Mathematical logic and foundations Concept
Set
Summary
A set is a collection of distinct objects, called its elements. A set is determined by its elements, and the order and repetition of the elements do not matter.
Where this leads
35 pages build on this one.
- Well-powered category
- Von Neumann universe
- Type theory
- Representable functor
- Woodin cardinal
- Dynamical system
- Constructible universe
- Kunen's inconsistency theorem
- Curry–Howard correspondence
- Wang tile
- Burali-Forti paradox
- Filtered colimits commute with finite limits
- Axiom schema of replacement
- Homotopy type theory
- Intuitionistic type theory
- Zero sharp
- Homotopy type theory
- Von Neumann–Bernays–Gödel set theory
- Intuitionistic type theory
- Free object
- Category
- Axiom of regularity
- Axiom of constructibility
- Type theory
- Gödel's consistency of CH and AC
- Jensen's covering theorem
- Set theory
- Hom functor
- Turing machine
- Inner model
- Category of sets
- Naive set theory
- Class
- Structure
- Universal coalgebra
Further reading
- Web https://en.wikipedia.org/wiki/Set_(mathematics), lead section
About this page
| Tag | 0BSJ7RQ9BW |
|---|---|
| URI | m2://0BSJ7RQ9BW |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E20 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 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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