Combining Philosophers

Ideas for Melvin Fitting, Alain Badiou and Bryan Magee

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2 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

12328	Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou]
	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).
	From: Alain Badiou (Briefings on Existence [1998], 7)
	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.

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

12331	Logic is definitional, but real mathematics is axiomatic [Badiou]
	Full Idea: Logic is definitional, whereas real mathematics is axiomatic.
	From: Alain Badiou (Briefings on Existence [1998], 10)