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Introduction to the Theories of Measurement and Meaningfulness and the Use of Symmetry in Science [Pehme köide]

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  • Formaat: Paperback / softback, 184 pages, kõrgus x laius: 229x152 mm, kaal: 249 g
  • Sari: Scientific Psychology Series
  • Ilmumisaeg: 31-Oct-2013
  • Kirjastus: Psychology Press Ltd
  • ISBN-10: 0415649285
  • ISBN-13: 9780415649285
Teised raamatud teemal:
Introduction to the Theories of Measurement and Meaningfulness and the Use of Symmetry in ScienceSuurem pilt
  • Formaat: Paperback / softback, 184 pages, kõrgus x laius: 229x152 mm, kaal: 249 g
  • Sari: Scientific Psychology Series
  • Ilmumisaeg: 31-Oct-2013
  • Kirjastus: Psychology Press Ltd
  • ISBN-10: 0415649285
  • ISBN-13: 9780415649285
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780415649285.html

This book is designed to be an introduction to the theories of measurement and meaningfulness, and not a comprehensive study of those topics. A major theme of this book is the psychophysical measurement of subjective intensity. This has been a subject of intense interest in psychology from the very beginning of experimental psychology. And from that beginning to the present day, it has continuously generated major controversies involving measurement and meaningfulness.

1 The Need for Theories of Measurement and Meaningfulness
1(14)
1.1 Plateau's Theory
2(2)
1.2 Derivation of Plateau's Power Law
4(4)
1.3 Issues Raised by Plateau's Theory
8(2)
1.4 Additional Lemmas and Proofs
10(5)
I Measurement
15(72)
2 Representational Measurement Theory
17(18)
2.1 Introduction
17(1)
2.2 Preliminaries
18(2)
2.2.1 Basic Notation
18(1)
2.2.2 Isomorphisms
18(2)
2.3 Cantor's Characterization of the Continuum
20(2)
2.4 Continuous Structures
22(6)
2.5 Scale Types
28(4)
2.6 Representational Meaningfulness
32(3)
3 Symmetries and the Erlanger Program
35(12)
3.1 Symmetries
35(5)
3.2 Erlanger Program
40(3)
3.3 Comparison of Geometric and Measurement-Theoretic Concepts
43(4)
4 Threshold Measurement
47(14)
4.1 Continuous Threshold Structures
48(4)
4.2 Weber's and Fechner's Laws
52(4)
4.3 Threshold Structures with Only Psychological Primitives
56(1)
4.4 Meaningfulness Considerations
57(4)
5 Magnitude Production
61(12)
5.1 Stevens' Methods of Magnitude Estimation and Production
61(2)
5.2 Narens' 1996 Theory
63(5)
5.3 Empirical Tests
68(1)
5.4 Continuous Ratio Production
69(1)
5.5 Conclusions
70(3)
6 Torgerson's Conjecture
73(14)
6.1 Bisection Data
73(4)
6.2 Torgerson's Conjecture
77(2)
6.3 An Experimental Test of Torgerson's Conjecture
79(2)
6.4 Theoretical Considerations
81(1)
6.5 Proof of Lemma 6.1
82(5)
II Meaningfulness
87(76)
7 Meaningfulness Concepts from Measurement Theory
89(12)
7.1 Quantitative S-Meaningfulness
89(6)
7.2 Qualitative S-Meaningfulness
95(2)
7.3 Endomorphism Invariance
97(4)
8 Preliminary Set Theory
101(14)
8.1 Introduction
101(1)
8.2 The Language L(A)
101(4)
8.3 Basic Set Theory
105(4)
8.4 The Sets V and P
109(3)
8.5 First-Order and Higher-Order Relations
112(3)
9 Scientific Topics
115(6)
9.1 Principles for Scientific Topics
115(2)
9.2 Pure Mathematics
117(1)
9.3 Set-Theoretic Interpretation
118(3)
10 Theories of Meaningfulness
121(22)
10.1 Axiom of Measurement
121(5)
10.2 Axiom System FST
126(1)
10.3 Meaningfulness and the Erlanger Program
127(8)
10.3.1 Invariance under Extensions of Permutations
127(2)
10.3.2 Symmetries
129(2)
10.3.3 Axiom System ε
131(4)
10.4 Additional Proofs
135(8)
11 Applications, Limitations, and Generalizations of Axiom System FST
143(20)
11.1 An Epistemology for a Rule Based on Invariance
143(7)
11.2 Limitations of Axiom System FST
150(1)
11.3 Intrinsicness
151(4)
11.4 Possible Psychophysical Laws
155(6)
11.5 Distinguishing Empirical and Meaningful Relations
161(2)
References 163(6)
Index 169
Louis Narens