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Axioms

Other axioms
Axiom of Archimedes (real number)Axiom of countability (topology)Fundamental axiom of analysis (real analysis)Gluing axiom (sheaf theory)Haag-Kastler axioms (quantum field theory)Huzita's axioms (orig ...
2014-3-16 11:19
Geometry
Parallel postulateBirkhoff's axiomsHilbert's axiomsTarski's axioms
2014-3-16 11:19
Other axioms of mathematical logic
Von Neumann-Bernays-Gödel axiomsContinuum hypothesis and its generalizationFreiling's axiom of symmetryAxiom of determinacyAxiom of projective determinacyMartin's axiomAxiom of constructibilityRank-i ...
2014-3-16 11:18
Axiom of choice
With the Zermelo–Fraenkel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable.Equivalents of ACHausdorff maximality theoremWell-ordering principleZorn's l ...
2014-3-16 11:17
Zermelo–Fraenkel axioms
These are the de facto standard axioms for contemporary mathematics or set theory. They can be easily adapted to analogous theories, such as mereology.Axiom of extensionalityAxiom of empty setAxiom of ...
2014-3-16 11:17
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 alm ...
2014-3-16 11:16

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