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" Justification logic : "
Sergei Artemov (Graduate Center, City University of New York), Melvin Fitting (Graduate Center, City University of New York).
Document Type
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BL
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Record Number
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839666
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Main Entry
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Artemov, S. N.
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Title & Author
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Justification logic : : reasoning with reasons /\ Sergei Artemov (Graduate Center, City University of New York), Melvin Fitting (Graduate Center, City University of New York).
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Publication Statement
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Cambridge ;New York, NY :: Cambridge University Press,, 2019.
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, ©2019
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Series Statement
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Cambridge tracts in mathematics ;; 216
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Page. NO
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xxi, 247 pages :: illustrations ;; 24 cm.
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ISBN
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1108424910
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: 9781108424912
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9781108661102
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Bibliographies/Indexes
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Includes bibliographical references (pages 234-243) and index.
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Contents
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Why justification logic? -- The basics of justification logic -- The ontology of justifications -- Fitting models -- Sequents and tableaus -- Realization-how it began -- Realization-generalized -- The range of realization -- Arithmetical completeness and BHK semantics -- Quantifiers in justification logic -- Going past modal logic.
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Abstract
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Classical logic is concerned, loosely, with the behavior of truths. Epistemic logic similarly is about the behavior of known or believed truths. Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a logical framework for the reliability of assertions. This book, the first in the area, is a systematic account of the subject, progressing from modal logic through to the establishment of an arithmetic interpretation of intuitionistic logic. The presentation is mathematically rigorous but in a style that will appeal to readers from a wide variety of areas to which the theory applies. These include mathematical logic, artificial intelligence, computer science, philosophical logic and epistemology, linguistics, and game theory.
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Subject
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Inquiry (Theory of knowledge)
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Subject
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Logic, Symbolic and mathematical.
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Subject
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Reasoning.
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Subject
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Science-- Theory reduction.
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Subject
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Inquiry (Theory of knowledge)
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Subject
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Logic, Symbolic and mathematical.
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Subject
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Reasoning.
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Subject
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Science-- Theory reduction.
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Dewey Classification
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511.3
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LC Classification
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QA9.A78 2019
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Added Entry
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Fitting, Melvin,1942-
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