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The World as a Mathematical Game: John Von Neumann and Twentieth Century Science (2009)

The World as a Mathematical Game

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"The World as a Mathematical Game" by Giorgio Israel, Ana Millán Gasca is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique 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.

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Best For: Readers interested in the historical development of mathematical ideas in science and philosophy.
Focus: The book examines John von Neumann's role in advancing the mathematization of the physical world and the ethical implications of exact sciences.
Covers: Historical contributions from Galileo, Newton, Leibniz, and the Vienna Circle leading up to von Neumann's work.
Why It Matters: It highlights the evolution of mathematical thought as a foundation for scientific and ethical decision-making in the twentieth century.

"The World as a Mathematical Game" by Giorgio Israel, Ana Millán Gasca is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Giorgio Israel, Ana Millán Gasca

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique 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.

AuthorGiorgio Israel, Ana Millán Gasca
PublisherBirkhäuser
Published2009-03-13
ISBN-139783764398958
BindingHardcover
Pages208
LanguageEnglish
SubjectsScience
TopicCore Mathematics
SeriesScience Networks. Historical Studies

Format: Hardcover

Length: 208 pages

Language: English

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