Intuitionism
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In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as the constructive mental activity of humans. That is, mathematics does not consist of analytic activities wherein deep properties of existence are revealed and applied. Instead, logic and mathematics are the application of internally consistent methods to realize more complex mental constructs.
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Contributors to intuitionism
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Branches of intuitionistic mathematics
- Intuitionistic logic
- Intuitionistic arithmetic
- Intuitionistic type theory
- Intuitionistic set theory
- Intuitionistic analysis
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See also
- Anti-realism
- Benjamin Peirce
- BHK interpretation
- Brouwer-Hilbert controversy
- Computability logic
- Constructive logic
- Curry-Howard isomorphism
- Foundations of mathematics
- Fuzz (Mathematics and Computer Science)
- Game semantics
- Model Theory
- Intuition (knowledge)
- Ultraintuitionism
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