NDLI: Extensions of Priest-da Costa Logic

Content Provider	Springer Nature Link
Author	Ferguson, Thomas Macaulay
Copyright Year	2013
Abstract	In this paper, we look at applying the techniques from analyzing superintuitionistic logics to extensions of the cointuitionistic Priest-da Costa logic daC (introduced by Graham Priest as “da Costa logic”). The relationship between the superintuitionistic axioms- definable in daC- and extensions of Priest-da Costa logic (sdc-logics) is analyzed and applied to exploring the gap between the maximal si-logic SmL and classical logic in the class of sdc-logics. A sequence of strengthenings of Priest-da Costa logic is examined and employed to pinpoint the maximal non-classical extension of both daC and Heyting-Brouwer logic HB . Finally, the relationship between daC and Logics of Formal Inconsistency is examined.
Starting Page	145
Ending Page	174
Page Count	30
File Format	PDF
ISSN	00393215
Journal	Studia Logica
Volume Number	102
Issue Number	1
e-ISSN	15728730
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-03-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Da Costa logic Priest-da Costa logic Cointuitionistic Logic Heyting–Brouwer Logic Superintuitionistic Logic Logic Mathematical Logic and Foundations Computational Linguistics
Content Type	Text
Resource Type	Article
Subject	Logic History and Philosophy of Science

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Extensions of Priest-da Costa Logic