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Aristotle's Modal Proofs - Prior Analytics A8-22 in Predicate Logic (Paperback, 2011 ed.)
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Aristotle's Modal Proofs - Prior Analytics A8-22 in Predicate Logic (Paperback, 2011 ed.)
Series: The New Synthese Historical Library, 68
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Aristotle's modal syllogistic is his study of patterns of reasoning
about necessity and possibility. Many scholars think the modal
syllogistic is incoherent, a 'realm of darkness'. Others think it
is coherent, but devise complicated formal modellings to mimic
Aristotle's results. This volume provides a simple interpretation
of Aristotle's modal syllogistic using standard predicate logic.
Rini distinguishes between red terms, such as 'horse', 'plant' or
'man', which name things in virtue of features those things must
have, and green terms, such as 'moving', which name things in
virtue of their non-necessary features. By applying this
distinction to the "Prior Analytics," Rini shows how traditional
interpretive puzzles about the modal syllogistic melt away and the
simple structure of Aristotle's own proofs is revealed. The result
is an applied logic which provides needed links between Aristotle's
views of science and logical demonstration. The volume is
particularly valuable to researchers and students of the history of
logic, Aristotle's theory of modality, and the philosophy of logic
in general.
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