Logical pluralism

Book chapter


Russell, Gillian. (2019). Logical pluralism. In In Zalta, Edward N. (Ed.). Stanford encyclopedia of philosophy pp. 1-16 Stanford University Press.
AuthorsRussell, Gillian
EditorsZalta, Edward N.
Abstract

[Excerpt] Logical pluralism is the view that there is more than one correct logic. Logics are theories of validity: they tell us, for different arguments, whether or not that argument is of a valid form. Different logics disagree about which argument forms are valid.[1] For example, logics like Classical and Strong Kleene logic tell us that that ex falso quodlibet, the argument form below, is valid:

A
¬ A
B
However Relevant logics and other Paraconsistent logics say that this argument form is not valid. It’s natural to think that they can’t all be right. If ex falso quodlibet is valid, then the Relevant and Paraconsistent logics are not correct theories of validity, or as we might say, they are not correct logics. Alternatively, if ex falso quodlibet is not valid, then Classical logic and Strong Kleene logic are not correct. Logical pluralism takes many forms, but the most philosophically interesting and controversial forms of the view hold that more than one logic can be correct, that is: logics L1 and L2 can disagree about which arguments are valid, and both can be getting things right.

Page range1-16
Year2019
Book titleStanford encyclopedia of philosophy
PublisherStanford University Press
ISSN1095-5054
Web address (URL)https://plato.stanford.edu/entries/logical-pluralism/
Research or scholarlyResearch
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All rights reserved
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Output statusPublished
Publication dates
Online10 Jan 2019
Publication process dates
Deposited27 Oct 2021
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