Source: Notre Dame J. Formal Logic
Volume 39, Number 4
Aristotle's modal syllogistic has been described
as "incoherent," "a failure," "a realm of darkness." Even the
gentler critics claim that it is inconsistent. I offer an
interpretation according to which validity in the modal
syllogistic is always obtained by substituting modal terms in the
nonmodal syllogistic, and restricting the principles of modal
conversion. In this paper I discuss the apodeictic syllogistic,
showing that the restrictions I propose are powerful enough to
do all the work Aristotle requires and, in fact, are supported by a
close analysis of Aristotle's text. The upshot of this is that
there is for Aristotle no separate modal syllogistic.
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