Combining Philosophers

Ideas for Anaxarchus, Mark Colyvan and Maurice Merleau-Ponty

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17928	Ordinal numbers represent order relations [Colyvan]
	Full Idea: Ordinal numbers represent order relations.
	From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 1.2.3 n17)

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17923	Intuitionists only accept a few safe infinities [Colyvan]
	Full Idea: For intuitionists, all but the smallest, most well-behaved infinities are rejected.
	From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 1.1.3)
	A reaction: The intuitionist idea is to only accept what can be clearly constructed or proved.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

17941	Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]
	Full Idea: The problem with infinitesimals is that in some places they behaved like real numbers close to zero but in other places they behaved like zero.
	From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 7.1.2)
	A reaction: Colyvan gives an example, of differentiating a polynomial.