A Four-Valued Logical Framework for Reasoning About Fiction

Logic and Logical Philosophy:1-32 (forthcoming)
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Abstract

In view of the limitations of classical, free, and modal logics to deal with fictional names, we develop in this paper a four-valued logical framework that we see as a promising strategy for modeling contexts of reasoning in which those names occur. Specifically, we propose to evaluate statements in terms of factual and fictional truth values in such a way that, say, declaring ‘Socrates is a man’ to be true does not come down to the same thing as declaring ‘Sherlock Holmes is a man’ to be so. As a result, our framework is capable of representing reasoning involving fictional characters that avoids evaluating statements according to the same semantic standards. The framework encompasses two logics that differ according to alternative ways one may interpret the relationships among the factual and fictional truth values.

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References found in this work

Truth in Fiction, Impossible Worlds, and Belief Revision.Francesco Berto & Christopher Badura - 2019 - Australasian Journal of Philosophy 97 (1):178-193.
Sense and reference.Gottlob Frege - 1948 - Philosophical Review 57 (3):209-230.
Understanding demonstratives.Gareth Evans - 1981 - In Herman Parret & Jacques Bouveresse (eds.), Meaning and Understanding. Berlin: de Gruyter. pp. 280--304.
Against Fictional Realism.Anthony Everett - 2005 - Journal of Philosophy 102 (12):624-649.
Quantificational Logic and Empty Names.Andrew Bacon - 2013 - Philosophers' Imprint 13.

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