Justification Logic: Reasoning with Reasons (Cambridge Tracts in Mathematics)
Cambridge University Press, 5/2/2019
EAN 9781108424912, ISBN10: 1108424910
Hardcover, 268 pages, 23.5 x 15.6 x 1.9 cm
Language: English
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.
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.