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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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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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“Let it have been drawn”: the role of diagrams in geometry
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Why construct?
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Created equal: Euclid’s Postulates 1-4
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That which has no part: Euclid’s definitions
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What makes a good axiom?
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Consequentia mirabilis: the dream of reduction to logic
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Read Euclid backwards: history and purpose of Pythagorean Theorem
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Singing Euclid: the oral character of Greek geometry
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First proofs: Thales and the beginnings of geometry
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Societal role of geometry in early civilisations
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Why the Greeks?
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The mathematicians’ view of Galileo
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Historiography of Galileo’s relation to antiquity and middle ages
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More things Galileo didn’t do first
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Galileo was the first to … what exactly?
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Galileo and the Church
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Galileo’s theory of comets is hot air
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Phases of Venus
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Blemished sun
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The telescope
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Heliocentrism before the telescope
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Heliocentrism in antiquity
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Galileo’s theory of tides
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Why Galileo is like Nostradamus
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Galileo’s errors on projectile motion and inertia
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The case against Galileo on the law of fall
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Galilean science in antiquity?
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Mathematics versus philosophy, then and now
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Galileo bad, Archimedes good
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