Mereology in Aristotle's Assertoric Syllogistic

History and Philosophy of Logic 40 (1):1-11 (2019)
  Copy   BIBTEX

Abstract

How 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.
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.
Parry Syllogisms.Fred Johnson - 1999 - Notre Dame Journal of Formal Logic 40 (3):414-419.
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
Modal Ecthesis.Fred Johnson - 1993 - History and Philosophy of Logic 14 (2):171-182.
W sprawie pojęcia logiki klasycznej.Tadeusz Kwiatkowski - 2006 - Roczniki Filozoficzne 54 (2):87-117.

Analytics

Added to PP
2018-06-02

Downloads
212 (#57,564)

6 months
28 (#37,730)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Justin Vlasits
University of Illinois, Chicago

Citations of this work

Analysis in Prior Analytics I.45.Igor Martinjak - 2021 - History and Philosophy of Logic 43 (3):207-231.

Add more citations

References found in this work

Aristotle's Modal Syllogistic.Marko Malink - 2013 - Cambridge, MA and London: Harvard University Press.
What is a Syllogism?Timothy J. Smiley - 1973 - Journal of Philosophical Logic 2 (1):136 - 154.
Completeness of an Ancient Logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
Aristotle.Jonathan Barnes - 1975 - In R. M. Hare, Jonathan Barnes & Henry Chadwick (eds.), Founders of Thought. Oxford University Press.
Truth, Etc.Jonathan Barnes - 2007 - Bulletin of Symbolic Logic 13 (4):549-552.

View all 19 references / Add more references