Avicenna and ūsī on Modal Logic

History and Philosophy of Logic 30 (3):227-239 (2009)
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Abstract

In this article, the author studies some central concepts in Avicenna's and sī's modal logics as presented in Avicenna's Al-Ish r t wa'l Tan īh t ( Pointers and Reminders ) and in sī's commentary. In this work, Avicenna introduces some remarkable distinctions in order to interpret Aristotle's modal syllogistic in the Prior Analytics . The author outlines a new interpretation of absolute sentences as temporally indefinite sentences and argues on the basis of this that Avicenna seems to subscribe to the Principle of Plenitude. He also shows that he has no valid proof of the modal conversion rules and that he uses some rather ad hoc distinctions to show that Aristotle's modal syllogistic is correct. The author also notes some interesting differences between Avicenna's and sī's approaches to modal logic

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Henrik Lagerlund
Stockholm University

References found in this work

Prior Analytics. Aristotle & Robin Smith - 1989 - New York: Kessinger Publishing. Edited by Gisela Striker.
Time and Necessity: Studies in Aristotle’s Theory of Modality.Jaakko Hintikka - 1973 - Revue Philosophique de la France Et de l'Etranger 166 (2):227-227.
History of Christian philosophy in the Middle Ages.Étienne Gilson - 1955 - [Washington, DC]: CAU [Catholic University of America Press].

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