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The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form of simultaneous refl...
The Proper Forcing Axiom     Forcing axiom  Martin’s Axiom  OCA  Open Coloring Axiom  PID  P-ideal Dichotomy  proper forcing  PFA       font style='font-size:12px;'> 2015/8/17
The Proper Forcing Axiom is a powerful extension of the Baire Category Theorem which has proved highly effective in settling mathematical statements which are independent of ZFC. In contrast to the Co...

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