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person1990s-present

Richard Heck

Disciplines:
logic
philosophy/philosophy of language
philosophy of mathematics

Summary

American philosopher who has made major contributions to neo-logicism (proving and analyzing Frege's Theorem) and to the philosophy of language.

Core Contribution

Proved and analyzed Frege's Theorem: Peano Arithmetic is derivable from Hume's Principle alone (in second-order logic), without Basic Law V. This result had been known informally but Heck made it precise — giving neo-logicism its formal core.

Key Spikes & Highlights

  • The result that Hume's Principle (the number of Fs = the number of Gs iff there is a bijection between them) suffices to derive arithmetic — without the contradictory Basic Law V — is the technical core on which the entire neo-logicist program rests.

Notable Works & Achievements

Frege's Theorem

Reading Frege's Grundgesetze

Language, Thought, and Logic

Historical Influences

Gottlob Frege Crispin Wright George Boolos

Intellectual Lineage

Analytic Philosophy of Mathematics

Contemporaries & Peers

Crispin Wright George Boolos

Minds Influenced

Neo-logicist Research

Intellectual Posterity

Frege's Theorem Neo-logicism

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Richard Heck

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