Aristotle and Lukasiewicz on existential import
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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.
Read , S 2015 , ' Aristotle and Lukasiewicz on existential import ' Journal of the American Philosophical Association , vol 1 , no. 3 , pp. 535-544 . DOI: 10.1017/apa.2015.8
Journal of the American Philosophical Association
Copyright © American Philosophical Association 2015. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at http://dx.doi.org/10.1017/apa.2015.8
This work was initially supported by Research Grant AH/F018398/1 (Foundations of Logical Consequence) from the Arts and Humanities Research Council, UK.