Simple proofs of $${\mathsf{SCH}}$$ SCH from reflection principles without using better scales

Archive for Mathematical Logic 54 (5-6):639-647 (2015)
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Abstract

We give simple proofs of the Singular Cardinal Hypothesis from the Weak Reflection Principle and the Fodor-type Reflection Principle which do not use better scales.

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10.1007/s00153-015-0432-0

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Citations of this work

A Reflection Principle As a Reverse-mathematical Fixed Point over the Base Theory ZFC.Sakaé Fuchino - 2017 - Annals of the Japan Association for Philosophy of Science 25:67-77.

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References found in this work

The combinatorial essence of supercompactness.Christoph Weiß - 2012 - Annals of Pure and Applied Logic 163 (11):1710-1717.
The Proper Forcing Axiom and the Singular Cardinal Hypothesis.Matteo Viale - 2006 - Journal of Symbolic Logic 71 (2):473 - 479.

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