Philosophy Behind Mathematics

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

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 881-895 from Springer

Abstract: Abstract In this chapter, we look at how philosophical standpoints widely held by mathematicians, conventionalism, and logical positivism were brought about through works of mathematicians. Starting from Poincaré’s philosophical ideas, we try to understand philosophical ideas of two mathematicians in the Vienna Circle, Hans Hahn and Karl Menger, through their mathematical works. After that, we also touch upon a problem about the relationship between natural science and mathematics, which the Vienna Circle left unsolved.

Keywords: Vienna circle; Conventionalism; Logical positivism; Poincaré; Hahn; Menger; Popper (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-40846-5_70

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DOI: 10.1007/978-3-031-40846-5_70

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