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Mathematics - Probability Theory and Stochastic Processes | The Structural Theory of Probability - New Ideas from Computer Science on the Ancient Problem

The Structural Theory of Probability

New Ideas from Computer Science on the Ancient Problem of Probability Interpretation

Rocchi, Paolo

2003, IX, 162 p.

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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.

Content Level » Research

Related subjects » Algebra - Epistemology & Philosophy of Science - Microeconomics / Industrial Organization - Probability Theory and Stochastic Processes - Statistics - Theoretical Computer Science

Table of contents 

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.

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