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Principia Mathematica

Disciplines:
logic
philosophy of mathematics

Summary

Three-volume collaborative work by Bertrand Russell and Alfred North Whitehead attempting to derive all of mathematics from purely logical axioms using type theory.

Core Contribution

The most ambitious attempt at logicism: derives arithmetic, set theory, and analysis from logical axioms using the theory of types to block Russell's Paradox. Established the notation and methods of modern mathematical logic.

Historical Influences

Bertrand Russell Alfred North Whitehead

Intellectual Lineage

No conceptual lineage found.

Allied Works

Die Grundlagen der Arithmetik Begriffsschrift The Limits of Abstraction

Contemporaries & Peers

No recorded contemporaries.

Minds Influenced

No recorded minds influenced.

Intellectual Posterity

No conceptual posterity found.

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Principia Mathematica

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