G del s Disjunction is popular PDF and ePub book, written by Leon Horsten in 2016-09-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, G del s Disjunction can be Read Online from any device for your convenience.
G del s Disjunction Book PDF Summary
The logician Kurt Gödel 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 the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Gödel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.
Detail Book of G del s Disjunction PDF
- Author : Leon Horsten
- Release : 08 September 2016
- Publisher : Oxford University Press
- ISBN : 9780191077692
- Genre : Mathematics
- Total Page : 288 pages
- Language : English
- PDF File Size : 9,6 Mb
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