Justification logic : reasoning with reasons
著者
書誌事項
Justification logic : reasoning with reasons
（Cambridge tracts in mathematics, 216）
Cambridge University Press, 2019
- : hardback
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注記
Includes bibliographical references (p. 234-243) and index
内容説明・目次
内容説明
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.
目次
- 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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