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Springer Saved from the Cellar: Gerhard Gentzen's Logic & Foundations

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Description

Discover the remarkable historical record of Gerhard Gentzen's groundbreaking work on logic and mathematical foundations through his preserved shorthand notes. This book explores Gentzen's pivotal contributions to proof theory, including his development of natural deduction and sequent calculus - foundational systems that remain central to modern logic and computer science. Learn how Gentzen addressed the profound challenges posed by Godel's incompleteness theorems, particularly the question of consistency in elementary arithmetic. The volume traces his dedicated pursuit of Hilbert's proof theory and his lifelong investigation into the consistency of analysis. Part of Springer's respected Sources and Studies in the History of Mathematics and Physical Sciences series, this work provides rare insight into the intellectual journey of one of the 20th century's most influential logicians through authentic historical documentation.

Key Features

Examines Gerhard Gentzen's shorthand notes on logic, providing direct access to the thinking of a foundational figure in proof theory and mathematical logic.

Details Gentzen's invention of natural deduction and sequent calculus, proof systems that remain essential in contemporary logic, computer science, and formal verification.

Explores Gentzen's resolution of consistency problems arising from Godel's incompleteness theorems, addressing the unprovability of consistency in elementary arithmetic.

Traces Gentzen's contributions to Hilbert's proof theory programme and his investigation into the consistency of analysis before his arrest in 1945.

Published by Springer in the authoritative Sources and Studies in the History of Mathematics and Physical Sciences series for academic rigour and historical accuracy.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
17 July 2018
Listed Since
17 July 2018

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