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the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.

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Formal proof of Con(ZFC) => Con(ZFC + not CH) in ZFC

The usual strategy to prove that the negation of $CH$ is consistent with $ZFC$ is the following: One shows (under the assumption $Con(ZFC)$ that for any finite fragment $T$ of $ZFC$ we have that $T+ …
Stefan Hoffelner's user avatar