
Logic with a Probability Semantics.
Title:
Logic with a Probability Semantics.
Author:
Hailperin, Theodore.
ISBN:
9781611460117
Personal Author:
Physical Description:
1 online resource (101 pages)
Contents:
Logic with a Probability Semantics -- CONTENTS -- Preface -- Introduction: An Overview -- Chapter 1. Sentential Probability Logic -- 1.1 Verity logic for S(¬,Λ,V ) -- 1.2 Probability logic for S(¬,Λ,V ) -- 1.3 Interval-based probability logic -- 1.4 Sentential suppositional logic -- 1.5 Conditional-probability logic -- 1.6 Logical consequence for probability logic -- 1.7 Combining evidence -- Chapter 2. Logic with Quantifiers -- 2.0 Ontologically neutral (ON) language -- 2.1 Syntax and semantics of ON logic -- 2.2 Axiomatic formalization of ON logic -- 2.3 Adequacy of ON logic -- 2.4 Quantifier language with the suppositional -- Chapter 3. Probability Semantics for ON Logic -- 3.1 Probability functions on ON languages -- 3.2 Main Theorem of ON probability logic -- 3.3 Borel's denumerable probability -- 3.4 Infinite "events" and probability functions -- 3.5 Kolmogorov probability spaces -- 3.6 Logical consequence in probability logic -- 3.7 Borel's denumerable probability defended -- Chapter 4. Conditional-Probability and Quantifiers -- 4.1 Conditional-probability in quantifier logic -- 4.2 The paradox of confirmation -- Bibliography -- Index.
Abstract:
The book extends the development of probability logic_a logic using probability, not verity (true, false) as the basic semantic notion. The basic connectives 'not,' 'and,' and 'or' are described in depth to include quantified formulas. Also discussed is the notion of the suppositional, and resolution of the paradox of confirmation.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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