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Kniha Saved from the Cellar Jan von Plato

Saved from the Cellar

Gerhard Gentzen's Shorthand Notes on Logic and Foundations of Mathematics

Autor: Jan von Plato
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer International Publishing AG
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
3 426 Kč
Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequ...

Informace o knize

Autor
Jan von Plato
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2018
Stránek
315
EAN
9783319825021
Enbook ID
20118790
Vydavatel
Springer International Publishing AG
Hmotnost
507
Rozměry
155 x 235 x 18

Kompletní popis

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 Gödel'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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