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Series:   Elements in the Philosophy of Mathematics

Phenomenology and Mathematics

Published online by Cambridge University Press:  27 November 2023

Michael Roubach
Michael Roubach
Affiliation:
Hebrew University of Jerusalem

Summary

This Element explores the relationship between phenomenology and mathematics. Its focus is the mathematical thought of Edmund Husserl, founder of phenomenology, but other phenomenologists and phenomenologically-oriented mathematicians, including Weyl, Becker, Gödel, and Rota, are also discussed. After outlining the basic notions of Husserl's phenomenology, the author traces Husserl's journey from his early mathematical studies. Phenomenology's core concepts, such as intention and intuition, each contributed to the emergence of a phenomenological approach to mathematics. This Element examines the phenomenological conceptions of natural number, the continuum, geometry, formal systems, and the applicability of mathematics. It also situates the phenomenological approach in relation to other schools in the philosophy of mathematics-logicism, formalism, intuitionism, Platonism, the French epistemological school, and the philosophy of mathematical practice.
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Keywords

phenomenologymathematicsintuitionconstitutionHusserl
Type
Element
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Series: Elements in the Philosophy of Mathematics
Online ISBN: 9781108993913
Publisher: Cambridge University Press
Print publication: 21 December 2023

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Phenomenology and Mathematics
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Phenomenology and Mathematics
  • Michael Roubach, Hebrew University of Jerusalem
  • Online ISBN: 9781108993913
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