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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.".
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- Classical_mathematics wikiPageWikiLink Category:Mathematical_logic.
- Classical_mathematics wikiPageWikiLink Classical_logic.
- Classical_mathematics wikiPageWikiLink Constructive_mathematics.
- Classical_mathematics wikiPageWikiLink Constructivism_(mathematics).
- Classical_mathematics wikiPageWikiLink David_Hilbert.
- Classical_mathematics wikiPageWikiLink Finitism.
- Classical_mathematics wikiPageWikiLink Foundations_of_mathematics.
- Classical_mathematics wikiPageWikiLink Impredicativity.
- Classical_mathematics wikiPageWikiLink Intuitionism.
- Classical_mathematics wikiPageWikiLink L._E._J._Brouwer.
- Classical_mathematics wikiPageWikiLink Mathematics.
- Classical_mathematics wikiPageWikiLink Non-classical_analysis.
- Classical_mathematics wikiPageWikiLink Philosophy_of_Mathematics.
- Classical_mathematics wikiPageWikiLink Philosophy_of_mathematics.
- Classical_mathematics wikiPageWikiLink Predicative_mathematics.
- Classical_mathematics wikiPageWikiLink Traditional_mathematics.
- Classical_mathematics wikiPageWikiLink Ultrafinitism.
- Classical_mathematics wikiPageWikiLink ZFC_set_theory.
- Classical_mathematics wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Classical_mathematics wikiPageWikiLinkText "Classical mathematics".
- Classical_mathematics wikiPageWikiLinkText "classical mathematics".
- Classical_mathematics wikiPageWikiLinkText "classical".
- Classical_mathematics hasPhotoCollection Classical_mathematics.
- Classical_mathematics wikiPageUsesTemplate Template:Mathlogic-stub.
- Classical_mathematics subject Category:Mathematical_logic.
- Classical_mathematics type Field.
- 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".
- Classical_mathematics sameAs m.04dtq4.
- Classical_mathematics sameAs Q5128339.
- Classical_mathematics sameAs Q5128339.
- Classical_mathematics wasDerivedFrom Classical_mathematics?oldid=639026953.
- Classical_mathematics isPrimaryTopicOf Classical_mathematics.