Three-membered domains for Aristotle's syllogistic
Studia Logica 50 (2):181 - 187 (1991)
| Abstract | The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism. | |||||||||
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Philip Hugly & Charles Sayward (1987). Domains of Discourse. Logique Et Analyse 117:173-176.
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Mauro Nasti De Vincentis (2004). From Aristotle's Syllogistic to Stoic Conditionals: Holzwege or Detectable Paths? Topoi 23 (1):113-137.
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Hermann Weidemann (2004). Aristotle on the Reducibility of All Valid Syllogistic Moods to the Two Universal Moods of the First Figure (APrA7, 29b1–25). [REVIEW] History and Philosophy of Logic 25 (1):73-78.
Mariska Leunissen (forthcoming). Aristotle’s Syllogistic Model of Knowledge and the Biological Sciences: Demonstrating Natural Processes. In J. Lesher (ed.), From Inquiry to Demonstrative Knowledge: Essays on Aristotle’s Posterior Analytics, Apeiron, vol. 43, no. 2-3. Kelowna.
S. N. Furs (1987). Computation of Aristotle's and Gergonne's Syllogisms. Studia Logica 46 (3):209 - 225.
Richard Patterson (1990). Conversion Principles and the Basis of Aristotle's Modal Logic. History and Philosophy of Logic 11 (2):151-172.
Phil Corkum (forthcoming). Is Aristotle's Syllogistic a Logic? History and Philosophy of Logic.
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