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

Gödel, Kurt.

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Gödel's disjunction :/ Leon Horsten, Professor of Philosophy, University of Bristol, Philip Welch, Professor of Mathematical Logic, University of Bristol.
其他題名:	the scope and limits of mathematical knowledge /
作者:	Horsten, Leon.
其他作者:	Welch, Philip.
出版者:	Oxford, United Kingdom :Oxford University Press, : 2016.,
面頁冊數:	x, 277 p. ;25 cm.;
標題:	Mathematics - Philosophy. -
ISBN:	9780198759591 (Cloth) :

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

Gödel's disjunction :the scope and limits of mathematical knowledge /Leon Horsten, Professor of Philosophy, University of Bristol, Philip Welch, Professor of Mathematical Logic, University of Bristol. - First edition. - Oxford, United Kingdom :Oxford University Press,2016. - x, 277 p. ;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: 9780198759591 (Cloth) :NT3524

LCCN: 2016930237Subjects--Personal Names:

1086701
Gödel, Kurt.
Subjects--Topical Terms:

575254
Mathematics
--Philosophy.

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

Dewey Class. No.: 190

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