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Intensional and Higher-Order Modal Logic

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Release : 2016-06-03
Genre : Mathematics
Kind : eBook
Book Rating : 73X/5 ( reviews)

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Book Synopsis Intensional and Higher-Order Modal Logic by : Daniel Gallin

Download or read book Intensional and Higher-Order Modal Logic written by Daniel Gallin. This book was released on 2016-06-03. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematics Studies, 19: Intensional and Higher-Order Modal Logic: With Applications to Montague Semantics focuses on an approach to the problem of providing a precise account of natural language syntax and semantics, including the set-theoretic semantical methods, Boolean models, and two-sorted type theory. The book first offers information on intensional logic and alternative formulations of intensional logic. Topics include two-sorted type theory, normal forms, extensions and intensional logic, modal T-logic, persistence in intensional logic, generalized completeness of intensional logic, and natural language and intensional logic. The text then examines higher-order modal logic and algebraic semantics. Discussions focus on Cohen's independence results, topological models of MLp, modal independence results, Boolean models of MLp, relative strength of intensional logic and MLp, propositional operators, modal predicate logic, and propositions in MLp. The monograph is a valuable reference for mathematicians and researchers interested in intensional and higher-order modal logic.

Intensional and Higher-order Modal Logic

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Author :
Release : 1975
Genre : Logic, Symbolic and mathematical
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Intensional and Higher-order Modal Logic by :

Download or read book Intensional and Higher-order Modal Logic written by . This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt:

Objects and Modalities

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Release : 2017-03-14
Genre : Philosophy
Kind : eBook
Book Rating : 190/5 ( reviews)

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Book Synopsis Objects and Modalities by : Tero Tulenheimo

Download or read book Objects and Modalities written by Tero Tulenheimo. This book was released on 2017-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs.

Modal Logic as Metaphysics

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Author :
Release : 2013-03-28
Genre : Philosophy
Kind : eBook
Book Rating : 07X/5 ( reviews)

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Book Synopsis Modal Logic as Metaphysics by : Timothy Williamson

Download or read book Modal Logic as Metaphysics written by Timothy Williamson. This book was released on 2013-03-28. Available in PDF, EPUB and Kindle. Book excerpt: Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.

Modal Logic

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Release : 2008-08-04
Genre : Philosophy
Kind : eBook
Book Rating : 635/5 ( reviews)

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Book Synopsis Modal Logic by : Nino B. Cocchiarella

Download or read book Modal Logic written by Nino B. Cocchiarella. This book was released on 2008-08-04. Available in PDF, EPUB and Kindle. Book excerpt: In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight. All of the S1-S5 modal logics of Lewis and Langford, among others, are constructed. A matrix, or many-valued semantics, for sentential modal logic is formalized, and an important result that no finite matrix can characterize any of the standard modal logics is proven. Exercises, some of which show independence results, help to develop logical skills. A separate sentential modal logic of logical necessity in logical atomism is also constructed and shown to be complete and decidable. On the first-order level of the logic of logical necessity, the modal thesis of anti-essentialism is valid and every de re sentence is provably equivalent to a de dicto sentence. An elegant extension of the standard sentential modal logics into several first-order modal logics is developed. Both a first-order modal logic for possibilism containing actualism as a proper part as well as a separate modal logic for actualism alone are constructed for a variety of modal systems. Exercises on this level show the connections between modal laws and quantifier logic regarding generalization into, or out of, modal contexts and the conditions required for the necessity of identity and non-identity. Two types of second-order modal logics, one possibilist and the other actualist, are developed based on a distinction between existence-entailing concepts and concepts in general. The result is a deeper second-order analysis of possibilism and actualism as ontological frameworks. Exercises regarding second-order predicate quantifiers clarify the distinction between existence-entailing concepts and concepts in general. Modal Logic is ideally suited as a core text for graduate and undergraduate courses in modal logic, and as supplementary reading in courses on mathematical logic, formal ontology, and artificial intelligence.

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