Meta-mathematics

From HandWiki

The totality of mathematical theories used in the study of formal theories (calculi). The meta-mathematics related to the study of a given formal theory forms the so-called meta-theory of this formal theory.

In a narrow sense, the term "meta-mathematics" is also used as a synonym for proof theory.


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References

[a1] R. Sikorsky, "The mathematics of metamathematics" , Polska Akad. Nauk (1963)