Titlebook: Handbook of the History and Philosophy of Mathematical Practice; Bharath Sriraman Living reference work 20200th edition Origins.Natural H

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Handbook of the History and Philosophy of Mathematical Practice

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The Metaphysics of Platonism,s of course a human invention, but not a frivolous one, but created in response to a physical reality “out there.” Mathematics as practiced is also a human activity on par with physics, and the content of mathematical Platonism is that it is also created in response to a “reality” which is “out ther

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The Ghost and the Spirit of Pythagoras,king defined by this?attitude, while keeping the irreducible relationship between geometry and algebra (which subsumes arithmetic within it), . Pythagorean mathematics. The original Pythagorean attitude, at least in one reconstitution of Pythagorean thought, was, as against the Platonist attitude, t

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The Ethics of Mathematical Practice,g to emerge in publications and training practices. Some of the more ethically sensitive areas are explored and three problematic categories are distinguished and exemplified. These are (1) mathematics in public communications, (2) overt applications of mathematics with powerful social impacts, and

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On Bolzano and Greek Concepts of Continuity,anical curves. Then we show how the idea of the punctiform curve emerged in Descartes’ (Descartes, La Géométrie. Jan Maire, Leiden, 1637). The second part includes a detailed analysis of (Bolzano, Rein analytischer Beweis des Lehrsatzes, dass zwischen je zwey Werthen, die ein ent-gegengesetzes Resul