intuitionistic analysis

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• Intuitionistic logic — Intuitionistic logic, or constructive logic, is a symbolic logic system differing from classical logic in its definition of the meaning of a statement being true. In classical logic, all well formed statements are assumed to be either true or… …   Wikipedia

• Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… …   Wikipedia

• Non-classical analysis — In mathematics, non classical analysis is any system of analysis, other than classical real analysis, and complex, vector, tensor, etc., analysis based upon it. Such systems include: Abstract Stone duality,[1] a programme to re axiomatise general …   Wikipedia

• Constructive analysis — In mathematics, constructive analysis is mathematical analysis done according to the principles of constructive mathematics. This contrasts with classical analysis, which (in this context) simply means analysis done according to the (ordinary)… …   Wikipedia

• Philosophical analysis — (from Greek: Φιλοσοφική ανάλυση) is a general term for techniques typically used by philosophers in the analytic tradition that involve breaking down (i.e. analyzing) philosophical issues. Arguably the most prominent of these techniques is the… …   Wikipedia

• Constructive non-standard analysis — In mathematics, constructive nonstandard analysis is a version of Abraham Robinson s non standard analysis, developed by Moerdijk (1995), Palmgren (1998), Ruokolainen (2004). Ruokolainen wrote: The possibility of constructivization of nonstandard …   Wikipedia

• Constructivist analysis — In mathematics, constructive analysis is mathematical analysis done according to the principles of constructivist mathematics.This contrasts with classical analysis , which (in this context) simply means analysis done according to the (ordinary)… …   Wikipedia

• Intuitionism — This article is about Intuitionism in mathematics and philosophical logic. For other uses, see Ethical intuitionism. In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as …   Wikipedia

• metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …   Universalium

• Foundations of mathematics — is a term sometimes used for certain fields of mathematics, such as mathematical logic, axiomatic set theory, proof theory, model theory, and recursion theory. The search for foundations of mathematics is also a central question of the philosophy …   Wikipedia

• William Alvin Howard — (1926 ) is a proof theorist most well known for his work demonstrating formal similarity between intuitionistic logic and the simply typed lambda calculus that has come to be known as the Curry Howard correspondence. He has also been active in… …   Wikipedia