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metamathematics (n.)

"the metaphysics of mathematics," including the philosophy of non-Euclidian geometry, 1878, from meta- in the sense of "transcending, overarching, dealing with the most fundamental matters of" + mathematics. Related: Metamathematical.

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Definitions of metamathematics from WordNet

metamathematics (n.)
the logical analysis of mathematical reasoning;
From wordnet.princeton.edu