David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 31 (3):193-218 (2011)
Modern logicians have sought to unlock the modal secrets of Aristotle's Syllogistic by assuming a version of essentialism and treating it as a primitive within the semantics. These attempts ultimately distort Aristotle's ontology. None of these approaches make full use of tests found throughout Aristotle's corpus and ancient Greek philosophy. I base a system on Aristotle's tests for things that can never combine (polarity) and things that can never separate (inseparability). The resulting system not only reproduces Aristotle's recorded results for the apodictic syllogistic in the Prior Analytics but it also generates rather than assumes Aristotle's distinctions among 'necessary', 'essential' and 'accidental'. By developing a system around tests that are in Aristotle and basic to ancient Greek philosophy, the system is linked to a history of practices, providing a platform for future work on the origins of logic.
|Keywords||No keywords specified (fix it)|
|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
W. C. Kneale (1962/1984). The Development of Logic. Oxford University Press.
Jan Łukasiewicz (1957/1987). Aristotle's Syllogistic From the Standpoint of Modern Formal Logic. Garland Pub..
Robin Smith (1989). Aristotle's Prior Analytics. Hackett Publishing Company.
Scott G. Schreiber (2003). Aristotle on False Reasoning: Language and the World in the Sophistical Refutations. State University of New York Press.
David Charles (2002). Aristotle on Meaning and Essence. Oxford University Press.
Citations of this work BETA
D. Raymond (2014). Aristotle's Modal Syllogistic. History and Philosophy of Logic 35 (2):209-211.
Similar books and articles
George Boger (1998). Completion, Reduction and Analysis: Three Proof-Theoretic Processes in Aristotle'sprior Analytics. History and Philosophy of Logic 19 (4):187-226.
John Corcoran (2003). Aristotle's Prior Analytics and Boole's Laws of Thought. History and Philosophy of Logic. 24 (4):261-288.
Valentin Omelyantchik (1999). Aristotle's Extensional Modality: Hintikka's Intuitions, Lukasiewicz's Logic and Mignucci's Verdict. Theoria 14 (1):25-38.
Gisela Striker (2009). Aristotle's Prior Analytics Book I: Translated with an Introduction and Commentary. OUP Oxford.
Phil Corkum (forthcoming). Is Aristotle's Syllogistic a Logic? History and Philosophy of Logic.
Jonathan Lear (1980). Aristotle and Logical Theory. Cambridge University Press.
Henrik Lagerlund (2009). Avicenna and Ūsī on Modal Logic. History and Philosophy of Logic 30 (3):227-239.
Klaus J. Schmidt (2011). On the unity of modal syllogistics in Aristotle. Bochumer Philosophisches Jahrbuch Fur Antike Und Mittelalter 13 (1):54-86.
Richard Patterson (1990). Conversion Principles and the Basis of Aristotle's Modal Logic. History and Philosophy of Logic 11 (2):151-172.
Richard Patterson (1995). Aristotle's Modal Logic: Essence and Entailment in the Organon. Cambridge University Press.
Added to index2010-08-11
Total downloads34 ( #95,955 of 1,727,294 )
Recent downloads (6 months)1 ( #354,177 of 1,727,294 )
How can I increase my downloads?