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catalog abstract ""Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role of mathematical probability theory in other sciences."--Jacket.".
catalog contributor b12176475.
catalog contributor b12176476.
catalog contributor b12176477.
catalog created "c2001.".
catalog date "2001".
catalog date "c2001.".
catalog dateCopyrighted "c2001.".
catalog description ""Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role of mathematical probability theory in other sciences."--Jacket.".
catalog description "Includes bibliographical references and index.".
catalog description "Introduction / V.F. Hendricks, S.A. Pedersen, K.F. Jorgensen -- Original Abstracts -- The Philosophy and Recent History of Probability Theory and Statistics -- Probability and Statistics: Some Thoughts at the Turn of the Millennium / N.H. Bingham -- Early History -- The Rise of Measure Theory: Prelude to the Grundbegriffe -- The Triumph of Measure Theory: The Impact of the Grundbegriffe -- The General Theory of Processes and Stochastic Integration -- The Evolution of Statistics in the Twentieth Century: Classical Theories -- The Evolution of Statistics in the Twentieth Century: Other Approaches -- The Development of Applied Probability in the Twentieth Century -- The Impact of Physics -- The Impact of the Computer -- The Impact of Finance -- Kolmogorov's Later Work and Algorithmic Information Theory -- Critique of the Shafer-Vovk Approach via Game Theory -- Kolmogorov's Complexity Conception of Probability / Volodya Vovk -- Kolmogorov's Frequency Interpretation -- Kolmogorov Complexity as Tool for the Frequency Interpretation -- Kolmogorov's Complexity Conception -- Algorithmic Theory of Randomness -- Emile Borel's View of Probability Theory / Eberhard Knobloch -- Probability Theory and Borel's Philosophy of Mathematics -- Foundations of Probability Theory and Objections Against It -- Borel, von Mises, and Keynes -- Borel and Reichenbach -- Scientific Determinism versus Probabilistic Indeterminism -- The Reception of John Venn's Philosophy of Probability / Berna Eden Kilinc -- Venn's Analysis of the Reference Class Problem.".
catalog extent "xiii, 183 p. :".
catalog identifier "0792369521 (alk. paper)".
catalog isPartOf "Synthese library ; v. 297".
catalog issued "2001".
catalog issued "c2001.".
catalog language "eng".
catalog publisher "Dordrecht ; Boston : Kluwer Academic Publishers,".
catalog subject "519.2 21".
catalog subject "Mathematical statistics Congresses.".
catalog subject "Probabilities Congresses.".
catalog subject "QA273.A1 P7825 2001".
catalog tableOfContents "Introduction / V.F. Hendricks, S.A. Pedersen, K.F. Jorgensen -- Original Abstracts -- The Philosophy and Recent History of Probability Theory and Statistics -- Probability and Statistics: Some Thoughts at the Turn of the Millennium / N.H. Bingham -- Early History -- The Rise of Measure Theory: Prelude to the Grundbegriffe -- The Triumph of Measure Theory: The Impact of the Grundbegriffe -- The General Theory of Processes and Stochastic Integration -- The Evolution of Statistics in the Twentieth Century: Classical Theories -- The Evolution of Statistics in the Twentieth Century: Other Approaches -- The Development of Applied Probability in the Twentieth Century -- The Impact of Physics -- The Impact of the Computer -- The Impact of Finance -- Kolmogorov's Later Work and Algorithmic Information Theory -- Critique of the Shafer-Vovk Approach via Game Theory -- Kolmogorov's Complexity Conception of Probability / Volodya Vovk -- Kolmogorov's Frequency Interpretation -- Kolmogorov Complexity as Tool for the Frequency Interpretation -- Kolmogorov's Complexity Conception -- Algorithmic Theory of Randomness -- Emile Borel's View of Probability Theory / Eberhard Knobloch -- Probability Theory and Borel's Philosophy of Mathematics -- Foundations of Probability Theory and Objections Against It -- Borel, von Mises, and Keynes -- Borel and Reichenbach -- Scientific Determinism versus Probabilistic Indeterminism -- The Reception of John Venn's Philosophy of Probability / Berna Eden Kilinc -- Venn's Analysis of the Reference Class Problem.".
catalog title "Probability theory : philosophy, recent history and relations to science / edited by Vincent F. Hendricks, Stig Andur Pedersen and Klaus Frovin Jørgensen.".
catalog type "Conference proceedings. fast".
catalog type "text".