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Gödel's disjunction : = the scope a...

Horsten, Leon,

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Gödel's disjunction : = the scope and limits of mathematical knowled1g /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Gödel's disjunction :/ Leon Horsten & Philip Welch.
Reminder of title:	the scope and limits of mathematical knowled1g /
remainder title:	Godel's disjunction
Author:	Horsten, Leon,
other author:	Welch, Philip,
Published:	Oxford, United Kingdom :Oxford University Press, : 2016.,
Description:	x, 277 p. :ill ;25 cm.
Subject:	Mathematics - Philosophy. -
ISBN:	9780198759591

Gödel's disjunction : = the scope and limits of mathematical knowled1g /
Horsten, Leon,

Gödel's disjunction :the scope and limits of mathematical knowled1g /Godel's disjunction Leon Horsten & Philip Welch. - 1st ed. - Oxford, United Kingdom :Oxford University Press,2016. - x, 277 p. :ill ;25 cm.

Includes bibliographical references and index.

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.--

ISBN: 9780198759591GBP65.00

LCCN: 2016930237Subjects--Personal Names:

2010695
Gödel, Kurt.
Subjects--Topical Terms:

523930
Mathematics
--Philosophy.

LC Class. No.: QA8.4 / .H67 2016

Dewey Class. No.: 190

Gödel's disjunction : = the scope and limits of mathematical knowled1g /
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245 1 0 $a Gödel's disjunction : $b the scope and limits of mathematical knowled1g / $c Leon Horsten & Philip Welch.
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246 3 1 $a The scope and limits of mathematical knowledg
250 $a 1st ed.
260 # $a Oxford, United Kingdom : $b Oxford University Press, $c 2016.
300 $a x, 277 p. : $b ill ; $c 25 cm.
504 $a Includes bibliographical references and index.
520 8 $a 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.-- $c Source other than Library of Congress.
600 1 0 $a Gödel, Kurt. $3 2010695
650 # 0 $a Mathematics $x Philosophy. $3 523930
700 1 # $a Welch, Philip, $e author. $3 3205394