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Appendix Kilwardby And Modern Logic

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Chapter Summary

It is a sign of Robert Kilwardby's genius that many of his ideas call for development within the framework of modern logic. These ideas include his notion of a "natural" proposition, his use of the notion of appropriation in systematizing the mixed assertoric/necessity-syllogisms, his doubts about mixed contingency/necessity moods in the second Figure, and a comment he makes on a pons asinorum for modal propositions. Kilwardby also believes that the class of perfectible inferences properly includes the class of (Aristotelian) syllogisms. Judgments about whether an inference is syllogistic are based on a number of principles which Kilwardby (following Aristotle) formulates for each significant combination of modalized or unmodalized premises. Kilwardby takes all contingency-propositions, other than those which deny the contingency of some state of affairs, to be affirmative. Aristotle puts up the principles as generating the premisepairs yielding a syllogistic conclusion.

Keywords: Aristotle; modal propositions; modern logic; Robert Kilwardby; syllogisms



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