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elementary definition
In mathematical logic, an elementary definition is a definition that can be made using only finitary first-order logic, and in particular without reference to set theory or using extensions such as plural quantification.
Elementary definitions are of particular interest because they admit a complete proof apparatus while still being expressive enough to support most everyday mathematics (via the addition of elementarily-expressible axioms such as ZFC).
Saying that a definition is elementary is a weaker condition than saying it is algebraic.
==Related==
*Elementary sentence
*Elementary 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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