The Mathematical Experience |
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Page 347
... Lakatos ' master- piece . For fifteen years it was a sort of underground classic among mathematicians , known only to those few intrepid . souls who ventured into the bound volumes of the British Journal for Philosophy of Science ...
... Lakatos ' master- piece . For fifteen years it was a sort of underground classic among mathematicians , known only to those few intrepid . souls who ventured into the bound volumes of the British Journal for Philosophy of Science ...
Page 353
... Lakatos wrote that to revise the infallibilist philosophy of mathematics " one had to give up the idea that our deductive inferential intuition is infallible . " The editors note , This passage seems to us mistaken and we have no doubt ...
... Lakatos wrote that to revise the infallibilist philosophy of mathematics " one had to give up the idea that our deductive inferential intuition is infallible . " The editors note , This passage seems to us mistaken and we have no doubt ...
Page 427
... Lakatos ( ed . ) , Problems in the Philosophy of Mathematics , pp . 118-133 . Amsterdam : North - Holland 1967 ... LAKATOS , I .: Infinite Regress and the Foundations of Mathematics . Aris- totelian Society Supplementary Volume 36 , pp ...
... Lakatos ( ed . ) , Problems in the Philosophy of Mathematics , pp . 118-133 . Amsterdam : North - Holland 1967 ... LAKATOS , I .: Infinite Regress and the Foundations of Mathematics . Aris- totelian Society Supplementary Volume 36 , pp ...
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