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conceptearly 20th century-present

Constructive Mathematics

Disciplines:
logic
philosophy of mathematics

Summary

The mathematical program requiring that proofs of existence be constructive — providing a method to exhibit or compute the object, rather than merely demonstrating that its non-existence leads to contradiction.

Core Contribution

Rejects the law of excluded middle and non-constructive existence proofs; intuitionistic logic is the appropriate logic for mathematics because mathematical objects are mental constructions, not independently existing abstract entities.

Historical Influences

L. E. J. Brouwer Arend Heyting

Intellectual Lineage

No conceptual lineage found.

Allied Works

Principia Mathematica Philosophical Investigations

Contemporaries & Peers

No recorded contemporaries.

Minds Influenced

No recorded minds influenced.

Intellectual Posterity

No conceptual posterity found.

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Constructive Mathematics

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