Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical PerspectiveCambridge University Press, 28 de gen. 1994 This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, as well as the main mathematical theories of today, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. The principal audience for the book comprises philosophers and historians of science, mathematicians concerned with probability and statistics, and physicists. The book will also interest anyone fascinated by twentieth-century scientific developments because the birth of modern probability is closely tied to the change from a determinist to an indeterminist world-view. |
Continguts
| 1 | |
Pathways to modern probability | 27 |
Probability in statistical physics | 71 |
Quantum mechanical probability and indeterminism | 142 |
Classical embeddings of probability and chance | 164 |
Von Mises frequentist probabilities | 179 |
Kolmogorovs measure theoretic probabilities | 198 |
De Finettis subjective probabilities | 238 |
Nicole Oresme and the ergodicity of rotations | 279 |
Bibliography | 289 |
| 317 | |
| 321 | |
Frases i termes més freqüents
application approach arbitrary assumed assumption atoms average axioms Boltzmann Borel Brownian motion calculable calculus of probability causal chance classical mechanics collisions concept of probability continued fractions decimal defined definition denumerable denumerable additivity derivation determined discussion Einstein ensemble entropy equation equidistribution ergodic hypothesis ergodic theory example exchangeable Finetti finite number follows formulation foundations frequentist function given gives Gyldén Heisenberg Hilbert idea independent indeterminism indeterminist infinite infinity interpretation interval Khintchine kinetic theory Kolmogorov large numbers later law of large Lebesgue measure limit of relative Markov mathematical Maxwell measure theoretic probability Mises modern probability molecular number of molecules observable Oresme paper philosophy Poincaré possible prob probabilistic laws probability distribution probability law probability theory problem quantum mechanics quantum theory radioactivity random processes random variables real number relation relative frequency says Schrödinger Smoluchowski space statistical mechanics statistical physics subjective probability theorem trajectory velocity Weyl