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Ideas for 'A Discourse on Method', 'What Does It Take to Refer?' and 'On Concept and Object'

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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

9949	There is the concept, the object falling under it, and the extension (a set, which is also an object) [Frege, by George/Velleman]
	Full Idea: For Frege, the extension of the concept F is an object, as revealed by the fact that we use a name to refer to it. ..We must distinguish the concept, the object that falls under it, and the extension of the concept, which is the set containing the object.
	From: report of Gottlob Frege (On Concept and Object [1892]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
	A reaction: This I take to be the key distinction needed if one is to grasp Frege's account of what a number is. When we say that Frege is a platonist about numbers, it is because he is committed to the notion that the extension is an object.