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The volume comprises thirty-one articles exploring the philosophy of science and foundational issues since 1970, structured into five main sections. It begins with general methodology, emphasizing formal methods and the plurality of science. The second part focuses on probabilistic approaches to causality and explanation, while the third highlights representation theorems in probability and measurement. The fourth section delves into the foundations of physics, addressing topics like quantum mechanics, and the final part examines the foundations of psychology, particularly learning and perception.

A classic series in the field of quantitative measurement, Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. 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. 1989 edition.

First volume in the three books Foundations of Measurement series.Table of contents:Preface1. Introduction2. Construction of numerical functions3. Extensive measurement4. Difference measurement5. Probability representations6. Additive conjoint measurement7. Polynomial conjoint measurement8. Conditional expected utility9. Measurement inequalities10. Dimensional analysis and numerical lawsAnswers and hints to selected exercisesReferences

This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, finite sets and cardinal numbers, rational and real numbers, and other subjects. 1960 edition.