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HoP 086 - Serafina Cuomo on Ancient Mathematics

History of Philosophy Without Any Gaps

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The Unifying Principle of Mathematics

The ancient were aware that there are limitations to what mathematics can do. Number in so far as it's underlies arithmetic, geometry and in the form of proportions is a good candidate for a unifying principle. Most people probably would have thought that numbers were concrete, real, to do with objects rather than abstract. But I think your average Greek or Roman in the street often thought of number as something that is totally concrete.

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