Philosophers' Imprint 20 (31):1-36 (2020)

Authors
Susanne Bobzien
Oxford University
Simon Shogry
Oxford University
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.
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

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The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
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Citations of this work BETA

Psychological Disease and Action-Guiding Impressions in Early Stoicism.Simon Shogry - forthcoming - British Journal for the History of Philosophy:1-22.

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