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

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Is there a formal notion of what we do when we 'Let X be ...'?

Kieffer, Avigad, & Frideman, 2008 A language for mathematical knowledge management, which I mentioned in the Proof formalization thread, discusses DZFC, an extension of ZFC with definitions of terms a …
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What assumptions and methodology do metaproofs of logic theorems use and employ?

Certainly, classical logic is used in metalogic. I can't think, offhand, of any cases where I think its use is necessary. The methodology of reverse mathematics seems to offer a suitable, constructi …
Charles Stewart's user avatar