Maker’s knowledge: early modern philosophical interpretations of geometry
Opinionated History of Mathematics - En podcast af Intellectual Mathematics
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Philosophical movements in the 17th century tried to mimic the geometrical method of the ancients. Some saw Euclid—with his ruler and compass in hand—as a “doer,” and thus characterised geometry as a “maker’s knowledge.” Others got into a feud about what to do when Euclid was at odds with Aristotle. Descartes thought Euclid’s axioms should be justified via theology.
