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Saved from the cellarGerhard Gentzen...

Gentzen, Gerhard.

Saved from the cellarGerhard Gentzen's shorthand notes on logic and foundations of mathematics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Saved from the cellarby Jan von Plato.
Reminder of title:	Gerhard Gentzen's shorthand notes on logic and foundations of mathematics /
Author:	Plato, Jan von.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 315 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-42120-9
ISBN:	9783319421209$q(electronic bk.)

Saved from the cellarGerhard Gentzen's shorthand notes on logic and foundations of mathematics /
Plato, Jan von.

Saved from the cellarGerhard Gentzen's shorthand notes on logic and foundations of mathematics /[electronic resource] :by Jan von Plato. - Cham :Springer International Publishing :2017. - x, 315 p. :ill., digital ;24 cm. - Sources and studies in the history of mathematics and physical sciences,2196-8810. - Sources and studies in the history of mathematics and physical sciences..

Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another noteworthy achievement is his resolution of the embarrassing situation created by Godel's incompleteness results, especially the second one about the unprovability of consistency of elementary arithmetic. After these successes, Gentzen dedicated the rest of his short life to the main problem of Hilbert's proof theory, the question of the consistency of analysis. He was arrested in the summer of 1945 with other professors of the German University of Prague and died soon afterward of starvation in a prison cell. Attempts at locating his lost manuscripts failed at the time, but several decades later, two slim folders of shorthand notes were found. In this volume, Jan von Plato gives an overview of Gentzen's life and scientific achievements, based on detailed archival and systematic studies, and essential for placing the translations of shorthand manuscripts that follow in the right setting. The materials in this book are singular in the way they show the birth and development of Gentzen's central ideas and results, sometimes in a well-developed form, and other times as flashes into the anatomy of the workings of a unique mind.

ISBN: 9783319421209$q(electronic bk.)

Standard No.: 10.1007/978-3-319-42120-9doiSubjects--Personal Names:

666321
Gentzen, Gerhard.
Subjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA39.3

Dewey Class. No.: 510

Saved from the cellarGerhard Gentzen's shorthand notes on logic and foundations of mathematics /
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520 $a Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another noteworthy achievement is his resolution of the embarrassing situation created by Godel's incompleteness results, especially the second one about the unprovability of consistency of elementary arithmetic. After these successes, Gentzen dedicated the rest of his short life to the main problem of Hilbert's proof theory, the question of the consistency of analysis. He was arrested in the summer of 1945 with other professors of the German University of Prague and died soon afterward of starvation in a prison cell. Attempts at locating his lost manuscripts failed at the time, but several decades later, two slim folders of shorthand notes were found. In this volume, Jan von Plato gives an overview of Gentzen's life and scientific achievements, based on detailed archival and systematic studies, and essential for placing the translations of shorthand manuscripts that follow in the right setting. The materials in this book are singular in the way they show the birth and development of Gentzen's central ideas and results, sometimes in a well-developed form, and other times as flashes into the anatomy of the workings of a unique mind.
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