Foundations of measurement /
From the Foreword is infinite in multitude; and I mean by the sand not only that which exists about Syracuse and the rest of Sicily but also that which is found in every region whether inhabited or unhabited. Again there are some who, without regarding it as infinite, yet think that no number has be...
Clasificación: | Libro Electrónico |
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Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Academic Press,
1990.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Representation, Axiomatization, and Invariance; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Chapter 18. Overview; 18.1 NONADDITIVE REPRESENTATIONS (CHAPTER 19); 18.2 SCALE TYPES (CHAPTER 20); 18.3 AXIOMATIZATION (CHAPTER 21); 18.4 INVARIANCE AND MEANINGFULNESS (CHAPTER 22); Chapter 19. Nonadditive Representations; 19.1 INTRODUCTION; 19.2 TYPES OF CONCATENATION STRUCTURE; 19.3 REPRESENTATIONS OF PCSs; 19.4 COMPLETIONS OF TOTAL ORDERS AND PCSs; 19.5 PROOFS ABOUT CONCATENATION STRUCTURES; 19.6 CONNECTIONS BETWEEN CONJOINT AND CONCATENATION STRUCTURES.
- 19.7 REPRESENTATIONS OF SOLVABLE CONJOINT AND CONCATENATION STRUCTURES19.8 PROOFS; 19.9 BISYMMETRY AND RELATED PROPERTIES; EXERCISES; Chapter 20. Scale Types; 20.1 INTRODUCTION; 20.2 HOMOGENEITY, UNIQUENESS, AND SCALE TYPE; 20.3 PROOFS; 20.4 HOMOGENEOUS CONCATENATION STRUCTURES; 20.5 PROOFS; 20.6 HOMOGENEOUS CONJOINT STRUCTURES; 20.7 PROOFS; EXERCISES; Chapter 21. Axiomatization; 21.1 AXIOM SYSTEMS AND REPRESENTATIONS; 21.2 ELEMENTARY FORMALIZATION OF THEORIES; 21.3 DEFINABILITY AND INTERPRETABILITY; 21.4 SOME THEOREMS ON AXIOMATIZABILITY; 21.5 PROOFS; 21.6 FINITE AXIOMATIZABILITY.
- 21.7 THE ARCHIMEDEAN AXIOM21.8 TESTABILITY OF AXIOMS; EXERCISES; Chapter 22. Invariance and Meaningfulness; 22.1 INTRODUCTION; 22.2 METHODS OF DEFINING MEANINGFUL RELATIONS; 22.3 CHARACTERIZATIONS OF REFERENCE INVARIANCE; 22.4 PROOFS; 22.5 DEFINABILITY; 22.6 MEANINGFULNESS AND STATISTICS; 22.7 DIMENSIONAL INVARIANCE; 22.8 PROOFS; 22.9 REPRISE: UNIQUENESS, AUTOMORPHISMS, AND CONSTRUCTABILITY; EXERCISES; References; Author Index; Subject Index.