Umfang:
1 Online-Ressource (xiv, 223 pages)
,
illustrations
ISBN:
0415182751
,
9781280327926
,
9781134672462
,
9780415182751
Serie:
Philosophical issues in science
Inhalt:
The use of probability and statistics has increased dramatically in all fields of research. This book presents an account of the resultant philosophical theories of probability and explains how they relate to one another
Anmerkung:
Includes bibliographical references (p. [212]-217) and index
,
Book Cover; Title; Copyright; Contents; 1 Introductory survey of the interpretations some historical background; 2 The classical theory; 3 The logical theory; 4 The subjective theory; 5 The frequency theory; 6 The propensity theory I general survey; 7 The propensity theory II development of a particular version; 8 Intersubjective probability and pluralist views of probability; 9 An example of pluralism differences between the natural and social sciences; Notes; References; Index.
,
Front Cover; Philosophical Theories of Probability; Copyright Page; Contents; List of illustrations; Preface; Acknowledgements; 1. Introductory survey of the interpretations: some historical background; Introductory survey of the interpretations; Origins and development of probability theory(c. 1650 to c. 1800): mathematics; Origins and development of probability theory (c. 1650 to c. 1800): practical applications and philosophy; 2. The classical theory; Universal determinism and Laplace's demon; Equally possible cases; Janus-faced probability
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Why was probability theory not developed in the Ancient World?3. The logical theory; Cambridge in the Edwardian era; Probability as a logical relation; Measurable and non-measurable probabilities: the Principle of Indifference; Paradoxes of the Principle of Indifference; Possible solutions to the paradoxes; 4. The subjective theory; Ramsey's criticisms of Keynes; Subjective foundations for mathematical probability: the Ramsey-De Finetti theorem; A comparison of the axiom system given here with the Kolmogorov axioms; Apparently objective probabilities in the subjective theory: exchangeability
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The relation between independence and exchangeabilityCriticism of De Finetti's exchangeability reduction; Some objections to Bayesianism; De Finetti's route to subjective probability; 5. The frequency theory; Probability theory as a science; The empirical laws of probability; The limiting frequency definition of probability; The problem of randomness; The relation between Von Mises' axioms and the Kolmogorov axioms; 6. The propensity theory: (I) general survey; Popper's introduction of the propensity theory; Can there be objective probabilities of single events?
,
Classification of propensity theoriesThe propensity theories of Miller, the later Popper and Fetzer; Propensity and causality: Humphreys' paradox; 7. The propensity theory: (II) development of a particular version; Criticisms of operationalism: a non-operationalist theory of conceptual innovation in the natural sciences; A falsifying rule for probability statements; Derivation of the empirical laws of probability; The Kolmogorov axioms and the propensity theory; 8. Intersubjective probability and pluralist views of probability; Intersubjective probability
,
The spectrum from subjective to objectivePluralist views of probability; 9. An example of pluralism: differences between the natural and social sciences; General arguments for interpreting probabilities in economics as epistemological rather than objective; Soros on the difference between the natural and social sciences; Operationalism is appropriate for the social sciences,but not for the natural sciences; Notes; References; Index
Weitere Ausg.:
ISBN 041518276X
Weitere Ausg.:
ISBN 1280326263
Weitere Ausg.:
ISBN 9780415182751
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Philosophical Theories of Probability
Sprache:
Englisch
Schlagwort(e):
Wahrscheinlichkeitstheorie
;
Philosophie
;
Wahrscheinlichkeit
;
Philosophie
;
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