The World as a Mathematical Game: John von Neumann and Twentieth Century Science

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Название:The World as a Mathematical Game: John von Neumann and Twentieth Century Science

Автор: Giorgio Israel, Ana Millan Gasca

Издательство: Birkhauser Basel

ISBN: 3764398957

Год: 2009

Страниц: 207 pages

Язык:Английский

Формат: PDF

Размер: 1,1 MB

Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathematique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.

From the reviews:

“All the most important features of von Neumann’s impact on 20th-century economics – from the spread of the axiomatic method to the popularization of several analytical techniques to the idea itself of ‘modelization’ as the only proper way to investigate economic phenomena … it follows that this book is a real boon, as well as a must-read, for every historian or economist wishing to understand how, and by whom, modern neoclassical economics has been shaped in the first two or three decades after World War II.” (Nicola Giocoli, History of Economic Ideas, Vol. 18 (1), 2010)

“The World as a Mathematical Game says that the book ‘provides the first comprehensive scientific and intellectual biography of John von Neumann’. It covers the ground well and thoroughly in 175 pages of text, moving chronologically through his astonishing career. … The authors have written their book for a general audience. … In any event, it is good to have this outline of von Neumann’s work.” (Underwood Dudley, The Mathematical Association of America, October, 2009)