Variations on intra-theoretical logical pluralism: internal versus external consequence

Philosophical Studies:1-20 (forthcoming)
Authors
Bogdan Dicher
Universidade de Lisboa
Abstract
Intra-theoretical logical pluralism is a form of meaning-invariant pluralism about logic, articulated recently by Hjortland :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.
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DOI 10.1007/s11098-018-1199-z
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References found in this work BETA

Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.
Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.

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