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Hardcover Godel's Disjunction: The Scope and Limits of Mathematical Knowledge Book

ISBN: 0198759592

ISBN13: 9780198759591

Godel's Disjunction: The Scope and Limits of Mathematical Knowledge

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by...

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