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Limits of mathematics = a journey through the key areas of mathematical logic /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Limits of mathematics/ by Dirk W. Hoffmann.
Reminder of title:	a journey through the key areas of mathematical logic /
Author:	Hoffmann, Dirk W.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
Description:	ix, 422 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Historic Notes -- 2 Formal Systems -- 3 Foundations of Mathematics -- 4 Peoof Thory -- 5 Computability Theory -- 6 Algorithmic Information Theory -- Model Theory.
Contained By:	Springer Nature eBook
Subject:	Logic, Symbolic and mathematical. -
Online resource:	https://doi.org/10.1007/978-3-662-70999-3
ISBN:	9783662709993

Limits of mathematics = a journey through the key areas of mathematical logic /
Hoffmann, Dirk W.

Limits of mathematicsa journey through the key areas of mathematical logic /[electronic resource] :by Dirk W. Hoffmann. - Berlin, Heidelberg :Springer Berlin Heidelberg :2025. - ix, 422 p. :ill., digital ;24 cm. - Mathematics study resources,v. 192731-3832 ;. - Mathematics study resources ;v. 19..

1 Historic Notes -- 2 Formal Systems -- 3 Foundations of Mathematics -- 4 Peoof Thory -- 5 Computability Theory -- 6 Algorithmic Information Theory -- Model Theory.

Is mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number? Modern mathematical logic of the twentieth century provides astonishing answers to these questions. This book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Gödel's incompleteness theorems, computability theory, algorithmic information theory, and model theory. The book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book. About the author Prof. Dr. Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at Karlsruhe University of Applied Sciences in Germany. He has also authored the book Gödel's Incompleteness Theorems - A Guided Tour Through Kurt Gödel's Historic Proof.

ISBN: 9783662709993

Standard No.: 10.1007/978-3-662-70999-3doiSubjects--Topical Terms:

532051
Logic, Symbolic and mathematical.

LC Class. No.: QA9 / .H6413 2025

Dewey Class. No.: 511.3

Limits of mathematics = a journey through the key areas of mathematical logic /
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300 $a ix, 422 p. : $b ill., digital ; $c 24 cm.
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505 0 $a 1 Historic Notes -- 2 Formal Systems -- 3 Foundations of Mathematics -- 4 Peoof Thory -- 5 Computability Theory -- 6 Algorithmic Information Theory -- Model Theory.
520 $a Is mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number? Modern mathematical logic of the twentieth century provides astonishing answers to these questions. This book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Gödel's incompleteness theorems, computability theory, algorithmic information theory, and model theory. The book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book. About the author Prof. Dr. Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at Karlsruhe University of Applied Sciences in Germany. He has also authored the book Gödel's Incompleteness Theorems - A Guided Tour Through Kurt Gödel's Historic Proof.
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