The Development Of Modal Reasoning PDF Download
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Author | : James W. Garson |
Publisher | : Cambridge University Press |
Total Pages | : 429 |
Release | : 2006-08-14 |
Genre | : Mathematics |
ISBN | : 0521682290 |
Download Modal Logic for Philosophers Book in PDF, ePub and Kindle
This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.
Author | : Gilberte Piéraut-Le Bonniec |
Publisher | : |
Total Pages | : 202 |
Release | : 1980 |
Genre | : Modality (Logic) |
ISBN | : |
Download The Development of Modal Reasoning Book in PDF, ePub and Kindle
Author | : James W. Garson |
Publisher | : Cambridge University Press |
Total Pages | : 505 |
Release | : 2013-11-25 |
Genre | : Philosophy |
ISBN | : 1107512301 |
Download Modal Logic for Philosophers Book in PDF, ePub and Kindle
This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.
Author | : Max Cresswell |
Publisher | : Cambridge University Press |
Total Pages | : 365 |
Release | : 2016-09-15 |
Genre | : Mathematics |
ISBN | : 1316760456 |
Download Logical Modalities from Aristotle to Carnap Book in PDF, ePub and Kindle
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.
Author | : Nino B. Cocchiarella |
Publisher | : Oxford University Press |
Total Pages | : 283 |
Release | : 2008-08-04 |
Genre | : Philosophy |
ISBN | : 0199710635 |
Download Modal Logic Book in PDF, ePub and Kindle
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.
Author | : Gilberte Piéraut-Le Bonniec |
Publisher | : |
Total Pages | : 200 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Download The Development of Modal Reasoning Book in PDF, ePub and Kindle
Author | : Alfred North Whitehead |
Publisher | : |
Total Pages | : 688 |
Release | : 1910 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Principia Mathematica Book in PDF, ePub and Kindle
Author | : Johan van Benthem |
Publisher | : Cambridge University Press |
Total Pages | : 387 |
Release | : 2011-09-29 |
Genre | : Mathematics |
ISBN | : 1139500465 |
Download Logical Dynamics of Information and Interaction Book in PDF, ePub and Kindle
This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book develops a mathematical theory unifying all these systems, and positioning them at the interface of logic, philosophy, computer science and game theory. A series of further chapters explores repercussions of the 'dynamic stance' for these areas, as well as cognitive science.
Author | : James W. Garson |
Publisher | : Cambridge University Press |
Total Pages | : 505 |
Release | : 2013-11-25 |
Genre | : Computers |
ISBN | : 1107029554 |
Download Modal Logic for Philosophers Book in PDF, ePub and Kindle
The second edition of an accessible yet technically sound treatment of modal logic and its philosophical applications.
Author | : M.J. Cresswell |
Publisher | : Routledge |
Total Pages | : 432 |
Release | : 2012-08-06 |
Genre | : Philosophy |
ISBN | : 1134800282 |
Download A New Introduction to Modal Logic Book in PDF, ePub and Kindle
This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: An Introduction to Modal Logic and A Companion to Modal Logic. A New Introduction to Modal Logic is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic.