Gödel numbering

Gödel numbering
A process whereby a unique number can be associated with any formula of a logical system. This is an essential step in realizing the goal of metamathematics, that the proofs of a system should themselves be treated as mathematical objects. By Gödel numbering claims made within the language about proofs and theorems may be mapped onto arithmetical claims.

Philosophy dictionary. . 2011.

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