philosopher avecdominique paganiPaths ofPraxis
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Euclide

Ancient Greek mathematician (fl. 300 BC) · 333–285 BC

Appears in 47 videos · 59 passages, 24 of them in depth.

Play the 23 passages in a row

What Dominique Pagani says

Dominique Pagani presents Euclid as the one who opens up the "mathematical continent", under a name that may stand for a collective1. He sees in him the first system of pure theory, made of demonstrated propositions with no technical aim. With him, mathematics becomes the first discipline to break free from philosophy2. He stresses the resulting split between everyday language and the unambiguous language of scholars3. Above all, he keeps returning to one point in the Elements: the first notions are called "requests". Truth is thus addressed to someone who may refuse, and it rests on agreement between subjects. He sees this as the democratic form of reason4. He places this revolution before the Socratic question. Depending on the session, however, he presents Euclid either as Plato's inspiration or as coming after him5. He also recalls that Pascal rediscovered his theorems on his own and that Descartes took his propositions as a model. Finally, he notes that the parallel postulate has become a particular case of a more general geometry.

  1. 1#2 Rousseau, un monde qui commence20 Sept 2014 · 20:57
  2. 2Hegel Plage 3/52 Feb 2016 · 28:59
  3. 3Que faire ? 2/329 Jan 2016 · 48:16
  4. 4#5.2 L’Odyssée du philosophe : La pensée révolutionnaire21 Nov 2018 · 19:22
  5. 5D. Pagani / Réponse de M. Clouscard à C. Morilhat (1987)23 Aug 2019 · 5:23

Summary produced automatically from 59 of the passages below, to be reviewed; the numbers link to the moment in the session.

Portrait: EuclideWho is this?

Euclid (; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. […]

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Text: Wikipédia, CC BY-SA 4.0, excerpt · Portrait: Justus van Gent, Public domain

Series · 3 Jan 2015T for Triangle
  1. 3:00Starting from Euclid, a split opens in culture between everyday language and perfectly defined terms.
  2. 7:49Presented as the one whom Plato, said to have immediately succeeded him, drew inspiration from.

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