On preserving

Logica Universalis 1 (2):295-310 (2007)
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Abstract

.  This paper examines the underpinnings of the preservationist approach to characterizing inference relations. Starting with a critique of the ‘truth-preservation’ semantic paradigm, we discuss the merits of characterizing an inference relation in terms of preserving consistency. Finally we turn our attention to the generalization of consistency introduced in the early work of Jennings and Schotch, namely the concept of level.

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Author Profiles

Peter Schotch
Dalhousie University
Gillman Payette
University of Calgary

Citations of this work

Against logical generalism.Nicole Wyatt & Gillman Payette - 2019 - Synthese 198 (Suppl 20):4813-4830.
Cut elimination for entailment relations.Davide Rinaldi & Daniel Wessel - 2019 - Archive for Mathematical Logic 58 (5):605-625.
Getting the Most Out of Inconsistency.Gillman Payette - 2015 - Journal of Philosophical Logic 44 (5):573-592.
A Certain Version of Preservationism.Michał Makaś - 2017 - Logic and Logical Philosophy 26 (1):63-77.

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References found in this work

The collected papers of Gerhard Gentzen.Gerhard Gentzen - 1969 - Amsterdam,: North-Holland Pub. Co.. Edited by M. E. Szabo.

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