Book contents
- Husserl and Mathematics
- Husserl and Mathematics
- Copyright page
- Dedication
- Contents
- Acknowledgments
- Abbreviations
- Introduction
- Chapter 1 From the Division of Labor to Besinnung
- Chapter 2 The Chimera of Logicism: Husserl’s Criticism of Frege
- Chapter 3 Clarifying the Goal of Modern Mathematics: Definiteness
- Chapter 4 Normativity of the Euclidean Ideal
- Chapter 5 Husserl’s Formal and Transcendental Logic (1929)
- Chapter 6 Gödel, Skolem, and the Crisis of the 1930s
- Chapter 7 Husserl’s Combination View of Mathematics
- Chapter 8 Kant and Husserl’s Critical View of Logic
- Epilogue A Look Ahead
- Bibliography
- Index
Chapter 6 - Gödel, Skolem, and the Crisis of the 1930s
Published online by Cambridge University Press: 29 July 2021
- Husserl and Mathematics
- Husserl and Mathematics
- Copyright page
- Dedication
- Contents
- Acknowledgments
- Abbreviations
- Introduction
- Chapter 1 From the Division of Labor to Besinnung
- Chapter 2 The Chimera of Logicism: Husserl’s Criticism of Frege
- Chapter 3 Clarifying the Goal of Modern Mathematics: Definiteness
- Chapter 4 Normativity of the Euclidean Ideal
- Chapter 5 Husserl’s Formal and Transcendental Logic (1929)
- Chapter 6 Gödel, Skolem, and the Crisis of the 1930s
- Chapter 7 Husserl’s Combination View of Mathematics
- Chapter 8 Kant and Husserl’s Critical View of Logic
- Epilogue A Look Ahead
- Bibliography
- Index
Summary
As a species of the so-called mathematics first view, Husserl’s view of mathematics and logic responds to changes in the foundations of mathematics. In this regard, the new developments of the 1930s are of great interest – to what extent was Husserl aware of them, and how was this reflected in his philosophical views? I have Gödel’s incompleteness theorems and the so-called Löwenheim-Skolem theorem in mind – both of which shook the foundations of mathematics. (To be sure, the latter theorem was first established in the 1920s, but it seems that Husserl only found out about it in the 1930s.) I will first (in Section 6.1) show how Husserl learned about Gödel’s incompleteness theorems as well as the general idea of the Löwenheim-Skolem theorem (see Hartimo 2017b for more detail).
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- Husserl and Mathematics , pp. 136 - 157Publisher: Cambridge University PressPrint publication year: 2021