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A comment on Foundational Anxieties, Modern Mathematics, and the Political Imagination. Parent comment
Yup. See e.g. https://en.wikipedia.org/wiki/Synthetic_differential_geometr... for another way in which the opposition between "analytic" and "synthetic" methods OP mentions can play out.
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Yup. See e.g. https://en.wikipedia.org/wiki/Synthetic_differential_geometr... for another way in which the opposition between "analytic" and "synthetic" methods OP mentions can play out.