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The Assertoric Syllogistic

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Chapter Summary

Robert Kilwardby expounds the doctrine of non-modal syllogisms, taking as given the Aristotelian list of perfect moods and the Aristotelian methods of perfecting the imperfect moods. He formulates general principles applying to all syllogisms, and special principles on the basis of which the fruitful premise-pairs in each Figure can be computed, and he defends the valid moods against pretended objections. His integration of various ideas into the assertoric syllogistic is in most cases convincing. The valid syllogisms resulting from the useful premise-pairs are Barbara, Celarent, Darii and Ferio. In all four syllogisms the conclusion is assimilated to the premises in the manner noted by which Kilwardby. Evidently, the principles which Kilwardby's reasoning establishes are those underlying Aristotle's methods of perfection, not those underlying all possible methods of perfection. Most of the principles are to be found in the Dialectica Monacensis, and are also used there to determine the useful premise-pairs.

Keywords: Aristotle; assertoric syllogism; Dialectica Monacensis; Robert Kilwardby



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