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Variations on intra-theoretical logical pluralism: internal versus external consequence
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Journal Article
Variations on intra-theoretical logical pluralism: internal versus external consequence
2020
Overview
Intra-theoretical logical pluralism is a form of meaning-invariant pluralism about logic, articulated recently by Hjortland (Australas J Philos 91(2):355–373,
2013
). This version of pluralism relies on it being possible to define several distinct notions of provability relative to the same logical calculus. The present paper picks up and explores this theme: How can a single logical calculus express several different consequence relations? The main hypothesis articulated here is that the divide between the internal and external consequence relations in Gentzen systems generates a form of intra-theoretical logical pluralism.
Publisher
Springer Netherlands,Springer Nature B.V
Subject
