Foundations of Measurement: Geometrical, threshold, and probabilistic representationsThe return of a classic series in the field of quantitative measurement. All of the sciences - physical, biological, and social - have a need for quantitative measurement. This influential but hard-to-find series established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance. |
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absolute geometry additive segments affine afline alternatives assume asymmetric automorphism axiomatic axioms binary relation Chapter choice probabilities codes collinear color concept configurations congruence construction convex convex cone coordinates curve defined Definition denote dimension distance EBA model elements elliptic elliptic geometry empirical Equation equilibrium structure equivalence Euclidean geometry example exists Falmagne field finite first fixed graph Grassmann structure hence homogeneous hyperbolic identification ifi ifl implies independent inequality interval order Lemma linear mapping match metameric metric space monotonic nonempty one-dimensional ordered geometry pair perception points projective geometry projective plane proof properties proximity structure qualitative random variables random-utility model real numbers real-valued function representation theorem satisfies satisfy scalar product scale Section semiorder sequence solvability specific stimuli strictly increasing subset Suppose ternary theory three-dimensional tion transformation triangle triangle inequality Tversky unique vector space viewing conditions visual space weak order
Bibliographic information
| Title | Foundations of Measurement: Geometrical, threshold, and probabilistic representations Volume 2 of Dover Books on Mathematics Volume 2 of Foundations of Measurement Foundations of Measurement: Volume II Geometrical, Threshold, and Probabilistic Representations |
| Authors | Patrick Suppes, David H. Krantz |
| Edition | illustrated, reprint |
| Publisher | Courier Corporation, 2007 |
| ISBN | 0486453154, 9780486453156 |
| Length | 493 pages |
| Subjects | › Mathematics / General Mathematics / Measurement |
| Export Citation | BiBTeX EndNote RefMan |