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Proven Impossible - Elementary Proofs of Profound Impossibility from Arrow, Bell, Chaitin, Gödel, Turing and More
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Proven Impossible - Elementary Proofs of Profound Impossibility from Arrow, Bell, Chaitin, Gödel, Turing and More
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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.
General
Imprint: |
Cambridge UniversityPress
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Country of origin: |
United Kingdom |
Release date: |
2024 |
Authors: |
Dan Gusfield
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Pages: |
256 |
ISBN-13: |
978-1-00-934950-5 |
Categories: |
Books
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LSN: |
1-00-934950-3 |
Barcode: |
9781009349505 |
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