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Journal of Symbolic Logic, 1962
Anyone who reads Aristotle, knowing something about modern logic and nothing about its history, must ask himself why the syllogistic cannot be translated as it stands into the logic of quantification. It is now more than twenty years since the invention of the requisite framework, the logic of many-sorted quantification.In the familiar first-order ...
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Anyone who reads Aristotle, knowing something about modern logic and nothing about its history, must ask himself why the syllogistic cannot be translated as it stands into the logic of quantification. It is now more than twenty years since the invention of the requisite framework, the logic of many-sorted quantification.In the familiar first-order ...
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1999
Aristotle is often blamed for developing the theory of syllogism instead of writing a Greek version of Frege’s Begriffsschrift. With hindsight, however, one must admit that he had a good reason for doing so: syllogism, and more generally monadic logic, is decidable whereas polyadic and even dyadic logic is undecidable. As van Heijenoort [10] points out,
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Aristotle is often blamed for developing the theory of syllogism instead of writing a Greek version of Frege’s Begriffsschrift. With hindsight, however, one must admit that he had a good reason for doing so: syllogism, and more generally monadic logic, is decidable whereas polyadic and even dyadic logic is undecidable. As van Heijenoort [10] points out,
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The Syllogism's Final Solution
Bulletin of Symbolic Logic, 1999In 1883, while a student of C. S. Peirce at Johns Hopkins University, Christine Ladd-Franklin published a paper titled On the Algebra of Logic, in which she develops an elegant and powerful test for the validity of syllogisms that constitutes the most significant advance in syllogistic logic in two thousand years.
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Aristotle’s Syllogism and Boethius’s Syllogism
Journal of the Daedong Philosophical Association, 2018openaire +1 more source