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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.
Interest in the metaphysics and logic of possible worlds goes back
at least as far as Aristotle, but few books address the history of
these important concepts. This volume offers new essays on the
theories about the logical modalities (necessity and possibility)
held by leading philosophers from Aristotle in ancient Greece to
Rudolf Carnap in the twentieth century. The story begins with an
illuminating discussion of Aristotle's views on the connection
between logic and metaphysics, continues through the Stoic and
mediaeval (including Arabic) traditions, and then moves to the
early modern period with particular attention to Locke and Leibniz.
The views of Kant, Peirce, C. I. Lewis and Carnap complete the
volume. Many of the essays illuminate the connection between the
historical figures studied, and recent or current work in the
philosophy of modality. The result is a rich and wide-ranging
picture of the history of the logical modalities.
Interest in the metaphysics and logic of possible worlds goes back
at least as far as Aristotle, but few books address the history of
these important concepts. This volume offers new essays on the
theories about the logical modalities (necessity and possibility)
held by leading philosophers from Aristotle in ancient Greece to
Rudolf Carnap in the twentieth century. The story begins with an
illuminating discussion of Aristotle's views on the connection
between logic and metaphysics, continues through the Stoic and
mediaeval (including Arabic) traditions, and then moves to the
early modern period with particular attention to Locke and Leibniz.
The views of Kant, Peirce, C. I. Lewis and Carnap complete the
volume. Many of the essays illuminate the connection between the
historical figures studied, and recent or current work in the
philosophy of modality. The result is a rich and wide-ranging
picture of the history of the logical modalities.
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