Set Theory/Zermelo-Fraenkel Axiomatic Set Theory
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- Extensionality, two sets with the same elements are equal.
- Separation, subsets exist
where p is any proposition
- The empty set exists
- Union, the union of all members of a set is a set.
- Power sets exist
we denote this set y by P(x)
- Infinity, an infinite set exists
- Foundation, no set is a member of itself