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Foundations of Probability with Applications

Foundations of Probability with Applications
Selected Papers 1974–1995

$62.00 (P)

Part of Cambridge Studies in Probability, Induction and Decision Theory

  • Date Published: November 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521568357

$ 62.00 (P)
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  • This is an important collection of essays on dealing with the foundations of probability that will be of value to philosophers of science, mathematicians, statisticians, psychologists and educationalists. The collection falls into three parts: Part I comprises five essays on the axiomatic foundations of probability. Part II contains seven articles on probabilistic causality and quantum mechanics, with an emphasis on the existence of hidden variables. The third part consists of a single extended essay applying probabilistic theories of learning to practical questions of education: it incorporates extensive data analysis.

    • Suppes is the major selling point - internationally famous philosopher of science
    • Major collection of papers on probability that will interest both philosophers and mathematicians
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    Product details

    • Date Published: November 1996
    • format: Paperback
    • isbn: 9780521568357
    • length: 208 pages
    • dimensions: 230 x 153 x 13 mm
    • weight: 0.294kg
    • contains: 27 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. Foundations of Probability:
    1. Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualititative probability ordering
    2. Necessary and sufficient qualitative axioms for conditional probability
    3. On using random relations to generate upper and lower probabilities
    4. Conditions on upper and lower probabilities to imply probabilities
    5. Qualitative axioms for random-variable representation of extensive quantifiers
    Part II. Causality and Quantum Mechanics:
    6. Stochastic incompleteness of quantum mechanics
    7. On the determinism of hidden variable theories with strict correlation and conditional statistical independence of observables
    8. A new proof of the impossibility of hidden variables using the principles of exchangeability and identity of conditional distribution
    9. When are probabilistic explanations possible?
    10. Causality and symmetry
    11. New Bell-type inequalities for N>4 necessary for existence of a hidden variable
    12. Existence of hidden variables having only upper probabilities
    Part III. Applications in Education:
    13. Mastery learning of elementary mathematics: theory and data.

  • Authors

    Patrick Suppes, Stanford University, California

    Mario Zanotti, Computer Curriculum Corporation, California

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