Aristotle's Modal Syllogistic (Google eBook)

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Harvard University Press, Nov 1, 2013 - Philosophy
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Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity--and is today widely regarded as incoherent. Combining analytic rigor with keen sensitivity to historical context, Marko Malink makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle's philosophy. Aristotle's modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics--specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle's modal propositions, one that verifies the ancient philosopher's claims of the validity and invalidity of modal inferences. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts.
  

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Contents

Acknowledgments
The Assertoric Syllogistic
Categorical Propositions
The dictum de omni
The Orthodoxdictum Semantics
The Heterodox dictum Semantics
The Preorder Semantics
The Apodeictic Syllogistic
Essence Terms and Substance Terms
Universal Negative Necessity Propositions
Particular Necessity Propositions
The Validity of XQMMoods
TwoSided Possibility Propositions
OneSided Possibility Propositions
Aristotles Terms
Bibliography

The Apodeictic dictumde omni 8 Barbara NXN andthe Four Predicables

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