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- Classical_mathematics abstract "In the foundations of mathematics, classical mathematics refers generally to the mainstream approach to mathematics, which is based on classical logic and ZFC set theory. It stands in contrast to other types of mathematics such as constructive mathematics or predicative mathematics. In practice, the most common non-classical systems are used in constructive mathematics.Classical mathematics is sometimes attacked on philosophical grounds, due to constructivist and other objections to the logic, set theory, etc., chosen as its foundations, such as have been expressed by L. E. J. Brouwer. Almost all mathematics, however, is done in the classical tradition, or in ways compatible with it.Defenders of classical mathematics, such as David Hilbert, have argued that it is easier to work in, and is most fruitful; although they acknowledge non-classical mathematics has at times led to fruitful results that classical mathematics could not (or could not so easily) attain, they argue that on the whole, it is the other way round. In terms of the philosophy and history of mathematics, the very existence of non-classical mathematics raises the question of the extent to which the foundational mathematical choices humanity has made arise from their "superiority" rather than from, say, expedience-driven concentrations of effort on particular aspects.".
- Classical_mathematics wikiPageID "1178398".
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- Classical_mathematics hasPhotoCollection Classical_mathematics.
- Classical_mathematics subject Category:Mathematical_logic.
- Classical_mathematics comment "In the foundations of mathematics, classical mathematics refers generally to the mainstream approach to mathematics, which is based on classical logic and ZFC set theory. It stands in contrast to other types of mathematics such as constructive mathematics or predicative mathematics.".
- Classical_mathematics label "Classical mathematics".
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- Classical_mathematics sameAs Q5128339.
- Classical_mathematics sameAs Q5128339.
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