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Logical pluralism

Russell, Gillian
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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.
Keywords
Date
2019
Type
Book chapter
Journal
Book
Stanford encyclopedia of philosophy
Volume
Issue
Page Range
1-16
Article Number
ACU Department
Dianoia Institute of Philosophy
Faculty of Theology and Philosophy
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DOI
Event URL
Open Access Status
License
All rights reserved
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Controlled
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