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 4 - Normativity of the Euclidean Ideal
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
This chapter focuses on Husserl’s Ideas I (1913) and the way it manifests what has been called the “Göttingen idea of preestablished harmony between mathematics and physics.” Whereas the previous chapter discussed the notion of definiteness as Husserl’s clarification of the guiding ideal of pure mathematics, this chapter examines the same notion as a guide for the applied sciences and especially for physics. It shows how the mathematical ideal serves as an ideal of rationality, as a device that guides our empirical investigations “regulatively.”
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- Information
- Husserl and Mathematics , pp. 73 - 90Publisher: Cambridge University PressPrint publication year: 2021