Screen LibrarySaved from the Cellar : Gerhard Gentzen's Shorthand Notes on Logic and Foundations of Mathematics /
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 G del's incompleteness results,...
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| Published: |
Springer International Publishing : Imprint: Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Sources and Studies in the History of Mathematics and Physical Sciences,
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| Online Access: |
http://dx.doi.org/10.1007/978-3-319-42120-9 |
| Summary: |
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 G del'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 pro |
| Carrier Form: | 1 online resource(x,315pages): illustrations. |
| ISBN: | 9783319421209 |
| Index Number: | QA21 |
| CLC: | O141 |
| Contents: | Part I: A Sketch of Gentzen's Life and Work -- 1. Overture -- 2. Gentzen's years of study -- Dr. Gentzen's arduous years in Nazi Germany -- 4. The scientific accomplishments -- 5. Loose ends -- 6. Gentzen's genuis -- Part II: Overview of the Shorthand Notes -- 1. Gentzen's series of stenographic manuscripts -- 2. The items in this collection -- Practical remarks on the manuscripts -- Manuscript illustrations -- The German alphabet in Latin, Sutterlin, and Fraktur Type -- Bibliography for parts I and II -- Index of names for Parts I and II -- Part III: The Original Writings -- 1. Reduction of |