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...Greek mathematics introduced the quest for general propositions which could be proved in such a way as to be objectively persuasive. In other words, where the Egyptians had been able to calculate the volume of a certain cylinder and verify that the result was correct, or at least suitable for their, usually practical, purposes, the Greeks found the general formula for the volume of any cylinder and proved why that formula was right.

Serafina Cuomo. Ancient Mathematics.
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