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This system can also be successfully axiomatized.
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Suitably axiomatized, a category with these properties is called an (elementary) topos.
Algebraic topology was axiomatized by Samuel Eilenberg, a Polish-born American mathematician and Bourbaki member, and the American mathematician Norman Steenrod.
(Gödel showed that any consistent axiomatic theory that comprises a certain amount of elementary arithmetic is incapable of being completely axiomatized).
It is premised upon the formulation of T as a formal axiomatic theory i.e., the theory of inference (as well as T) must be axiomatized.
Hilbert believed that all of mathematics could be precisely axiomatized.
The logic of stit was axiomatized by Ming Xu (1998).
This assumes, of course, that M is finitely axiomatized.
The theories of truth discussed thus far are all axiomatized in classical logic.
In the absence of any such effective method, the theory will not have been axiomatized.
Economic theories have been axiomatized, and articles and books of economics are full of theorems.
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