Logic with a Probability Semantics
The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word "sentential" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential co…
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- Full title :Logic with a Probability Semantics.
Summary
The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word "sentential" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ("no," "and," "or," etc.) but not including quantifiers ("for all," "there is"). An initial.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):Rowman & Littlefield Pub. Group
- Place of Publication:Lanham
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:1 online resource (124 pages)
Edition Identifiers
- ISBN:9781611460117, 1611460115
- oclc:ocn747410598
- LC Classification:QA273 .A35 H35 2010
- Dewey Decimal:519.2
Table of Contents
Chapter 3. Probability Semantics for ON Logic3.1 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
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