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Apeiron

A Journal for Ancient Philosophy and Science

Ed. by Wildberg, Christian / Morison, Benjamin

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2156-7093
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Volume 51, Issue 2

Issues

Empty Negations and Existential Import in Aristotle

Phil Corkum
  • Corresponding author
  • Department of Philosophy, University of Alberta, 2-40 Assiniboia, Edmonton, Alberta T6G 2R3, Canada
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Published Online: 2018-03-30 | DOI: https://doi.org/10.1515/apeiron-2017-0018

Abstract

Aristotle draws what are, by our lights, two unusual relationships between predication and existence. First, true universal affirmations carry existential import. If ‘All humans are mortal’ is true, for example, then at least one human exists. And secondly, although affirmations with empty terms in subject position are all false, empty negations are all true: if ‘Socrates’ lacks a referent, then both ‘Socrates is well’ and ‘Socrates is ill’ are false but both ‘Socrates is not well’ and ‘Socrates is not ill’ are true. In this paper, I conjecture that for Aristotle predications have mereological truth conditions: for example, ‘Socrates is pale’ is true just in case Socrates is a part of the mereological sum of pale things. The existential import of universal affirmations and the semantic profile of empty negations follow from this mereological semantics.

Keywords: Aristotle; existential import; negation

References

  • Ackrill, J. L. 1963. Aristotle’s Categories and De Interpretatione: Translated with Notes and Glossary. Oxford: Clarendon.Google Scholar

  • Aristotle. 1928. “Categorae Transl. E. M. Edghill.” In The Works of Aristotle, edited by W. D. Ross and J. A. Smith. Oxford: Oxford University Press.Google Scholar

  • Arlig, A. 2015. “Medieval Mereology.” In The Stanford Encyclopedia of Philosophy (Fall 2015 Edition), edited by E. N. Zalta. http://plato.stanford.edu/archives/win2008/entries/mereology-medieval/.

  • Bäck, A. 1990. Aristotle’s Theory of Predication. Leiden: Brill.Google Scholar

  • Carson, S. 2000. “Aristotle on Existential Import and Nonreferring Subjects.” Synthese 124:343–360.CrossrefGoogle Scholar

  • Corkum, P. 2015. “Aristotle on Predication.” European Journal of Philosophy 23:793–813.CrossrefWeb of ScienceGoogle Scholar

  • Dancy, J. 1975. Sense and Contradiction. Boston: Reidel.Google Scholar

  • Hintikka, J. 1986. “The Varieties of Being in Aristotle.” In The Logic of Being: Historical Studies, edited by S. Knuuttila and J. Hintikka. Dordrecht: Springer Netherlands.Google Scholar

  • Jacobs, W. 1979. “Aristotle and Nonreferring Subjects.” Phronesis 24:282–300.CrossrefGoogle Scholar

  • Kahn, C. 2009. Essays on Being. Oxford: Oxford University Press.Google Scholar

  • Kirk, G. S., J. E. Raven, and M. Schofield. 1984. The Presocratic Philosophers. Cambridge: Cambridge University Press.Google Scholar

  • Kirwan, C. 1993. Aristotle Metaphysics Books Gamma, Delta and Epsilon, 2nd ed. Oxford: Clarendon.Google Scholar

  • Lewis, D. 1991. Parts of Classes. Oxford: Blackwell.Google Scholar

  • Malink, M. 2009. “A Non-Extensional Notion of Conversion in the Organon.” Oxford Studies in Ancient Philosophy 37:105–141.Google Scholar

  • Malink, M. 2013. Aristotle’s Modal Syllogistic. Harvard: Harvard University Press.Google Scholar

  • Mignucci, M. 1996. “Aristotle’s Theory of Predication.” In Studies on the History of Logic. Proceedings of the III. Symposium on the History of Logic, edited by A. Ignacio and C. María. Berlin: Walter de Gruyter.Google Scholar

  • Owen, G. E. L. 1965. “Snares of Ontology.” In New Essays on Plato and Aristotle, edited by R. Brambaugh. London: Routledge and Kegan Paul.Google Scholar

  • Parsons, T. 2008. “The Traditional Square of Opposition.” In The Stanford Encyclopedia of Philosophy (Fall 2008 Edition), edited by E. N. Zalta. http://plato.stanford.edu/archives/fall2008/entries/square/.

  • Peters, S., and D. Westerståhl. 2008. Quantifiers in Language and Logic. Oxford: Oxford University Press.Google Scholar

  • Thompson, M. 1953. “On Aristotle’s Square of Opposition.” The Philosophical Review 62:251–65.Google Scholar

  • Tweedale, M. 1987. “Aristotle’s Universals.” Australasian Journal of Philosophy 65:412–426.CrossrefGoogle Scholar

  • Wedin, M. 1978. “Aristotle on the Existential Import of Singular Sentences.” Phronesis 23:179–196.CrossrefGoogle Scholar

About the article

Published Online: 2018-03-30

Published in Print: 2018-03-26


Citation Information: Apeiron, Volume 51, Issue 2, Pages 201–219, ISSN (Online) 2156-7093, ISSN (Print) 0003-6390, DOI: https://doi.org/10.1515/apeiron-2017-0018.

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