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T-schema deflationism versus Godel's first incompleteness theorem |
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Notes for this articleT-schema deflationist claims that all that a theory of truth should amount to is listing all correct cases of T-schema. Gauker argues that all correct cases of T-schema in English are not enumerable. The basic argument is like that:
(1) The set of true sentences of considered language includes all true sentences of arithmetics.
(2) For any true sentence there is a T-schema instance which is materially equivalent to this sentence.
(3) For any two distinct true sentences the corresponding instances of T-schema are different.
(6) The set of true sentences of arithmetics is not effectively enumerable.
(5)Therefore, the set of all T-schemas is not effectively enumerable.
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