Sergei Artemov

Justification Logic (eBook, PDF)

Reasoning with Reasons

• Format: PDF

Produktbeschreibung

Classical logic is concerned, loosely, with the behaviour of truths. Epistemic logic similarly is about the behaviour 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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 2. Mai 2019
• Englisch
• ISBN-13: 9781108661102
• Artikelnr.: 56528720

Autorenporträt

Sergei Artemov is Distinguished Professor at the City University of New York. He is a specialist in mathematical logic, logic in computer science, control theory, epistemology, and game theory. He is credited with solving long-standing problems in constructive logic that had been left open by Goedel and Kolmogorov since the 1930s. He has pioneered studies in the logic of proofs and justifications that renders a new, evidence-based theory of knowledge and belief. The most recent focus of his interests is epistemic foundations of game theory.

Inhaltsangabe

Introduction: 1. Why justification logic?
2. The basics of justification logic
3. The ontology of justifcations
4. Fitting models
5. Sequents and tableaus
6. Realization - how it began
7. Realization - generalized
8. The range of realization
9. Arithmetical completeness and BHK semantics
10. Quantifiers in justification logic
11. Going past modal logic.