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Gentzen's Centenary

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Cover of 'Gentzen's Centenary'

Table of Contents

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    Book Overview
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    Chapter 1 Gentzen’s Consistency Proof in Context
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    Chapter 2 Gentzen’s Anti-Formalist Views
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    Chapter 3 The Use of Trustworthy Principles in a Revised Hilbert’s Program
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    Chapter 4 On Gentzen’s First Consistency Proof for Arithmetic
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    Chapter 5 From Hauptsatz to Hilfssatz
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    Chapter 6 A Note on How to Extend Gentzen’s Second Consistency Proof to a Proof of Normalization for First Order Arithmetic
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    Chapter 7 A Direct Gentzen-Style Consistency Proof for Heyting Arithmetic
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    Chapter 8 Gentzen’s Original Consistency Proof and the Bar Theorem
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    Chapter 9 Goodstein’s Theorem Revisited
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    Chapter 10 Cut Elimination In Situ
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    Chapter 11 Spector’s Proof of the Consistency of Analysis
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    Chapter 12 Climbing Mount $$\varepsilon _{0}$$
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    Chapter 13 Semi-Formal Calculi and Their Applications
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    Chapter 14 Proof Theory for Theories of Ordinals III: $$\Pi _{N}$$ -Reflection
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    Chapter 15 A Proof-Theoretic Analysis of Theories for Stratified Inductive Definitions
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    Chapter 16 Classifying Phase Transition Thresholds for Goodstein Sequences and Hydra Games
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    Chapter 17 Non-deterministic Epsilon Substitution Method for PA and ID 1
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    Chapter 18 A Game-Theoretic Computational Interpretation of Proofs in Classical Analysis
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    Chapter 19 Well-Ordering Principles and Bar Induction
Attention for Chapter 13: Semi-Formal Calculi and Their Applications
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Chapter title
Semi-Formal Calculi and Their Applications
Chapter number 13
Book title
Gentzen's Centenary
Published by
Springer, Cham, January 2015
DOI 10.1007/978-3-319-10103-3_13
Book ISBNs
978-3-31-910102-6, 978-3-31-910103-3
Authors

Wolfram Pohlers

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