Is the HYPE about strength warranted?

Synthese - Tập 200 - Trang 1-25 - 2022
Martin Fischer1
1Ludwig-Maximilians-Universität München, Munich, Germany

Tóm tắt

In comparing classical and non-classical solutions to the semantic paradoxes arguments relying on strength have been influential. In this paper I argue that non-classical solutions should preserve the proof-theoretic strength of classical solutions. Leitgeb’s logic of HYPE is then presented as an interesting possibility to strengthen FDE with a suitable conditional. It is shown that HYPE allows for a non-classical Kripkean theory of truth, called KFL, that is strong enough for the relevant purposes and has additional attractive properties.

Tài liệu tham khảo

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