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Single Idea 9835

[from 'Grundlagen der Arithmetik (Foundations)' by Gottlob Frege, in 4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set ]

Full Idea

Since he thought of classes as extensions of concepts, ...it is because a concept can be empty that there is such a thing as the empty class.

Gist of Idea

It is because a concept can be empty that there is such a thing as the empty class

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Michael Dummett - Frege philosophy of mathematics Ch.8

Book Reference

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.92


A Reaction

Frege was already up against the awaiting Russell Paradox, but this view also seems to imply that there are many empty classes, since the absences of sandwiches would be different from the absence of heroism.