Aristotle and Lukasiewicz on existential import

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Abstract

Jan Lukasiewicz's treatise on Aristotle's Syllogistic, published in the 1950s, has been very influential in framing contemporary understanding of Aristotle's logical systems. However, Lukasiewicz's interpretation is based on a number of tendentious claims, not least, the claim that the syllogistic was intended to apply only to non-empty 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.
Original languageEnglish
Pages (from-to)535-544
Number of pages10
JournalJournal of the American Philosophical Association
Volume1
Issue number3
Early online date22 Sept 2015
DOIs
Publication statusPublished - 2015

Keywords

  • Aristotle
  • Square of opposition
  • Lukasiewicz
  • Empty terms

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