Mathematics

What Dominique Pagani says

Dominique Pagani situates mathematics in relation to the concept. In his view, mathematics and music are two opposite renunciations of the concept: mathematics gives up words with multiple meanings in favour of mathemes1. He distinguishes it from philosophy, which proceeds by concepts, whereas mathematics proceeds by construction. To construct a concept is to represent it a priori in pure intuition2. He specifies that, in the strict sense, mathematics is not a language. He also sees in this easy means of reaching the truth good news against scepticism3. He links to Euclid the moment when mathematics becomes systematic, starting from axioms, definitions and postulates, against the self-evident beliefs of opinion4. Finally, he stresses that its objects exist by decision: the circle exists by decree, the sciences are sciences only through mathematics, and the external world bends to the mathematician's abstract decision5.

1. 1M comme Musique27 Dec 2014 · 11:13
2. 2De Copernic à Lénine: Révolution !28 Aug 2026 · 52:02
3. 3#14 Cavernes d'Hier et d'Aujourd'hui - De Platon à la modernité10 Jun 2022 · 1:10:35
4. 4De Copernic à Lénine: Révolution !28 Aug 2026 · 39:39
5. 5Musicosophie 15. Platon, Rouseau, Hegel et la musique9 Feb 2021 · 19:29

Summary produced automatically from 5 of the passages below, to be reviewed; the numbers link to the moment in the session.