Abstract

Williamson(1994) proved incompatibility of Gab Theory and Tarski T-schema. But this does not means that Gab Theory could not involve intuition on truth that is expressed by T-schema. I will show that Gab Theory and mutual entailment of 'p' and 'it is true that p'(p⊨T

and T

⊨p) are compatible. It will draw that Gab Theory can involve minimal intuition on truth. After all what I want to reveal is logical space for Gab Theory through the compatibility of the mutual entailment and negation of the Principle of Bivalence. To prove the compatibility, I will present a consequent relation which should be accepted whenever we accept Gab Theory and demonstrate Gab Theory and the mutual entailment imply following two thesis; 1) not-T

and T are not equivalent. 2) p entails T

but not-T

does not entails not-p.

Keywords

• Gap Theory;
• Principle of Bivalence;
• Logical Consequence;
• Williamson

• 간극이론;
• 이가율;
• 논리적 귀결;
• 윌리엄슨;

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References

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