Math 2.0

Concept

Constructive set theory

Summary

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language with "==" and "∈\in" of classical set theory is usually used, so this is not to be confused with a constructive types approach. On the other hand, some constructive theories are indeed motivated by their interpretability in type theories.

Further reading

  1. Wikipedia, page 5042360, revision 1365499298, Constructive set theory. adopted
About this page
TagZCXNR881FX
URIm2://ZCXNR881FX
Aliasesczf, constructivist-set-theory, izf, intuitionistic-zermelo-fraenkel, intuitionistic-set-theory, myhills-constructive-set-theory
Kindconcept
WritingW1 stated
Same as
Changed4 November 2026

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  • edge defines in: at least one definition (0 of 1)
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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