The Mathematical Experience |
From inside the book
Results 1-3 of 73
Page 140
... Objects and Structures ; Existence I NFORMAL MATHEMATICAL discourse , as part of natural discourse , is composed of nouns , verbs , adjec- tives , etc. The nouns denote ... objects 140 Inner Issues Mathematical Objects and Structures; Exis-
... Objects and Structures ; Existence I NFORMAL MATHEMATICAL discourse , as part of natural discourse , is composed of nouns , verbs , adjec- tives , etc. The nouns denote ... objects 140 Inner Issues Mathematical Objects and Structures; Exis-
Page 318
... objects of daily life ? Why is Euclidean geom- etry still correct , while Aristotelian physics is dead long since ? What do we know in mathematics , and how do we know it ? In any discussion of the foundations of mathematics , three ...
... objects of daily life ? Why is Euclidean geom- etry still correct , while Aristotelian physics is dead long since ? What do we know in mathematics , and how do we know it ? In any discussion of the foundations of mathematics , three ...
Page 408
... objects . This pic- ture , produced by com- puter , is of an object that " exists " only in the com- puter memory ... objects have definite properties . There are true facts about imaginary objects . From the Platonist point of view ...
... objects . This pic- ture , produced by com- puter , is of an object that " exists " only in the com- puter memory ... objects have definite properties . There are true facts about imaginary objects . From the Platonist point of view ...
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