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Mathesis Universalis, Computability and Proof

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Cover of 'Mathesis Universalis, Computability and Proof'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction: Mathesis Universalis , Proof and Computation
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    Chapter 2 Diplomacy of Trust in the European Crisis: Contributions by the Alexander von Humboldt Foundation
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    Chapter 3 Mathesis Universalis and Homotopy Type Theory
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    Chapter 4 Note on the Benefit of Proof Representations by Name
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    Chapter 5 Constructive Proofs of Negated Statements
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    Chapter 6 On the Constructive and Computational Content of Abstract Mathematics
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    Chapter 7 Addressing Circular Definitions via Systems of Proofs
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    Chapter 8 The Monotone Completeness Theorem in Constructive Reverse Mathematics
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    Chapter 9 From Mathesis Universalis to Fixed Points and Related Set-Theoretic Concepts
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    Chapter 10 Through an Inference Rule, Darkly
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    Chapter 11 Objectivity and Truth in Mathematics: A Sober Non-platonist Perspective
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    Chapter 12 From Mathesis Universalis to Provability, Computability, and Constructivity
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    Chapter 13 Analytic Equational Proof Systems for Combinatory Logic and λ -Calculus:A Survey
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    Chapter 14 Computational Interpretations of Classical Reasoning: From the Epsilon Calculus to Stateful Programs
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    Chapter 15 The Concepts of Proof and Ground
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    Chapter 16 On Relating Theories: Proof-Theoretical Reduction
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    Chapter 17 Program Extraction from Proofs: The Fan Theorem for Uniformly Coconvex Bars
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    Chapter 18 Counting and Numbers, from Pure Mathesis to Base Conversion Algorithms
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    Chapter 19 Point-Free Spectra of Linear Spreads
Attention for Chapter 9: From Mathesis Universalis to Fixed Points and Related Set-Theoretic Concepts
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Chapter title
From Mathesis Universalis to Fixed Points and Related Set-Theoretic Concepts
Chapter number 9
Book title
Mathesis Universalis, Computability and Proof
Published by
Springer, Cham, January 2019
DOI 10.1007/978-3-030-20447-1_9
Book ISBNs
978-3-03-020446-4, 978-3-03-020447-1
Authors

Gerhard Jäger, Silvia Steila

View on publisher site

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