Aristotle and Łukasiewicz on Existential Import

Stephen Read

27 citations0/0 files storedJournal of the American Philosophical Association

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Classical Philosophy and Thought Medieval Philosophy and Theology Advanced Algebra and Logic

Abstract

ABSTRACT: Jan Łukasiewicz's treatise on Aristotle's Syllogistic, published in the 1950s, has been very influential in framing the contemporary understanding of Aristotle's logical systems. However, Łukasiewicz's interpretation is based on a number of tendentious claims, not least, on the claim that the syllogistic was intended to apply only to nonempty terms. I show that this interpretation is not true to Aristotle's text and that a more coherent and faithful interpretation admits empty terms while maintaining all the relations of the traditional square of opposition.

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References

1950III.—ON REFERRING 1962The Development of Logic 1968Aristotle’s Theory of the Syllogism 2001Summulae de dialectica 1973What is a syllogism?1961A history of formal logic 1965Logic, methodology and philosophy of science : proceedings of the 1964 International Congress 1974Aristotle’s Natural Deduction System

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