Modal Ecthesis

History and Philosophy of Logic 14 (2):171-182 (1993)
Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.
Keywords ecthesis  Thom  L-X-M
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DOI 10.1080/01445349308837216
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Apodeictic Syllogisms: Deductions and Decision Procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.

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