Philosophical Lectures on Probability: collected, edited, and annotated by Alberto Mura by Bruno De FinettiPhilosophical Lectures on Probability: collected, edited, and annotated by Alberto Mura by Bruno De Finetti

Philosophical Lectures on Probability: collected, edited, and annotated by Alberto Mura

byBruno De FinettiIntroduction byMaria Carla GalavottiTranslated byHosni Hykel

Paperback | October 28, 2010

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The book contains the transcription of a course on the foundations of probability given by the Italian mathematician Bruno de Finetti in 1979 at the "National Institute of Advanced Mathematics" in Rome. Bruno de Finetti (1906-1985) is known worldwide as the founder (together with F.P. Ramsey) of the modern personal probability. His fundamental idea of coherence, along with his Dutch Book argument, continues to play a central role in the debates about the foundations of probability and decision theory. Moreover, his notion of exchangeability and the related Representation Theorem are at the heart of the modern Bayesianism in statistics and epistemology. Unlike the hard-to-read two-volumes major work "Theory of Probability" (1970) (translated into English and published in 1974 by Wiley), this book is accessible to a wide audience, being conducted at a very elementary mathematical level, with no sacrifice of conceptual rigour. This book provides a fresh and first-hand introduction to De Finetti's personalistic standpoint. Although primarily meant as an introduction, the book should interest also scientists and philosophers well acquainted with De Finetti's views. As a matter of fact, the book contains the last reflections by De Finetti that include important conceptual novelties and new answers to common objections. The editor added a new introductory essay (replaces the paper in the original Italian edition), a rich apparatus of explicative notes and an updated bibliography. A further new preface by Maria Carla Galavotti is added to this English edition.
Bruno de Finetti (1906-1985) is one of the most important mathematicians of XX century. He is considered the founder of the subjective interpretation of probability, together with the British philosopher F. P. Ramsey. Graduated in Mathematics at Milan Polytechnic in 1927, he served as actuary at Assicurazioni Generali Venezia and as a ...
Title:Philosophical Lectures on Probability: collected, edited, and annotated by Alberto MuraFormat:PaperbackDimensions:234 pages, 9.25 × 6.1 × 0.07 inPublished:October 28, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048178053

ISBN - 13:9789048178056

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Table of Contents

Preface.- Editor's Notice.- De Finetti's Philosophy of Probability; M.C. Galavotti.- 1. Introductory Lecture.- 2. Decisions and Proper Scoring Rules.- 3. Geometric Representation of Brier's Rule.- 4. Bayes' Theorem.- 5. Physical Probability and Complexity.- 6. Stochastic Independence and Random Sequences.- 7. Superstition and Frequentism.- 8. Exchangeability.- 9. Distributions.- 10. The Concept of Mean.- 11. Induction and Sample Randomization.- 12. Complete Additivity and Zero Probabilities.- 13. The Definitions of Probability.- 14. The Gambler's Fallacy.- 15. "Facts" and "Events".- 16. "Facts" and "Events": An Example.- 17. Prevision, Random Quantities, and Trievents.- 18. Désiré André Argument.- 19. Characteristic Functions.- Cited Literature.- Name Index.

Editorial Reviews

From the reviews:"The belated publication of de Finetti's lectures provides a welcome opportunity to celebrate the achievements of one of the remarkable thinkers of the last century and also to look again at his work as a whole." N.H. Bingham, Imperial College London"The editor made an extraordinary effort to put the lectures as well as the discussions into proper context through a set of notes. These are very useful, and they often describe the future evolution of a subject which is touched on in the main text. A biographical sketch of de Finetti written by M. C. Gallavotti completes the information given in the book. . I am grateful to the editor . for making these lectures available in English to a broader audience." (Enrico Scalas, Mathematical Reviews, Issue 2012 f)