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arxiv: 1312.2133 · v1 · pith:F2O24GLSnew · submitted 2013-12-07 · 🧮 math.HO

Unity and Disunity in Mathematics

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keywords mathematicsunitymathematicaladaptedambiguitiesbelievecapablecertain
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The unity of mathematics has its power to compactify experiences in a form capable of being transferred and modified or adapted to new mathematical situations. Yet, we believe that the phrase "Unity of Mathematics" expresses a dream, an ideal that doesn't exist. We shall point to diachronic and cross cultural disunities, to semantic, semiotic and philosophic ambiguities and to the non-acceptance of certain mathematical texts by some practitioners of the subject.

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