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T-schema deflationism versus Godel's first incompleteness theorem Export

Analysis, Vol. 61, No. 270. (2001), pp. 129-136.

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analytic deflationism philosophy t-schema

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T-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.

RafalUrbaniak (public note) - 2006-03-15 03:55:01

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