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单词 Z2
释义

Z2


Z2 is the full system of second order arithmetic, that is, the full theory of numbers and sets of numbers. It is sufficient for a great deal of mathematics, including much of number theoryMathworldPlanetmathPlanetmath and analysis.

The axioms defining successorMathworldPlanetmathPlanetmathPlanetmath, additionPlanetmathPlanetmath, multiplication, and comparison are the same as those of PA. Z2 adds the full induction axiomMathworldPlanetmath and the full comprehension axiom.

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更新时间:2025/6/18 7:41:16