Category:Set theory
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- Set theory is any of a number of subtly different things in mathematics:
- Naive set theory is the original set theory developed by mathematicians at the end of the 19th century, treating sets simply as collections of things.
- Axiomatic set theory is a rigorous axiomatic theory developed in response to the discovery of serious flaws (such as Russell's paradox) in naive set theory. It treats sets as "whatever satisfies the axioms", and the notion of collections of things serves only as motivation for the axioms.
- Internal set theory is an axiomatic extension of set theory that supports a logically consistent identification of illimited (enormously large) and infinitesimal elements within the real numbers.
- Various versions of logic have associated sorts of sets (such as fuzzy sets in fuzzy logic).
Subcategories
This category has the following 7 subcategories, out of 17 total.
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Pages in category "Set theory"
The following 45 pages are in this category, out of 156 total. This list may not reflect recent changes.
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- S (set theory)
- Schröder–Bernstein property
- Scott's trick
- Separating set
- List of set identities and relations
- Set intersection oracle
- Set theory of the real line
- Set Theory: An Introduction to Independence Proofs
- Set-builder notation
- Set-theoretic limit
- Set-theoretic topology
- Sierpiński set
- Signed set
- Silver's dichotomy
- Soft set
- Solovay model
- Square principle
- Standard model (set theory)
- List of statements independent of ZFC
- Stationary set
- Stratification (mathematics)
- Structuralism (philosophy of mathematics)
- Subclass (set theory)
- Successor cardinal
- Sunflower (mathematics)
- Superstrong cardinal
- Supertransitive class
- Support (mathematics)
- Suslin representation