Phenomenology and Mathematics
“Phenomenology and Mathematics” by Michael Roubach, published by Cambridge University Press on December 21, 2023, is an 80-page exploration of the intricate relationship between phenomenology and mathematics. This work primarily focuses on the mathematical thought of Edmund Husserl, the founder of phenomenology, while also discussing contributions from other notable figures such as Weyl, Becker, Gödel, and Rota. The book outlines key concepts of Husserl’s phenomenology and traces his journey from early mathematical studies, highlighting how core ideas like intention and intuition have influenced a phenomenological approach to mathematics.
Readers will find a detailed examination of phenomenological conceptions related to natural numbers, the continuum, geometry, and formal systems. The text also addresses the applicability of mathematics and situates the phenomenological perspective within the broader context of various philosophical schools, including logicism, formalism, intuitionism, and Platonism. This edition provides a concise yet comprehensive overview of how phenomenology intersects with mathematical thought, making it a valuable resource for those interested in the philosophy of mathematics and its social aspects.
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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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