
Pure Inductive Logic by Jeffrey Paris
Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecting symmetry and ignoring irrelevant information. The authors uncover further rationality concepts, both in the unary and in the newly emerging polyadic languages, such as conformity, spectrum exchangeability, similarity and language invariance. For logicians with a mathematical grounding, this book provides a complete self-contained course on the subject, taking the reader from the basics up to the most recent developments. It is also a useful reference for a wider audience from philosophy and computer science.-
Computable Structure Theory
-
Subsystems of Second Order Arithmetic
-
General Recursion Theory
-
Computability in Analysis and Physics
-
Recursion-Theoretic Hierarchies
-
Degrees of Unsolvability
-
Fundamentals of Stability Theory
-
Constructibility
-
Higher Recursion Theory
-
Essential Stability Theory
-
Model-Theoretic Logics
-
Admissible Sets and Structures
-
Lambda Calculus with Types
-
Proofs and Computations
'The monograph should prove an invaluable reference for researchers keen to embark on working in this area …' Eric AMartin, MathSciNet (www.ams.org/mathscinet)
Jeff Paris is a Professor in the School of Mathematics at the University of Manchester. His research interests lie in mathematical logic, particularly set theory, models of arithmetic and non-standard logics. In 1983 he was awarded the London Mathematical Society's Junior Whitehead Prize and in 1999 was elected a Fellow of the British Academy in the Philosophy Section. He is the author of The Uncertain Reasoner's Companion (Cambridge University Press, 1995). Alena Vencovská received her PhD from Charles University, Prague. She has held a string of research and lecturing positions in the School of Mathematics at the University of Manchester. Her research interests include uncertain reasoning, nonstandard analysis, alternative set theory and the foundations of mathematics.
| SKU | Unavailable |
| ISBN 13 | 9781107042308 |
| ISBN 10 | 1107042305 |
| Title | Pure Inductive Logic |
| Author | Jeffrey Paris |
| Series | Perspectives In Logic |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2015-04-02 |
| Number of pages | 354 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |













