More Reflections on Consequence

Logique Et Analyse 57 (227):223-258 (2014)
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Abstract

This special issue collects together nine new essays on logical consequence :the relation obtaining between the premises and the conclusion of a logically valid argument. The present paper is a partial, and opinionated,introduction to the contemporary debate on the topic. We focus on two influential accounts of consequence, the model-theoretic and the proof-theoretic, and on the seeming platitude that valid arguments necessarilypreserve truth. We briefly discuss the main objections these accounts face, as well as Hartry Field’s contention that such objections show consequenceto be a primitive, indefinable notion, and that we must reject the claim that valid arguments necessarily preserve truth. We suggest that the accountsin question have the resources to meet the objections standardly thought to herald their demise and make two main claims: (i) that consequence, as opposed to logical consequence, is the epistemologically significant relation philosophers should be mainly interested in; and (ii) that consequence is a paradoxical notion if truth is.

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Author Profiles

Massimiliano Carrara
University of Padua
Julien Murzi
University of Salzburg

References found in this work

Philosophical Explanations.Robert Nozick - 1981 - Harvard University Press.
The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: Oxford University Press.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.

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