The Justification of the Basic Laws of Logic

Journal of Philosophical Logic 44 (6):793-803 (2015)
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Abstract

Take a correct sequent of formal logic, perhaps a simple logical truth, like the law of excluded middle, or something with premises, like disjunctive syllogism, but basically a claim of the form \.Γ can be empty. If you don’t like my examples, feel free to choose your own, everything I have to say should apply to those as well. Such a sequent attributes the properties of logical truth or logical consequence to a schematic sentence or argument. This paper aims to answer the question of how beliefs in such attributions are justified, on both its descriptive and normative interpretations; I aim to say when we generally take ourselves to be justified in forming such beliefs, and to make it plausible that beliefs formed this way really are justified.We can ask such questions about many domains but there are special difficulties for answering them in logic. Some of the difficulties stem from the fact that logic is thought t..

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Gillian Russell
Australian National University

Citations of this work

Anti-Exceptionalism about Logic.Ben Martin & Ole Hjortland - forthcoming - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger, Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.
Anti-exceptionalism about logic.Ole Thomassen Hjortland - 2017 - Philosophical Studies 174 (3):631-658.
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References found in this work

Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium.Saul Aaron Kripke - 1980 - Cambridge, MA: Harvard University Press. Edited by Darragh Byrne & Max Kölbel.
Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein, Themes From Kaplan. New York: Oxford University Press. pp. 481-563.
Change in View: Principles of Reasoning.Gilbert Harman - 1986 - Cambridge, MA, USA: MIT Press.
Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.

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