Full Idea
My definition is as follows: the Number which belongs to the concept F is the extension of the concept 'equal to the concept F' [note: I believe that for 'extension of the concept' we could simply write 'concept'].
Gist of Idea
The Number for F is the extension of 'equal to F' (or maybe just F itself)
Source
Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §68)
Book Reference
Frege,Gottlob: 'The Foundations of Arithmetic (Austin)', ed/tr. Austin,J.L. [Blackwell 1980], p.79
A Reaction
The note has caused huge discussion [Maddy 1997:24]. No wonder I am confused about whether a Fregean number is a concept, or a property of a concept, or a collection of things, or an object. Or all four. Or none of the above.
Related Idea
Idea 18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]