Some notes on the Aristotelian doctrine of opposition and the propositional calculus

Disputatio. Philosophical Research Bulletin 12 (26):53-70 (2023)
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Abstract

We develop some of Williamson’s ideas regarding how propositional calculus aids in comprehending Aristotelian logic. Specifically, we enhance the utilisation of truth tables to examine the structure of opposition diagrams. Using ‘conditioned truth tables’, we establish logical dependency relationships between the truth values of different propositions. This approach proves effective in interpreting various texts of the Organon concerning the doctrine of opposition.

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