Stoic logic and multiple generality

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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Author Profiles

Susanne Bobzien
Oxford University
Simon Shogry
Oxford University

Citations of this work

Vagueness and Kataleptic Impressions.Katja Maria Vogt - 2022 - Aristotelian Society Supplementary Volume 96 (1):165-183.
Psychological Disease and Action-Guiding Impressions in Early Stoicism.Simon Shogry - 2021 - British Journal for the History of Philosophy 29 (5):784-805.
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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References found in this work

Studies in the Way of Words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press.
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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