Modal Matters in Interpretability Logics

Modal Matters in Interpretability Logics PDF Author: Evan Goris
Publisher:
ISBN: 9789039336977
Category :
Languages : en
Pages : 117

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Book Description

Modal Matters in Interpretability Logics

Modal Matters in Interpretability Logics PDF Author: Evan Goris
Publisher:
ISBN: 9789039336977
Category :
Languages : en
Pages : 117

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Book Description


Dick de Jongh on Intuitionistic and Provability Logics

Dick de Jongh on Intuitionistic and Provability Logics PDF Author: Nick Bezhanishvili
Publisher: Springer Nature
ISBN: 3031479211
Category :
Languages : en
Pages : 386

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Book Description


Reports on Mathematical Logic No. 46

Reports on Mathematical Logic No. 46 PDF Author:
Publisher: Wydawnictwo UJ
ISBN: 8323384088
Category :
Languages : en
Pages : 140

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Book Description
Reports on Mathematical Logic is a journal aimed at publishing quality research papers on mathematical logic and foundations of mathematicsâ€TM.

Mathematical Problems from Applied Logic II

Mathematical Problems from Applied Logic II PDF Author: Dov Gabbay
Publisher: Springer Science & Business Media
ISBN: 0387692452
Category : Mathematics
Languages : en
Pages : 377

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Book Description
This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

Leo Esakia on Duality in Modal and Intuitionistic Logics

Leo Esakia on Duality in Modal and Intuitionistic Logics PDF Author: Guram Bezhanishvili
Publisher: Springer
ISBN: 940178860X
Category : Philosophy
Languages : en
Pages : 340

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Book Description
This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems. Consisting of 10 chapters, written by leading experts, this volume discusses Esakia’s original contributions and consequent developments that have helped to shape duality theory for modal and intuitionistic logics and to utilize it to obtain some major results in the area. Beginning with a chapter which explores Esakia duality for S4-algebras, the volume goes on to explore Esakia duality for Heyting algebras and its generalizations to weak Heyting algebras and implicative semilattices. The book also dives into the Blok-Esakia theorem and provides an outline of the intuitionistic modal logic KM which is closely related to the Gödel-Löb provability logic GL. One chapter scrutinizes Esakia’s work interpreting modal diamond as the derivative of a topological space within the setting of point-free topology. The final chapter in the volume is dedicated to the derivational semantics of modal logic and other related issues.

Is There a Single Right Interpretation?

Is There a Single Right Interpretation? PDF Author: Michael Krausz
Publisher: Penn State Press
ISBN: 9780271046983
Category : Philosophy
Languages : en
Pages : 436

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Book Description
Is there a single right interpretation for such cultural phenomena as works of literature, visual artworks, works of music, the self, and legal and sacred texts? In these essays, almost all written especially for this volume, twenty leading philosophers pursue different answers to this question by examining the nature of interpretation and its objects and ideals. The fundamental conflict between positions that universally require the ideal of a single admissible interpretation (singularism) and those that allow a multiplicity of some admissible interpretations (multiplism) leads to a host of engrossing questions explored in these essays: Does multiplism invite interpretive anarchy? Can opposing interpretations be jointly defended? Should competition between contending interpretations be understood in terms of (bivalent) truth or (multivalent) reasonableness, appropriateness, aptness, or the like? Is interpretation itself an essentially contested concept? Does interpretive activity seek truth or aim at something else as well? Should one focus on interpretive acts rather than interpretations? Should admissible interpretations be fixed by locating intentions of a historical or hypothetical creator, or neither? What bearing does the fact of the historical situatedness of cultural entities have on their identities? The contributors are Annette Barnes, Noël Carroll, Stephen Davies, Susan Feagin, Alan Goldman, Charles Guignon, Chhanda Gupta, Garry Hagberg, Michael Krausz, Peter Lamarque, Jerrold Levinson, Joseph Margolis, Rex Martin, Jitendra Mohanty, David Novitz, Philip Percival, Torsten Pettersson, Robert Stecker, Laurent Stern, and Paul Thom.

The Modal Interpretation of Quantum Mechanics

The Modal Interpretation of Quantum Mechanics PDF Author: Dennis Dieks
Publisher: Springer Science & Business Media
ISBN: 9780792352075
Category : Science
Languages : en
Pages : 402

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Book Description
According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation (in the sense of scientific realism). One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, explain the various forms of the modal interpretation, survey its achievements, and discuss those problems that have yet to be solved. Audience: Philosophers of science, theoretical physicists, and graduate students in these disciplines.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 870

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Book Description


The Logic of Provability

The Logic of Provability PDF Author: George Boolos
Publisher: Cambridge University Press
ISBN: 9780521483254
Category : Mathematics
Languages : en
Pages : 318

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Book Description
Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic.

Advances in Modal Logic

Advances in Modal Logic PDF Author:
Publisher: Center for the Study of Language and Information Publica Tion
ISBN:
Category : Mathematics
Languages : en
Pages : 496

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Book Description
Modal Logic, originally conceived as the logic of necessity and possibility, has developed into a powerful mathematical and computational discipline. It is the main source of formal languages aimed at analyzing complex notions such as common knowledge and formal provability. Modal and modal-like languages also provide us with families of restricted description languages for relational and topological structures; they are being used in many disciplines, ranging from artificial intelligence, computer science and mathematics via natural language syntax and semantics to philosophy. This volume presents a broad and up-to-date view of the field, with contributions covering both the foundations of modal logic itself and each of the aforementioned application areas. Complemented with an editorial introduction covering the roots of modal logic, this book is indispensable for any advanced student and researcher in non-classical logic and its applications.