Probability ideas are the success story common to the growth of the modern natural and social sciences. Chance, indeterminism, and statistical inference have radically and globally transformed the sciences in a "probabilistic revolution." This monumental work traces the rise, the transformation, and the diffusion of probabilistic and statistical thinking in the nineteenth and early twentieth centuries. It is less concerned with specific technical discoveries than with locating the probability revolution historically within a larger framework of ideas. There is no comparable study that treats the rise of probability and statistics in such scope and depth. The contributors - scientists, historians and philosophers from eight countries - make it possible for readers trained in many disciplines to see why the probabilistic revolution has been so complete and so successful, and how the rejection of uniform causality by quantum physics, the stochastic nature of evolutionary biology, the indeterminisms of human psychology, and the random processes of many economic activities are all manifestations of an underlying unifying concept. Volume 1 opens with provocative essays on scientific revolutions in general and the probabilistic revolution in particular by Thomas S. Kuhn, I. Bernard Cohen, and Ian Hacking. Other authors discuss the evolution of philosophical ideas about probability and their articulation and elaboration in the mathematics of the nineteenth century and describe the first applications of techniques of statistical inference during that century: Topics include the uses and abuses of official statistics by the bureaucrats of France, England, and Prussia; the use - or neglect - of statistics by nascent sociologists, demographers, and insurance actuaries; and the emergence of statistical methodologies in fields ranging from social reform to agricultural production. The emphasis in volume 2 is on the more recent scientific advances of the probabilistic approach in various natural and social sciences, from "random walks" in the stock market to random drift in natural selection, and from indeterminate events at the atomic level to unpredictable actions at the human level.

This monumental work traces the rise, the transformation, and the diffusion of probabilistic and statistical thinking in the nineteenth and twentieth centuries.

"This book presents a comprehensive, insightful survey of the history of probability, both in terms of its scientific and its social uses. . . . It represents a substantial contribution not only to the history of probability but also to our understanding of the Enlightenment in general".--Joseph W. Dauben, "American Scientist".

Traces the revolution in statistics that gave rise to artificial intelligence and predictive algorithms refiguring contemporary capitalism. Our finances, politics, media, opportunities, information, shopping and knowledge production are mediated through algorithms and their statistical approaches to knowledge; increasingly, these methods form the organizational backbone of contemporary capitalism. Revolutionary Mathematics traces the revolution in statistics and probability that has quietly underwritten the explosion of machine learning, big data and predictive algorithms that now decide many aspects of our lives. Exploring shifts in the philosophical understanding of probability in the late twentieth century, Joque shows how this was not merely a technical change but a wholesale philosophical transformation in the production of knowledge and the extraction of value. This book provides a new and unique perspective on the dangers of allowing artificial intelligence and big data to manage society. It is essential reading for those who want to understand the underlying ideological and philosophical changes that have fueled the rise of algorithms and convinced so many to blindly trust their outputs, reshaping our current political and economic situation.

There exist literary histories of probability and scientific histories of probability, but it has generally been thought that the two did not meet. Campe begs to differ. Mathematical probability, he argues, took over the role of the old probability of poets, orators, and logicians, albeit in scientific terms. Indeed, mathematical probability would not even have been possible without the other probability, whose roots lay in classical antiquity. The Game of Probability revisits the seventeenth and eighteenth-century "probabilistic revolution," providing a history of the relations between mathematical and rhetorical techniques, between the scientific and the aesthetic. This was a revolution that overthrew the "order of things," notably the way that science and art positioned themselves with respect to reality, and its participants included a wide variety of people from as many walks of life. Campe devotes chapters to them in turn. Focusing on the interpretation of games of chance as the model for probability and on the reinterpretation of aesthetic form as verisimilitude (a critical question for theoreticians of that new literary genre, the novel), the scope alone of Campe's book argues for probability's crucial role in the constitution of modernity.