History and Philosophy of Logic 40 (1):1-11 (2019)
AbstractHow does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness and completeness result that unifies the most important soundness and completeness results to date. Then I argue that this result vindicates the mereological interpretation. In contrast to previous interpretations, this argument shows how Aristotle’s conception of predication in mereological terms can do important logical work.
Similar books and articles
A Completed System for Robin Smith’s Incomplete Ecthetic Syllogistic.Pierre Joray - 2017 - Notre Dame Journal of Formal Logic 58 (3):329-342.
The Principle of Contradiction and Ecthesis in Aristotle's Syllogistic.Pierre Joray - 2014 - History and Philosophy of Logic 35 (3):219-236.
Aristotle’s Assertoric Syllogistic and Modern Relevance Logic.Philipp Julius6 Steinkrüger - 2015 - Synthese 192 (5):1413-1444.
Is There a Modal Syllogistic?Adriane A. Rini - 1998 - Notre Dame Journal of Formal Logic 39 (4):554-572.
Term Kinds and the Formality of Aristotelian Modal Logic.Joshua Mendelsohn - 2017 - History and Philosophy of Logic 38 (2):99-126.
An Interpretation of Aristotle's Syllogistic and a Certain Fragment of Set Theory in Propositional Calculi.Zdzislaw Dywan - 1984 - Bulletin of the Section of Logic 13 (2):85-88.
Essence and Necessity, and the Aristotelian Modal Syllogistic: A Historical and Analytical Study.Daniel James Vecchio - unknown
A Lattice for the Language of Aristotle's Syllogistic and a Lattice for the Language of Vasiľév's Syllogistic.Andrew Schumann - 2006 - Logic and Logical Philosophy 15 (1):17-37.
Remarks on Axiomatic Rejection in Aristotle’s Syllogistic.Piotr Kulicki - 2002 - Studies in Logic and Theory of Knowledge 5:231-236.
A Reconstruction of Aristotle's Modal Syllogistic.Marko Malink - 2006 - History and Philosophy of Logic 27 (2):95-141.
Modal Propositions in Aristotle's Syllogistic.Adriane Allison Rini - 1997 - Dissertation, University of Massachusetts Amherst
Added to PP
Historical graph of downloads
Citations of this work
The Discovery of Principles in Prior Analytics 1.30.Marko Malink - 2022 - Phronesis 67 (2):161-215.
Analysis in Prior Analytics I.45.Igor Martinjak - 2021 - History and Philosophy of Logic 43 (3):207-231.
References found in this work
Aristotle's Modal Syllogistic.Marko Malink - 2013 - Cambridge, MA and London: Harvard University Press.
Aristotle.Jonathan Barnes - 1975 - In R. M. Hare, Jonathan Barnes & Henry Chadwick (eds.), Founders of Thought. Oxford University Press.