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Opinionated History of Mathematics
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The “universal grammar” of space: what geometry is innate?

32 min•20 maj 2022
Geometry might be innate in the same way as language. There are many languages, each of which is an equally coherent and viable paradigm of thought, and the same can be said for Euclidean and non-Euclidean geometries. As our native language is shaped by experience, so might our “native geometry” be. Yet substantive innate conceptions … Continue reading The “universal grammar” of space: what geometry is innate?

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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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“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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Rationalism versus empiricism
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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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