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Journal Article

# A Characterization of Martin's Axiom in Terms of Absoluteness

Joan Bagaria
The Journal of Symbolic Logic
Vol. 62, No. 2 (Jun., 1997), pp. 366-372
DOI: 10.2307/2275537
Stable URL: http://www.jstor.org/stable/2275537
Page Count: 7

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Topics: Martins axiom, Partially ordered sets, Cardinality, Logical theorems, Parametric models

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## Abstract

Martin's axiom is equivalent to the statement that the universe is absolute under ccc forcing extensions for Σ1 sentences with a subset of $\kappa, \kappa < 2^{\aleph_0}$, as a parameter.

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