On Partiality and Tichý's Transparent Intensional Logic

Authors

RACLAVSKÝ Jiří

Year of publication 2010
Type Article in Periodical
Magazine / Source Hungarian Philosophical Review
MU Faculty or unit

Faculty of Arts

Citation
Field Philosophy and religion
Keywords partiality; truth-value gaps; transparent intensional logic
Description The paper focuses on treating of partiality within Tichý's logical system. Tichý's logic is two valued and type-theoretic. Tichý's simple theory of types (and the deduction system designed for it) accepts both total and partial functions. Tichý's late framework is explicitly ramified. So-called constructions (roughly: algorithms) construct, e.g., values of functions at arguments; in some cases, however, they do not construct anything at all. This special partiality phenomenon is discussed in the second part of the paper.

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