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Ideas for 'Euthydemus', 'Metaphysics' and 'The Value Problem'

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2 ideas

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

13738	It is a simple truth that the objects of mathematics have being, of some sort [Aristotle]
	Full Idea: Since there are not only separable things but also inseparable things (such as, for instance, things which are moving), it is also true to say simpliciter that the objects of mathematic have being and that they are of such a sort as is claimed.
	From: Aristotle (Metaphysics [c.324 BCE], 1077b31)
	A reaction: This is almost Aristotle's only discussion of whether mathematical entities exist. They seem to have an 'inseparable' existence (the way properties do), but he evidently regards a denial of their existence (Field-style) as daft.

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

12339	Aristotle removes ontology from mathematics, and replaces the true with the beautiful [Aristotle, by Badiou]
	Full Idea: For Aristotle, the de-ontologization of mathematics draws the beautiful into the place of the true.
	From: report of Aristotle (Metaphysics [c.324 BCE]) by Alain Badiou - Briefings on Existence 14