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person1848-1925

Gottlob Frege

Disciplines:
logic
philosophy/philosophy of language
philosophy of mathematics

Summary

German mathematician and philosopher who invented modern predicate logic and introduced the sense/reference distinction, founding analytic philosophy of language.

Core Contribution

Invented the Begriffsschrift — the first formal system of predicate logic — and distinguished Sinn (sense, mode of presentation) from Bedeutung (reference), resolving puzzles about identity and meaning that shaped all subsequent analytic philosophy.

Key Spikes & Highlights

  • Insisted that number is a logical object — numbers are extensions of concepts — which led to the infamous Russell's Paradox undercutting his life's work.
  • Distinguished sharply between the psychological act of thinking and the logical content of thought, making objective sense irreducible to mental states.
  • Spent his last years in despair after Russell's Paradox, considering abandoning logicism entirely and exploring geometric foundations of arithmetic instead.

Notable Works & Achievements

Begriffsschrift

Die Grundlagen der Arithmetik

Grundgesetze der Arithmetik

Über Sinn und Bedeutung

Historical Influences

Immanuel Kant Gottfried Leibniz George Boole

Intellectual Lineage

German Idealism Leibnizian Logic Kantian Philosophy

Contemporaries & Peers

Bertrand Russell Edmund Husserl George Boole

Minds Influenced

Bertrand Russell Ludwig Wittgenstein Edmund Husserl Rudolf Carnap Michael Dummett

Intellectual Posterity

Predicate LogicSense-Reference DistinctionSemantic CompositionalityAnalytic Philosophy

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