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Constructive Mathematics

URL: http://plato.stanford.edu/entries/mathematics-constructive/


Submitted: Sat Sep 06 2003
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CT: Philosophy: Philosophy of Science: Mathematics: Constructive Mathematics

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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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Category for: Philosophy: Philosophy of Science: Mathematics: Constructive Mathematics