David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Oxford Studies in Ancient Philosophy 14:133-92 (1996)
ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out.
|Keywords||syllogistic Stoic logic tableau method cut rule antilogism theories of deduction relevant logic Stoic indemonstrables Stoic themata|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Susanne Bobzien (1999). Logic: The Stoics (Part Two). In Keimpe Algra, Jonathan Barnes & et al (eds.), The Cambridge History of Hellenistic Philosophy. CUP.
Susanne Bobzien (2003). Stoic Logic. In Brad Inwood (ed.), The Cambridge Companion to Stoic Philosophy. Cambridge University Press.
Susanne Bobzien (2014). Alexander of Aphrodisias on Aristotle's Theory of the Stoic Indemonstrables. In M. Lee (ed.), Strategies of Argument: Essays in Ancient Ethics, Epistemology, and Logic. OUP. 199-227.
Susanne Bobzien (2006). Logic, History Of: Ancient Logic. In Donald M. Borchert (ed.), Encyclopedia of Philosophy. Thomson Gale.
Susanne Bobzien (2002). Pre-Stoic Hypothetical Syllogistic in Galen. The Bulletin of the Institute of Classical Studies:57-72.
Susanne Bobzien (1997). The Stoics on Hypotheses and Hypothetical Arguments. Phronesis 42 (3):299-312.
Susanne Bobzien (2002). The Development of Modus Ponens in Antiquity: From Aristotle to the 2nd Century AD. Phronesis 47 (4):359 - 394.
Susanne Bobzien (1999). Logic: The Stoics (Part One). In Keimpe Algra & et al (eds.), The Cambridge History of Hellenistic Philosophy. Cambridge University Press.
Susanne Bobzien (2002). The Development of Modus Ponens in Antiquity: From Aristotle to the 2nd Century AD. Phronesis 47 (4):359-394.
Phil Corkum (forthcoming). Is Aristotle's Syllogistic a Logic? History and Philosophy of Logic.
Added to index2010-09-24
Total downloads122 ( #7,403 of 1,098,981 )
Recent downloads (6 months)10 ( #19,089 of 1,098,981 )
How can I increase my downloads?