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Meta-mathematics

From Encyclopedia of Mathematics
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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)
How to Cite This Entry:
Meta-mathematics. A.G. Dragalin (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Meta-mathematics&oldid=13346
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098
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