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Diagonalization in formal mathematics

Santos, Paulo Guilherme.

Diagonalization in formal mathematics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Diagonalization in formal mathematicsby Paulo Guilherme Santos.
Author:	Santos, Paulo Guilherme.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden :2020.
Description:	x, 89 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematics.
Online resource:	https://doi.org/10.1007/978-3-658-29111-2
ISBN:	9783658291112$q(electronic bk.)

Diagonalization in formal mathematics
Santos, Paulo Guilherme.

Diagonalization in formal mathematics[electronic resource] /by Paulo Guilherme Santos. - Wiesbaden :Springer Fachmedien Wiesbaden :2020. - x, 89 p. :ill., digital ;24 cm. - BestMasters,2625-3577. - BestMasters..

Diagonalization in Mathematics -- Diagonalization Lemma -- Fixed Point Theorems -- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.

In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo's paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics. Contents Diagonalization in Mathematics Diagonalization Lemma Fixed Point Theorems Paradoxes: Liar, Yablo's Paradox, Curry's Paradox Target Groups Researchers and students in the fields of mathematics and philosophy The Author Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.

ISBN: 9783658291112$q(electronic bk.)

Standard No.: 10.1007/978-3-658-29111-2doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA39.3 / .S268 2020

Dewey Class. No.: 510

Diagonalization in formal mathematics
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245 1 0 $a Diagonalization in formal mathematics $h [electronic resource] / $c by Paulo Guilherme Santos.
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300 $a x, 89 p. : $b ill., digital ; $c 24 cm.
490 1 $a BestMasters, $x 2625-3577
505 0 $a Diagonalization in Mathematics -- Diagonalization Lemma -- Fixed Point Theorems -- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.
520 $a In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo's paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics. Contents Diagonalization in Mathematics Diagonalization Lemma Fixed Point Theorems Paradoxes: Liar, Yablo's Paradox, Curry's Paradox Target Groups Researchers and students in the fields of mathematics and philosophy The Author Paulo Guilherme Santos is currently a PhD student at FCT, Universidade Nova de Lisboa, Portugal and at University of Tübingen, Germany. His field of work is logic, e.g. formal arithmetic, provability logic, provability predicates, and paradoxes.
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