#REDIRECT [[ Category:Mathematical analysis #Other topics]] ▼
In [[mathematics]], '''non-classical analysis''' is any system of analysis, other than classical [[real analysis]], and complex, vector, tensor, etc., analysis based upon it.
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Such systems include:
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*[[Abstract Stone duality]], a recent theory of general topology founded on the [[topos]] of locally compact locales. It allows the development of a form of constructive real analysis by topological means.
*[[Chainlet geometry]], a recent development of geometric integration theory which incorporates [[infinitesimals]] and allows the resulting calculus to be applied to continuous domains without local Euclidean structure as well as discrete domains.
*[[Constructivist analysis]], which is built upon a foundation of [[constructivist logic|constructivist]], rather than classical, logic and set theory.
*[[Intuitionistic analysis]], which is developed from constructivist logic like constructivist analysis but also incorporates choice sequences.
*[[Non-standard analysis]], develops rigorous infinitesmals within a new number system along with a transfer principle allowing them to be applied back to the real numbers.
*[[p-adic analysis]]
*[[Paraconsistent analysis]], which is built upon a foundation of [[paraconsistent logic|paraconsistent]], rather than classical, logic and set theory.
*[[Smooth infinitesimal analysis]], which is developed in a smooth topos.
▲[[Category:Mathematical analysis]]
[[Category:Mathematical logic]]
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