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Being qua being : a theory of identity, existence, and predication.
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ISBN: 0585215200 9780585215204 0253137004 9780253137005 Year: 1979 Publisher: Bloomington Indiana university press

The grammar of adverbials : a study in the semantics and syntax of adverbial constructions
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ISBN: 0444109641 0720462061 9780444109644 Year: 1976 Volume: 16 Publisher: Amsterdam North-Holland

Plural predication
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ISBN: 0199278148 9780199278145 019170797X 9786610905904 0191535206 1280905905 1435623460 Year: 2006 Publisher: Oxford Clarendon

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Abstract

Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book will be of great interest to philosophers of language, linguists, metaphysicians, and logicians.


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A proof theory for description logics
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ISBN: 144714001X 1447140028 9786613703453 1280793066 Year: 2012 Publisher: London : Springer,

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Description Logics (DLs) is a family of formalisms used to represent knowledge of a domain. They are equipped with a formal logic-based semantics. Knowledge representation systems based on description logics provide various inference capabilities that deduce implicit knowledge from the explicitly represented knowledge. A Proof Theory for Description Logics introduces Sequent Calculi and Natural Deduction for some DLs (ALC, ALCQ). Cut-elimination and Normalization are proved for the calculi. The author argues that such systems can improve the extraction of computational content from DLs proofs for explanation purposes.


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Logica: Metodo Breve
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ISBN: 8847018838 8847018846 Year: 2011 Publisher: Milano : Springer Milan : Imprint: Springer,

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Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Gödel, Löwenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa. Per facilitare la lettura attiva, il testo contiene numerosi esercizi.


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Aristotle's Modal Syllogistic
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ISBN: 9780674724549 0674724542 0674726359 0674727541 9780674726352 9780674727540 Year: 2013 Publisher: Cambridge, MA

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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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