Avicenna on Possibility and Necessity

History and Philosophy of Logic 35 (4):332-353 (2014)
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Abstract

In this paper, I raise the following problem: How does Avicenna define modalities? What oppositional relations are there between modal propositions, whether quantified or not? After giving Avicenna's definitions of possibility, necessity and impossibility, I analyze the modal oppositions as they are stated by him. This leads to the following results: The relations between the singular modal propositions may be represented by means of a hexagon. Those between the quantified propositions may be represented by means of two hexagons that one could relate to each other.This is so because the exact negation of the bilateral possible, i.e. ‘necessary or impossible’ is given and applied to the quantified possible propositions.Avicenna distinguishes between the scopes of modality which can be either external or internal . His formulations are external unlike al-F̄ar̄ab̄;’s ones. However his treatment of modal oppositions remains incomplete because not all the relations between the modal propositi..

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Citations of this work

Metalogical Decorations of Logical Diagrams.Lorenz Demey & Hans Smessaert - 2016 - Logica Universalis 10 (2-3):233-292.
Existential import in avicenna's modal logic.Saloua Chatti - 2016 - Arabic Sciences and Philosophy 26 (1):45-71.
Boolean considerations on John Buridan's octagons of opposition.Lorenz Demey - 2018 - History and Philosophy of Logic 40 (2):116-134.

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References found in this work

An introduction to modal logic.G. E. Hughes - 1968 - London,: Methuen. Edited by M. J. Cresswell.
Modal Logic.James W. Garson - 2009 - Stanford Encyclopedia of Philosophy.
The traditional square of opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
Sur l'opposition des concepts.Robert Blanche - 1953 - Theoria 19 (3):89-130.

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