Logicism II: More on Numbers as Objects

`To be the number 3 is no more and no less than to be preceded by 2, 1, and possibly 0, and to be followed by 4, 5, and so forth.' Why would Frege object to this view?

Note: any discussion of structuralism should not be extensive.

Readings

Frege (1879);

(Frege, 1980, §§1-20);

(Dummett, 1991a, 108-9, 111-40);

Benacerraf (1965);

(Wright, 1983, §§i-viii)

Further readings

(Dummett, 1991a, 13-9, 63-71, 81-95, 167-79);

(Bell, 1979, ch. I, ch. II (§§1-4));

(Wright, 1983, §xv)