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Godels Disjunction The Scope And Limits Of Mathematical Knowledge Horsten

Name: Godels Disjunction The Scope And Limits Of Mathematical Knowledge Horsten
SKU: BELL-5890966
Price: 31.00 USD
Availability: InStock
Rating: 4.25 (88 reviews)

SKU: BELL-5890966

$ 31.00 ~~$ 45.00~~ (-31%)

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88 reviews

Godels Disjunction The Scope And Limits Of Mathematical Knowledge Horsten instant download after payment.

Publisher: Oxford University Press

File Extension: PDF

File size: 1.58 MB

Pages: 277

Author: Horsten, Leon; Welsh, Philip

ISBN: 9780191077685, 9780191820373, 0191077682, 0191820377

Language: English

Year: 2016

Product desciption

Godels Disjunction The Scope And Limits Of Mathematical Knowledge Horsten by Horsten, Leon; Welsh, Philip 9780191077685, 9780191820373, 0191077682, 0191820377 instant download after payment.

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is 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 Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.