Overview

To answer questions concerning previously supplied informat- ion the book uses a truth table or 'chain set' logic which combines probabilities with truth values (possibilities). Answers to questions can be 1 (yes); 0 (no); m (a fraction in the case of uncertain information); 0m, m1 or 0m1 (in the case of 'ignorance' or insufficient information). An IF THEN statement is interpreted as specifying a conditional probab- ility value. No predicate calculus is needed in this probab- ility logic which is built on top of a yes-no logic. Quanti- fication sentences are represented as IF THEN sentences with variables. Strange results of first order logic are more reasonable in the chain set logic. E.g., (p->q)->(p->NOTq), (p->q) AND (p->NOTq), (p->q)-> NOT(p->q), p->NOT p, are contradictory statements only in the chain set logic.

Full Product Details

Author:   Ellen Hisdal
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   14
Dimensions:   Width: 21.00cm , Height: 2.20cm , Length: 27.90cm
Weight:   1.097kg
ISBN:  

9783790824582

ISBN 10:   3790824585
Pages:   420
Publication Date:   21 October 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

BP Logic.- Chain Set and Probability Overview.- BP Chain Sets I, Affirmation, Negation, Conjunction, Disjunction.- BP Chain Sets II, Special Cases of Chain Sets.- BP Chain Sets III, Precise Formulations.- Inferences or the Answering of Questions.- Inferences with Higher Level Chain Sets.- IF THEN Information.- Various IF THEN Topics.- M Logic.- The M-Notation and Ignorance vs Uncertainty.- Two Types of Updating of Probabilities.- Operations and Ignorance in the M Logic.- Modus Ponens and Existence Updating.- IF THEN Information in the M Logic.- Existence Structures.- Existence Inferences.- Conditional and Joint Existence Information and Inferences.- Attributes and The Alex System versus Chain Sets.- Attributes and the Alex System versus Chain Sets.- Solutions to Some Exercises.

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