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On Numbers and Games

  • Book
  • 1976
  • #Math #GameTheory
John H. Conway
@JohnHConway
(Author)
www.goodreads.com
Edition
4.2/5 27 ratings
Edition Kindle
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4.31/5 101 ratings
1 Recommender
1 Mention
ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a centur... Show More

ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

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Number of Pages: 256

ISBN: 1568811276

ISBN-13: 9781568811277

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David Deutsch @DavidDeutsch · Aug 16, 2017
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It is indeed. See e.g. Conway's book "On Numbers and Games" for how one can nevertheless reason consistently about such monsters.
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