The Stoic Distinction between Syllogisms and Subsyllogisms

Abstract: This paper aims to explain the distinction between syllogisms and subsyllogisms in Stoic logic. Subsyllogisms replace at least one premise in a syllogism with a premise that is, according to Galen and Alexander, equipollent to the respective syllogistic premise. This equipollence is not synonymy of meaning between two linguistic expressions, but obtains between two propositions when they are true or false by the same standard. Subsyllogistic premises are simple propositions that are equipollent to the non-simple premises of the respective syllogisms. For subsyllogistic premises that replace syllogistic premises consist of predicates combining with cases rather than of connectives or negations governing propositions. Because of this difference in their premises, subsyllogisms have a different logical form than syllogisms and are not formally valid.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
The Stoic Distinction between Syllogisms and Subsyllogisms ; volume:106 ; number:4 ; year:2024 ; pages:776-806 ; extent:31
Archiv für Geschichte der Philosophie ; 106, Heft 4 (2024), 776-806 (gesamt 31)

Creator
Ruge, Fabian

DOI
10.1515/agph-2022-0018
URN
urn:nbn:de:101:1-2411131557473.130250437620
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:25 AM CEST

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Associated

  • Ruge, Fabian

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