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Single Idea 13414

[from 'Introduction to Mathematical Philosophy' by Bertrand Russell, in 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism ]

Full Idea

Russell's own stand was that numbers are really only sets of equivalent sets.

Gist of Idea

For Russell, numbers are sets of equivalent sets

Source

report of Bertrand Russell (Introduction to Mathematical Philosophy [1919]) by Paul Benacerraf - Logicism, Some Considerations (PhD) p.168


A Reaction

Benacerraf is launching a nice attack on this view, based on our inability to grasp huge numbers on this basis, or to see their natural order.