...
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