Chapter

Core Logic is the Inviolable Core of Logic

Neil Tennant

in Changes of Mind

Published in print June 2012 | ISBN: 9780199655755
Published online September 2012 | e-ISBN: 9780191742125 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199655755.003.0008
Core Logic is the Inviolable Core of Logic

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This chapter gives a novel argument for the inviolability of the principles of Core Logic. This is very anti-Quinean. If any of those principles were to be surrendered, then the rational agent would not be able to undertake the operations that are required in the process of rational belief change. The argument turns on the requirement of a certain reflexive philosophical stability. The argument is completely novel, and possible to advance only within the context of the account of rational belief change offered here. This arguments is regarded as rounding out, and completing, the many-faceted case – philosophical, mathematical, computational, and, now, revision-theoretic – for the correctness of Core Logic (also known, and described in his earlier publications, as intuitionistic relevant logic). The argument presented here, to the effect that the principles of Core Logic are indeed the core principles of logic, justifies this attractive change of name for the logical system in question.

Keywords: Core Logic; reflexive stability; inviolable core

Chapter.  5827 words. 

Subjects: Philosophy of Mathematics and Logic

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