The Structural Theory of Probability: New Ideas from Computer Science on the Ancient Problem of Probability Interpretation - Brossura

Rocchi, Paolo

Brossura

ISBN 10: 1461349273 ISBN 13: 9781461349273

Casa editrice: Springer, 2012

Riassunto

The Structural Theory of Probability addresses the interpretation of probability, often debated in the scientific community. This problem has been examined for centuries; perhaps no other mathematical calculation suffuses mankind's efforts at survival as amply as probability. In the dawn of the 20th century David Hilbert included the foundations of the probability calculus within the most vital mathematical problems; Dr. Rocchi's topical and ever-timely volume proposes a novel, exhaustive solution to this vibrant issue.

Paolo Rocchi, a versatile IBM scientist, outlines a new philosophical and mathematical approach inspired by well-tested software techniques. Through the prism of computer technology he provides an innovative view on the theory of probability. Dr. Rocchi discusses in detail the mathematical tools used to clarify the meaning of probability, integrating with care numerous examples and case studies. The comprehensiveness and originality of its mathematical development make this volume an inspiring read for researchers and students alike.

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Recensione

From the reviews:

"The structural theory of probability addresses the interpretation of probability, often debated in the scientific community. ... Rocchi’s topical and ever-timely volume proposes a novel, exhaustive solution to this vibrant issue." (Rainer Beedgen, Zentralblatt MATH, Vol. 1069 (20), 2005)

"Probability theory from Pascal to Kolmogorov has focused on the events as sets of outcomes or results, and probablity as a measure attached to these sets.  But this ignores the structure of the processes which lead to the outcomes, and the author explores how taking into account the details of the process would lead to a more fundamental understanding of the nature of probability. ... One hopes that in due course the author will develop his theories further and present overwhelmingly persuasive examples of the advantages of his approach." ---MAA reviews

Contenuti

Preface. 1. Cultural Roots. 2. Critical Remarks. 3. Events and Structures. 4. Notes on Structural Analysis. 5. Certainty and Uncertainty. 6. Probability. 7. Relative Frequency. 8. Objectivism and Subjectivism. 9. Probability Calculus. 10. Conditional Probability. 11. Stochastic Systems. 12. Distributions. 13. Bivalent and Multivalent Logic. 14. Two Applications. Appendix: History's Lessons. Bibliography. Index.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461349273
• ISBN 13: 9781461349273
• Rilegatura: Copertina flessibile
• Numero di pagine: 176
• Contatto del produttore: GPSR Kontakt; ProductSafety@springernature.com; ; Slevogtstraße 3-5; Heidelberg; 69126; Germania