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Phenomenology and Mathematics
Phenomenology and Mathematics
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The relationship between phenomenology and mathematics is explored, focusing on Edmund Husserl's mathematical thought and the contributions of other phenomenologists and phenomenologically-oriented mathematicians. It discusses core concepts of phenomenology, such as intention and intuition, and their impact on phenomenological approaches to mathematics, including natural number, continuum, geometry, formal systems, and applicability. The Element also situates phenomenology in relation to other schools of philosophy of mathematics.
Format: Paperback / softback
Length: 80 pages
Publication date: 21 December 2023
Publisher: Cambridge University Press
This Element delves into the intricate relationship between phenomenology and mathematics, with a primary focus on the mathematical thought of Edmund Husserl, the founder of phenomenology. However, it also encompasses the perspectives of other phenomenologists and phenomenologically-oriented mathematicians, such as Weyl, Becker, Gödel, and Rota. After providing a comprehensive overview of Husserl's phenomenology, the author traces his journey from his early mathematical studies. The core concepts of phenomenology, including intention and intuition, played a significant role in shaping the development of a phenomenological approach to mathematics.
Within the realm of phenomenology, the study of natural numbers, the continuum, geometry, formal systems, and the applicability of mathematics are explored. Moreover, this Element situates the phenomenological approach within the broader context of other schools of thought in the philosophy of mathematics, including logicism, formalism, intuitionism, Platonism, the French epistemological school, and the philosophy of mathematical practice. By examining these interconnections, the Element sheds light on the rich and multifaceted relationship between phenomenology and mathematics, offering a deeper understanding of the philosophical and methodological implications of this interdisciplinary field.
ISBN-13: 9781108995399
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