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Axiomatic Thinking II

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Cover of 'Axiomatic Thinking II'

Table of Contents

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    Book Overview
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    Chapter 1 A Framework for Metamathematics
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    Chapter 2 Simplified Cut Elimination for Kripke-Platek Set Theory
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    Chapter 3 On the Performance of Axiom Systems
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    Chapter 4 Well-Ordering Principles in Proof Theory and Reverse Mathematics
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    Chapter 5 Reflections on the Axiomatic Approach to Continuity
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    Chapter 6 Abstract Generality, Simplicity, Forgetting, and Discovery
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    Chapter 7 Varieties of Infiniteness in the Existence of Infinitely Many Primes
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    Chapter 8 Axiomatics as a Functional Strategy for Complex Proofs: The Case of Riemann Hypothesis
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    Chapter 9 What is the Church-Turing Thesis?
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    Chapter 10 Axiomatic Thinking in Physics—Essence or Useless Ornament?
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    Chapter 11 Axiomatic Thinking—Applied to Religion
Attention for Chapter 4: Well-Ordering Principles in Proof Theory and Reverse Mathematics
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Chapter title
Well-Ordering Principles in Proof Theory and Reverse Mathematics
Chapter number 4
Book title
Axiomatic Thinking II
Published by
Springer, Cham, January 2022
DOI 10.1007/978-3-030-77799-9_4
Book ISBNs
978-3-03-077798-2, 978-3-03-077799-9
Authors

Rathjen, Michael

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