University Press Copublishing Division / Lehigh University Press

Pages: 126
•
Trim: 6⅜ x 9½

978-1-61146-010-0 • Hardback • December 2010 • $91.00 • (£70.00)

978-1-61146-011-7 • eBook • December 2010 • $86.50 • (£67.00)

Theodore Hailperin is emeritus professor of mathematics at Lehigh University. He has also worked as an aerodynamic ballistician at the Ballistics Research Laboratory in Aberdeen, MD. He is the author of Boole's Logic and Probability, Sentential Probability Logic, and numerous journal articles.

1 Preface

2 Introduction: An Overview

Part 3 1. Sentenial Probability Logic

Chapter 4 1.1 Verity logic

Chapter 5 1.2 Probability logic for *S*

Chapter 6 1.3 Interval-based probability

Chapter 7 1.4 Sentential suppositional logic

Chapter 8 1.5 Conditional-probability logic

Chapter 9 1.6 Logical consequence for probability logic

Chapter 10 1.7 Combining evidence

Part 11 2. Logic With Quantifiers

Chapter 12 2.0 Ontologically neutral (ON) language

Chapter 13 2.1 Syntax and semantics of ON logic

Chapter 14 2.2 Axiomatic formalization of ON logic

Chapter 15 2.3 Adequacy of ON logic

Chapter 16 2.4 Quantification logic with the suppositional

Part 17 3. Probability functions on ON languages

Chapter 18 3.1 Probability functions on ON languages

Chapter 19 3.2 Main Theorem of ON probability logic

Chapter 20 3.3 Borel's denumerable probability

Chapter 21 3.4 Infinite "events" and probability functions

Chapter 22 3.5 Kolmogorov probability spaces

Chapter 23 3.6 Logical consequence in probability logic

Chapter 24 3.7 Borel's denumerable probability defended

Part 25 4. Conditional-Probability and Quantifiers

Chapter 26 4.1 Conditional-probability in quantifier logic

Chapter 27 4.2 The paradox of confirmation

28 Bibliography

29 Index

There are some original features in the treatment given to the subject by the author, which make it an interesting reading also for people well acquainted with other work on probabilistic logics.

**— ****Mathematical Reviews**

Anyone interested in the history and philosophy of logic will find this work intriguing. Amateur logicians will find it challenging but will appreciate the progression toward expressing quantified probability logic in a richer formal structure, thus broadening the book's range of possible applications.

**— ****Mathematics Teacher**