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Category:  Main » Society » Philosophy » Philosophy of Science » Mathematics

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Constructive Mathematics Popularity:    Hit: 77
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Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase `there exists' as `we can construct'. In order to work constructively, we need to re-interpret not only the existential quantifier but all the logical connectives and quantifiers as instructions on how to construct a proof of the statement involving these logical expressions. From the Stanford Encyclopedia.

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URL: http://plato.stanford.edu/entries/mathematics-constructive/
Title: Constructive Mathematics (Stanford Encyclopedia of Philosophy)
Description: Society, Philosophy, Philosophy of Science, Mathematics - Constructive Mathematics. Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase `there exists' as `we can construct'.
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Popular Sites
Constructive Mathematics (Popularity: ): Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase `there exists' as ...
Indispensability Arguments in the Philosophy of Mathematics (Popularity: ): From the fact that mathematics is indispensable to science, some philosophers have drawn serious metaphysical conclusions. In particular, Quine and ...
Intuitionistic Logic (Popularity: ): Intuitionistic logic encompasses the principles of logical reasoning which were used by L. E. J. Brouwer in developing his intuitionistic ...
PHILTAR - Philosophy of Mathematics (Popularity: ): Links to pages on individual philosophers.
Nineteenth Century Geometry (Popularity: ): Philosophical-historical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.


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