Why a Logic is not only its Set of Valid Inferences

Análisis Filosófico 41 (2):261-272 (2021)
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Abstract

The main idea that we want to defend in this paper is that the question of what a logic is should be addressed differently when structural properties enter the game. In particular, we want to support the idea according to which it is not enough to identify the set of valid inferences to characterize a logic. In other words, we will argue that two logical theories could identify the same set of validities, but not be the same logic.

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Author Profiles

Eduardo Alejandro Barrio
Universidad de Buenos Aires (UBA)
Federico Pailos
Universidad de Buenos Aires (UBA)

Citations of this work

Substructural heresies.Bogdan Dicher - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
Responses.David Ripley - 2021 - Análisis Filosófico 41 (2):351-373.

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References found in this work

Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
ST, LP and Tolerant Metainferences.Bogdan Dicher & Francesco Paoli - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 383-407.
Truth without contra(di)ction.Elia Zardini - 2011 - Review of Symbolic Logic 4 (4):498-535.
Structural Reflexivity and the Paradoxes of Self-Reference.Rohan French - 2016 - Ergo: An Open Access Journal of Philosophy 3.

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