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Saved from the Cellar - Gerhard Gentzen's Shorthand Notes on Logic and Foundations of Mathematics (Hardcover, 1st ed. 2017)
Loot Price: R4,018
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Saved from the Cellar - Gerhard Gentzen's Shorthand Notes on Logic and Foundations of Mathematics (Hardcover, 1st ed. 2017)
Series: Sources and Studies in the History of Mathematics and Physical Sciences
Expected to ship within 12 - 17 working days
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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 Goedel'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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