Justification logic : reasoning with reasons
Author(s)
Bibliographic Information
Justification logic : reasoning with reasons
（Cambridge tracts in mathematics, 216）
Cambridge University Press, 2019
- : hardback
Available at / 24 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackART||10||1200039115482
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: hardback/AR 752080468075
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Note
Includes bibliographical references (p. 234-243) and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
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