On the Minimal Non-Fregean Grzegorczyk Logic

Studia Logica 104 (2):209-234 (2016)
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Abstract

The paper concerns Grzegorczyk’s non-Fregean logics that are intended to be a formal representation of the equimeaning relation defined on descriptions. We argue that the main Grzegorczyk logics discussed in the literature are too strong and we propose a new logical system, \, which satisfies Grzegorczyk’s fundamental requirements. We present a sound and complete semantics for \ and we prove that it is decidable. Finally, we show that many non-classical logics are extensions of \, which makes it a generic non-Fregean logic.

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Joanna Golinska-Pilarek
University of Warsaw

Citations of this work

Non-Fregean Logics of Analytic Equivalence (II).Andrzej Biłat - 2015 - Bulletin of the Section of Logic 44 (1/2):69-79.
Non-Fregean Logics of Analytic Equivalence (I).Andrzej Biłat - 2015 - Bulletin of the Section of Logic 44 (1/2):53-68.

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