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PHILOSOPHY Philosophy of Mathematics Bertrand Russell's Logicism and Numbers

Bertrand Russell's Logicism and Numbers

Bertrand Russell's logicist approach redefined numbers as logical constructs within set theory

4 Nov 2025

How did Bertrand Russell's logicism redefine the concept of numbers in mathematics?

By treating numbers as purely empirical objects derived from physical counting By defining numbers as sets characterized by their cardinality within a logical framework By considering numbers as mystical entities beyond logical or set-theoretic explanation