Poincaré’s Geometric Worldview and Philosophy

Ken’ichi Ohshika ()
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Ken’ichi Ohshika: Gakushuin University, Department of Mathematics, Faculty of Science

Chapter Chapter 10 in Geometry in History, 2019, pp 435-450 from Springer

Abstract: Abstract Poincaré is one of the pioneers in non-Euclidean geometry and topology. In this paper, we shall first review his work on non-Euclidean geometry and topology. Then we shall see how his researches in these fields are reflected in his philosophical work, especially his philosophical position often called “conventionalism”.

Keywords: Poincaré; Conventionalism; Analysis situs; 01A55; 01A60; 01A70; 57-03 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-13609-3_10

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DOI: 10.1007/978-3-030-13609-3_10

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