Saved from the Cellar - Jan Von Plato
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Présentation Saved From The Cellar de Jan Von Plato Format Broché
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Résumé :
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 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.
Biographie:
Jan von Plato is professor of philosophy at the University of Helsinki. He has written several books on proof theory and the development of logic, including Elements of Logical Reasoning and The Great Formal Machinery Works. His series of books on G?del began in 2020 with Can Mathematics Be Proved Consistent? Portrait of Young G?del is the fifth book in this series. ...
Sommaire:
Jan von Plato is professor of philosophy at the University of Helsinki. He has written several books on proof theory and the development of logic, including Elements of Logical Reasoning and The Great Formal Machinery Works. His series of books on G?del began in 2020 with Can Mathematics Be Proved Consistent? Portrait of Young G?del is the fifth book in this series. ...
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