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On translating between logics.

Authors :
Dewar, Neil
Source :
Analysis. Oct2018, Vol. 78 Issue 4, p622-630. 9p.
Publication Year :
2018

Abstract

In a recent paper, Wigglesworth claims that syntactic criteria of theoretical equivalence are not appropriate for settling questions of equivalence between logical theories, since such criteria judge classical and intuitionistic logic to be equivalent; he concludes that logicians should use semantic criteria instead. However, this is an artefact of the particular syntactic criterion chosen, which is an implausible criterion of theoretical equivalence (even in the non-logical case). Correspondingly, there is nothing to suggest that a more plausible syntactic criterion should not be used to settle questions of equivalence between different logical theories; such a criterion (which may already be found in the literature) is exhibited and shown to judge classical and intuitionistic logic to be inequivalent. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00032638
Volume :
78
Issue :
4
Database :
Academic Search Index
Journal :
Analysis
Publication Type :
Academic Journal
Accession number :
132368420
Full Text :
https://doi.org/10.1093/analys/any001