Single Idea 9991

[catalogued under 5. Theory of Logic / G. Quantification / 2. Domain of Quantification]

Full Idea

For Frege the variable ranges over all objects.

Gist of Idea

For Frege the variable ranges over all objects

Source

report of Gottlob Frege (Begriffsschrift [1879]) by William W. Tait - Frege versus Cantor and Dedekind XII

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.59


A Reaction

The point is that Frege had not yet seen the necessity to define the domain of quantification, and this leads him into various difficulties.