Analogical Deduction via a Calculus of Predicables

Philo 13 (1):53-66 (2010)
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Abstract

This article identifies and formalizes the logical features of analogous terms that justify their use in deduction. After a survey of doctrines in Aristotle, Aquinas, and Cajetan, the criteria of “analogy of proper proportionality” are symbolized in first-order predicate logic. A common genus justifies use of a common term, but does not provide the inferential link required for deduction. Rather, the respective differentiae foster this link through their identical proportion. A natural-language argument by analogy is formalized so as to exhibit these criteria, thereby showing the validity of analogical deduction.

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Joseph P. Li Vecchi
University of Akron

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