List of axioms



         


This is a list of axioms as that term is understood in mathematics, by BambooWeb 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.

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Zermelo-Frankel axioms

These are the de facto standard axioms for contemporary mathematics

See also Zermelo set theory.

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Axiom of choice

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

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Equivalents of AC

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Weaker than AC

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Alternates incompatible with AC

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Other axioms of mathematical logic

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Geometry

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Other axioms






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