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  3. Phenomenology and Mathematics
  • Cited by 8
Publisher:
Cambridge University Press
Online publication date:
November 2023
Print publication year:
2023
Online ISBN:
9781108993913
DOI:
https://doi.org/10.1017/9781108993913
Subjects:
Mathematics (general), Philosophy: General Interest, Philosophy of Science, Philosophy
Series:
Elements in the Philosophy of Mathematics
Information

Book description

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.

References

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