2000Journal of Henan UniversityRequires access

The Logical Analysis of the Martin Axiom

Li Na

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Abstract

The paper discusses some questions of the Martin Axiom in Axiomica Set Theory,i.e.,(1)What is the Martin Axiom?(2)Martin Axiom's the equivalence propositions.(3)The relation between the Martin Axiom and Continuum Hypothesis;(4)Martin Axiom's roles in morden mathematics.

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The paper discusses some questions of the Martin Axiom in Axiomica Set Theory,i.e.,(1)What is the Martin Axiom?(2)Martin Axiom's the equivalence propositions.(3)The relation between the Martin Axiom and Continuum Hypothesis;(4)Martin Axiom's roles in morden mathematics.

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Available abstract

The paper discusses some questions of the Martin Axiom in Axiomica Set Theory,i.e.,(1)What is the Martin Axiom?(2)Martin Axiom's the equivalence propositions.(3)The relation between the Martin Axiom and Continuum Hypothesis;(4)Martin Axiom's roles in morden mathematics.

Key concepts: Constructive set theory, Zermelo–Fraenkel set theory, Urelement, Axiom of choice, Axiom, Axiom independence, Mathematics, Mathematical economics

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