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Ideas for 'fragments/reports', 'Mathematics and Philosophy: grand and little' and 'Beyond internal Foundations to external Virtues'

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1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
     Full Idea: Philosophy's role consists in informing mathematics of its own speculative grandeur.
     From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.11)
     A reaction: Revealing the grandeur of something sounds more like a rhetorical than a rational exercise. How would you reveal the grandeur of a sunset to someone?