Philosophers' Imprint 20 (31):1-36 (2020)
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Abstract |
We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality.
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Keywords | Stoic Logic Multiple Generality First-order Logic Variable-free Logic Anaphora Stoic Semantics Stoic Linguistics |
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References found in this work BETA
On the Very Idea of a Conceptual Scheme.Donald Davidson - 1973 - Proceedings and Addresses of the American Philosophical Association 47:5-20.
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Citations of this work BETA
Frege Plagiarized the Stoics.Susanne Bobzien - 2021 - In Fiona Leigh (ed.), Themes in Plato, Aristotle, and Hellenistic Philosophy, Keeling Lectures 2011-2018. University of Chicago Press. pp. 149-206.
Psychological Disease and Action-Guiding Impressions in Early Stoicism.Simon Shogry - 2021 - British Journal for the History of Philosophy 29 (5):784-805.
Themes in Plato, Aristotle, and Hellenistic Philosophy, Keeling Lectures 2011-2018, OPEN ACCESS.Fiona Leigh (ed.) - 2021 - University of Chicago Press.
La Sintassi Del Cosmo: Osservazioni Su Un Volume Recente.Michele Alessandrelli - 2021 - Elenchos: Rivista di Studi Sul Pensiero Antico 42 (2):375-396.
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2020-12-05
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