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Single Idea 18254

[from 'The Principles of Mathematics' by Bertrand Russell, in 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number ]

Full Idea

Russell defined the rationals as ratios of integers, and was therefore forced to treat the real number 5/8 as an object distinct from the rational 5/8.

Gist of Idea

Russell's approach had to treat real 5/8 as different from rational 5/8

Source

report of Bertrand Russell (The Principles of Mathematics [1903]) by Michael Dummett - Frege philosophy of mathematics 21 'Frege's'

Book Reference

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.271