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List of axioms
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List of axioms

This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are almost always part of a larger axiomatic system.

Table of contents
1 Zermelo-Frankel axioms
2 Axiom of choice
3 Other axioms of mathematical logic
4 Other axioms

Zermelo-Frankel axioms

These are the de facto standard axioms for contemporary mathematics

Axiom of choice

With the Zermelo-Frankel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable

Equivalents of AC

Weaker than AC

Alternates incompatible with AC

Other axioms of mathematical logic

Other axioms