Analogy and Structure

By: R. Skousen

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Hardcover | 30 September 1992

At a Glance

Hardcover
392 Pages

Dimensions(cm)
22.86 x 16.51 x 3.18

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Analogy and Structure provides the necessary foundation for understanding the nature of analogical and structuralist (or rule-based) approaches to describing behavior. In the first part of this book, the mathematical properties of rule approaches are developed; in the second part, the analogical alternative to rules is developed. This book serves as the mathematical basis for Analogical Modeling of Language (Kluwer, 1989). Features include:
A Natural Measure of Uncertainty: The disagreement between randomly chosen occurences avids the difficulties of using entropy as the measure of uncertainty.
Optimal Descriptions: The implicit assumption of structuralist descriptions (namely, that descriptions of behavior should be corrected and minimal) can be derived from more fundamental statements about the uncertainty of rule systems.
Problems with Rule Approaches: The correct description of nondeterministic behavior leads to an atomistic, analog alternative to structuralist (or rule-based) descriptions.
Natural Statistics: Traditional statistical tests are eliminated in favor of statistically equivalent decision rules that involve little or no mathematical calculation.
Psycholinguistic Factors: Analogical models, unlike, neural networks, directly account for probabilistic learning as well as reaction times in world-recognition experiments.

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You Can Find This Book In

Non-Fiction Language & Linguistics Linguistics Mathematics Probability & Statistics Computing & I.T.Computer Science Artificial Intelligence Machine Learning Science Biology, Life Sciences Life Sciences in General

Neurosciences Psychology Physiological & Neuro-Psychology, Biopsychology

Introduction
Structuralist Descriptions
Measuring the Certainty of Probabilistic Rules
Systems of Rules
The Agreement Density for Continuous Rules
Maximum Likelihood Statistics
Optimal Descriptions
Simplest Descriptions
Preferred Derivations
Analyzing the Effect of a Variable
Analogical Descriptions
Problems With Structuralist Descriptions
An Analogical Approach
A Natural Test for Homogeneity
Statistical Analogy
Defining Other Levels of Significance
Actual Examples
Analogical Analyses of Continuous Variables
Behavioral Factors
Concluding Remarks: A Final Analogy
References
Index
Table of Contents provided by Blackwell. All Rights Reserved.

Analogy and Structure

At a Glance

Hardcover

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