Euclid Upturned. Borelli on the Foundations of Geometry
Résumé
The article discusses Borelli's studies on the foundations of mathematics. Borelli's Euclides Restitutus (1658) is one of the most significant books on the foundations of geometry in the early modern age, and it fundamentally changed the way of approaching Euclid's text. The article examines Borelli's epistemology, his theory of definitions, the system of axioms employed in the Euclides, and the new deductive structure of the work. These analyses show that Borelli's Euclides can be considered one of the earliest modern texts on elementary mathematics.
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