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 "sen
Logic with a probability semantics: including solutions to some philosophical problems
โ Scribed by Hailperin, Theodore
- Publisher
- Lehigh University Press, Rowman & Littlefield
- Year
- 2011
- Tongue
- English
- Leaves
- 124
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ 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
โฆ Subjects
MATHEMATICS--Probability & Statistics--General;Probabilities--Philosophy;Electronic books;Electronic book;Probabilities -- Philosophy;MATHEMATICS -- Probability & Statistics -- General
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