Foundations of Measurement

Foundations of Measurement

Volume 3

1st Edition - March 28, 1990

Write a review

  • Author: R Duncan Luce
  • eBook ISBN: 9781483295046

Purchase options

Purchase options
DRM-free (PDF)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order


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 been named which is great enough to exceed its multitude. And it is clear that they who hold this view, if they imagined a mass made up of sand in other respects as large as the mass of the earth, including in it all the seas and the hollows of the earth filled up to a height equal to that of the highest mountains, would be many times further still from recognizing that any number could be expressed which exceeded the multitude of the sand so taken. But I will try to show you by means of geometrical proofs, which you will be able to follow, that, of the numbers named by me and given in the work which I sent to Zeuxippus, some exceed not only the number of the mass of sand equal in magnitude to the earth filled up in the way described, but also that of a mass equal in magnitude to the universe.:

Key Features

See Table of Contents and MAQ.


Professional psychologists, sociologists, and economists interested in measurement questions. Philosophers of science interested in foundations of measurement.

Table of Contents

  • 18. Overview
    s 18.1 Nonadditive Representations (Chapter 19)
    _s 18.2 Scale Types (Chapter20)
    _s 18.3 Axiomatization (Chapter 21)
    _s 18.4 Invariance and Meaningfulness (Chapter 22)
    c 19. Nonadditive Representations
    s 19.1 Introduction
    s 19.2 Types of Concatenation Structures
    s 19.3 Representations of PCSs
    s 19.4 Completions of Total Orders and PCSs
    s 19.5 Proofs
    s 19.6 Connections Between Conjoint and Concatenation Structures
    s 19.7 Representations of Solvable Conjoint and Concatenation Structures
    s 19.8 Proofs
    s 19.9 Bisymmetry and Related Properties
    s Exercises
    c 20. Scale Types
    s 20.1 Introduction
    s 20.2 Homogeneity, Uniqueness, and Scale Type
    s 20.3 Proofs
    s 20.4 Homogeneous Concatenation Structures
    s 20.5 Proofs
    s 20.6 Homogeneous Conjoint Structures
    s 20.7 Proofs
    s Exercises
    c 21. Axiomatization
    s 21.1 Axiom Systems and Representations
    s 21.2 Elementary Formalization o

Product details

  • No. of pages: 356
  • Language: English
  • Copyright: © Academic Press 1990
  • Published: March 28, 1990
  • Imprint: Academic Press
  • eBook ISBN: 9781483295046

About the Author

R Duncan Luce

Ratings and Reviews

Write a review

There are currently no reviews for "Foundations of Measurement"