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