Justification logic : reasoning with reasons / Sergei Artemov (Graduate Center, City University of New York), Melvin Fitting (Graduate Center, City University of New York).

Format:

Book

Author/Creator:

Artemov, S. N., author.

Fitting, Melvin, 1942- author.

Series:

Cambridge tracts in mathematics ; 216.

Cambridge tracts in mathematics ; 216

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Inquiry (Theory of knowledge).

Science--Theory reduction.

Science.

Reasoning.

Physical Description:

xxi, 247 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge ; New York, NY : Cambridge University Press, 2019.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references (pages 234-243) and index.

Other Format:

ebook version :

ISBN:

9781108424912

1108424910

OCLC:

1061817253