Applied Logic without Psychologism

Studia Logica 88 (1):137-156 (2008)

Gregory Wheeler
Frankfurt School Of Finance And Management
Logic is a celebrated representation language because of its formal generality. But there are two senses in which a logic may be considered general, one that concerns a technical ability to discriminate between different types of individuals, and another that concerns constitutive norms for reasoning as such. This essay embraces the former, permutation-invariance conception of logic and rejects the latter, Fregean conception of logic. The question of how to apply logic under this pure invariantist view is addressed, and a methodology is given. The pure invariantist view is contrasted with logical pluralism, and a methodology for applied logic is demonstrated in remarks on a variety of issues concerning non-monotonic logic and non-monotonic inference, including Charles Morgan’s impossibility results for non-monotonic logic, David Makinson’s normative constraints for non-monotonic inference, and Igor Douven and Timothy Williamson’s proposed formal constraints on rational acceptance.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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DOI 10.1007/s11225-008-9095-8
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References found in this work BETA

Modal Logic: An Introduction.Brian F. Chellas - 1980 - Cambridge University Press.
Change in View.Gilbert Harman - 1986 - MIT Press.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford University Press.

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Models, Models, and Models.Gregory Wheeler - 2013 - Metaphilosophy 44 (3):293-300.

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