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. (shrink)

David Cahan has assembled an outstanding group of European and North American historians of science and philosophy for this intellectual biography of Helmholtz, ...

If, as is universally acknowledged, the proper goal of the mathematical sciences is the discovery of the least possible number of principles from which the universal laws of empirically given facts emerge with mathematical necessity, and thus the discovery of principles equivalent to those empirical facts, then it must appear as a duty of indubitable importance to reflect carefully on the principles that have already surfaced with some certainty in one area of the natural sciences and present them in a (...) form that really fulfills the equivalence requirement. (shrink)

The ArgumentCarl Gottfried Neumann was born in Königsberg, Prussia, in 1832 and died in Leipzig in 1925. His father was the physicist Franz Neumann, notable for his contributions not only to the study of electricity and magnetism but also to the development of physics education in nineteenth-century Germany. Carl Neumann studied at the University of Königsberg and received his doctorate in 1855 with a work on the application of elliptic integrals to mechanics. In 1858 he became Privatdozent, and in 1863 (...) Professor of Mathematics at Halle. Later that same year he moved to Basel, and in 1865 he became Ordinary Professor of Mathematics at Tübingen. Finally in 1868 he was appointed Professor of Mathematics at Leipzig, a post he held until he retired in 1911; of the two mathematics professorships at Leipzig, this was the one formerly held by F. A. Möbius, and it was officially devoted to “the higher mathematics, especially physics”. So Neumann's academic career, along with his role as one of the founding editors of the Mathematische Annalen beginning in 1869, can be seen as reflecting the enormous advance in mathematical sophistication that German physics underwent in the latter part of the nineteenth century. (shrink)