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the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
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Meta$^{n{-}th}$ mathematics [duplicate]
Metamathematics has a reasonably clear connotation,
enough to have a Wikipedia page,
with Gödel, Tarski, and Turing playing leading roles;
Kleene's book (Introduction to Metamathematics (Amazon link)); … Or does all the literature essentially "devolve" to metamathemathics,
without an identifiable line that can be drawn between metamathematics and
meta-metamathematics? …