NDLI: Paths to Triviality

Content Provider	Springer Nature Link
Author	Øgaard, Tore Fjetland
Copyright Year	2015
Abstract	This paper presents a range of new triviality proofs pertaining to naïve truth theory formulated in paraconsistent relevant logics. It is shown that excluded middle together with various permutation principles such as A → (B → C)⊩B → (A → C) trivialize naïve truth theory. The paper also provides some new triviality proofs which utilize the axioms ((A → B)∧(B → C)) → (A → C) and (A → ¬A) → ¬A, the fusion connective and the Ackermann constant. An overview over various ways to formulate Leibniz’s law in non-classical logics and two new triviality proofs for naïve set theory are also provided.
Starting Page	237
Ending Page	276
Page Count	40
File Format	PDF
ISSN	00223611
Journal	Journal of Philosophical Logic
Volume Number	45
Issue Number	3
e-ISSN	15730433
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-07-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Contraction Curry’s paradox Identity Leibniz’s law Naïve truth theory Naïve set theory Paraconsistent logic Relevant logic Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy

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Paths to Triviality