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Opinionated History of Mathematics
HistoriaVetenskap

Rationalism versus empiricism

44 min•18 september 2021
Rationalism says mathematical knowledge comes from within, from pure thought; empiricism that it comes from without, from experience and observation. Rationalism led Kepler to look for divine design in the universe, and Descartes to reduce all mechanical phenomena to contact mechanics and all curves in geometry to instrumental generation. Empiricism led Newton to ignore the … Continue reading Rationalism versus empiricism

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Death of Archimedes
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Torricelli’s trumpet is not counterintuitive
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Did Copernicus steal ideas from Islamic astronomers?
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Operational Einstein: constructivist principles of special relativity
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Review of Netz’s New History of Greek Mathematics
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The “universal grammar” of space: what geometry is innate?
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“Repugnant to the nature of a straight line”: Non-Euclidean geometry
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Rationalism 2.0: Kant’s philosophy of geometry
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Cultural reception of geometry in early modern Europe
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Maker’s knowledge: early modern philosophical interpretations of geometry
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