東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Diagonalization in formal mathematics

Santos, Paulo Guilherme.

Linked to FindBook

Google Book

Amazon

博客來

Diagonalization in formal mathematics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Diagonalization in formal mathematics/ by Paulo Guilherme Santos.
Author:	Santos, Paulo Guilherme.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2020.,
Description:	x, 89 p. :ill., digital ;24 cm.
[NT 15003449]:	Diagonalization in Mathematics -- Diagonalization Lemma -- Fixed Point Theorems -- Paradoxes: Liar, Yablo's Paradox, Curry's Paradox.
Contained By:	Springer eBooks
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-658-29111-2
ISBN:	9783658291112

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

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

515831
Mathematics.

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

Dewey Class. No.: 510

Diagonalization in formal mathematics
LDR:02146nmm a2200349 a 4500 001 2215811
003 DE-He213
005 20200624154751.0
006 m d
007 cr nn 008maaau
008 201120s2020 gw s 0 eng d
020 $a 9783658291112 $q (electronic bk.)
020 $a 9783658291105 $q (paper)
024 7 $a 10.1007/978-3-658-29111-2 $2 doi
035 $a 978-3-658-29111-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA39.3 $b .S268 2020
072 7 $a PBC $2 bicssc
072 7 $a MAT018000 $2 bisacsh
072 7 $a PBC $2 thema
072 7 $a PBCD $2 thema
082 0 4 $a 510 $2 23
090 $a QA39.3 $b .S237 2020
100 1 $a Santos, Paulo Guilherme. $3 3447641
245 1 0 $a Diagonalization in formal mathematics $h [electronic resource] / $c by Paulo Guilherme Santos.
260 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2020.
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.
650 0 $a Mathematics. $3 515831
650 1 4 $a Mathematical Logic and Foundations. $3 892656
650 2 4 $a Logic. $3 529544
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a BestMasters. $3 2056364
856 4 0 $u https://doi.org/10.1007/978-3-658-29111-2
950 $a Mathematics and Statistics (Springer-11649)