Term Kinds and the Formality of Aristotelian Modal Logic

History and Philosophy of Logic 38 (2):99-126 (2017)

Joshua Mendelsohn
Universität Leipzig
Recent formalizations of Aristotle's modal syllogistic have made use of an interpretative assumption with precedent in traditional commentary: That Aristotle implicitly relies on a distinction between two classes of terms. I argue that the way Rini employs this distinction undermines her attempt to show that Aristotle gives valid proofs of his modal syllogisms. Rini does not establish that Aristotle gives valid proofs of the arguments which she takes to best represent Aristotle's modal syllogisms, nor that Aristotle's modal syllogisms are instances of any other system of schemata that could be used to define an alternative notion of validity. On the other hand, I argue, Robert Kilwardby's ca. 1240 commentary on the Prior Analytics makes use of a term-kind distinction so as to provide truth conditions for Aristotle's necessity propositions which render Aristotle's conversion rules and first figure modal syllogisms formally valid. I reconstruct a suppositio semantics for syllogistic necessity propositions based on Kilwardby's text, and yield a consequence relation which validates key results in the assertoric, pure necessity and mixed necessity-assertoric syllogistics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2017
DOI 10.1080/01445340.2016.1247321
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 43,836
Through your library

References found in this work BETA

What Does It Mean to Say That Logic is Formal?John MacFarlane - 2000 - Dissertation, University of Pittsburgh
The Development of Logic.A. R. Lacey, W. Kneale & M. Kneale - 1964 - Journal of Hellenic Studies 84:194-195.
The Different Ways in Which Logic is (Said to Be) Formal.Catarina Dutilh Novaes - 2011 - History and Philosophy of Logic 32 (4):303 - 332.
Truth, Etc.Jonathan Barnes - 2007 - Bulletin of Symbolic Logic 13 (4):549-552.

View all 31 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Modal Propositions in Aristotle's Syllogistic.Adriane Allison Rini - 1997 - Dissertation, University of Massachusetts Amherst
Is There a Modal Syllogistic?Adriane A. Rini - 1998 - Notre Dame Journal of Formal Logic 39 (4):554-572.
Conversion Principles and the Basis of Aristotle's Modal Logic.Richard Patterson - 1990 - History and Philosophy of Logic 11 (2):151-172.
A Reconstruction of Aristotle's Modal Syllogistic.Marko Malink - 2006 - History and Philosophy of Logic 27 (2):95-141.
Avicenna and Ūsī on Modal Logic.Henrik Lagerlund - 2009 - History and Philosophy of Logic 30 (3):227-239.
The Modal Logic of Albert of Saxony.Pamela Ely - 1981 - Dissertation, University of Toronto (Canada)
How to Base Apodeictic Syllogistic on Essentialist Theory.Paul Thom - 1998 - Logical Analysis and History of Philosophy 1.
Aristotle on Modality and Predicative Necessity.Jean-Louis Hudry - 2013 - International Philosophical Quarterly 53 (1):5-21.
S4 and Aristotle on Three Syllogisms with Contingent Premisses.Charles J. Kelly - 2002 - Journal of Philosophical Research 27:405-431.


Added to PP index

Total views
27 ( #319,341 of 2,266,097 )

Recent downloads (6 months)
2 ( #601,470 of 2,266,097 )

How can I increase my downloads?


My notes

Sign in to use this feature