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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.
==ZF (the Zermelo–Fraenkel axioms without the axiom of choice)==
''Together with the axiom of choice (see below), 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 extensionality
* Axiom of empty set
* Axiom of pairing
* Axiom of union
* Axiom of infinity
* Axiom schema of replacement
* Axiom of power set
* Axiom of regularity
* Axiom schema of specification
See also Zermelo set theory.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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