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Phenomenology and Mathematics.

Phenomenology and Mathematics.

・ISBN 978-1-009-46250-1 hard GB£ 55.00

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・ISBN 978-1-108-99539-9 paper GB£ 18.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-108-99391-3

著者・編者Roubach, Michael,
シリーズElements in the Philosophy of Mathematics
出版社(Cambridge U. Pr., UK)
出版年月2023.10
ページ数75 pp.
言語ENG
ニュース番号<709-81>

解説

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, Goedel, 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.