Single Idea 12328

[catalogued under 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism]

Full Idea

A Platonist's interest focuses on axioms in which the decision of thought is played out, where an Aristotelian or Leibnizian interest focuses on definitions laying out the representation of possibilities (...and the essence of mathematics is logic).

Gist of Idea

Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic

Source

Alain Badiou (Briefings on Existence [1998], 7)

Book Reference

Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.103


A Reaction

See Idea 12323 for the significance of the Platonist approach. So logicism is an Aristotelian project? Frege is not a true platonist? I like the notion of 'the representation of possibilities', so will vote for the Aristotelians, against Badiou.

Related Idea

Idea 12323 Existence is Being itself, but only as our thought decides it [Badiou]