Negation and Quantification in Aristotle

History and Philosophy of Logic 11 (2):131-150 (1990)
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Abstract

Two main claims are defended. The first is that negative categorical statements are not to be accorded existential import insofar as they figure in the square of opposition. Against Kneale and others, it is argued that Aristotle formulates his o statements, for example, precisely to avoid existential commitment. This frees Aristotle's square from a recent charge of inconsistency. The second claim is that the logic proper provides much thinner evidence than has been supposed for what appears to be the received view, that is, for the view that insofar as they occur in syllogistic negative categoricals have existential import. At most there is a single piece of evidence in favor of the view?a special case of echthesis or the setting out of a case in proof

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Michael Wedin
University of California, Davis

Citations of this work

The Traditional Square of Opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
Aristotle and Łukasiewicz on Existential Import.Stephen Read - 2015 - Journal of the American Philosophical Association 1 (3):535--544.
Aristotle, Logic, and QUARC.Jonas Raab - 2018 - History and Philosophy of Logic 39 (4):305-340.

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References found in this work

The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press.
Elementary Logic.Benson Mates - 1965 - New York: Oxford University Press.
Formal Logic.Arthur N. Prior & Norman Prior - 1955 - Oxford University Press.
What is a Syllogism?Timothy J. Smiley - 1973 - Journal of Philosophical Logic 2 (1):136 - 154.

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