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Proven Impossible: Elementary Proofs of Profound Impossibility from Arrow, Bell, Chaitin, Gödel, Turing and More - Hardcover

 
9781009349505: Proven Impossible: Elementary Proofs of Profound Impossibility from Arrow, Bell, Chaitin, Gödel, Turing and More
  • PublisherCambridge University Press
  • Publication date2024
  • ISBN 10 1009349503
  • ISBN 13 9781009349505
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages270

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Hardcover. Condition: new. Hardcover. In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form the mathematical background of new technologies and Nobel prizes. But to fully appreciate these theorems and their impact on mathematics and beyond, you must understand their proofs. This book is the first to present these proofs for a broad, lay audience. It fully develops the simplest rigorous proofs found in the literature, reworked to contain less jargon and notation, and more background, intuition, examples, explanations, and exercises. Amazingly, all of the proofs in this book involve only arithmetic and basic logic and are elementary, starting only from first principles and definitions. Very little background knowledge is required, and no specialized mathematical training all you need is the discipline to follow logical arguments and a pen in your hand. Written for any motivated reader with a high-school knowledge of mathematics, and the discipline to follow logical arguments, this book presents the proofs for revolutionary impossibility theorems in an accessible way, with less jargon and notation, and more background, intuition, examples, explanations, and exercises. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009349505

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