Russell e Frege sobre a Lógica das Funções

Bernard Linsky

doi:10.37084/REMATEC.1980-3141.2022.n41.p63-75.id436

Autores

Bernard Linsky University of Alberta

DOI:

10.37084/REMATEC.1980-3141.2022.n41.p63-75.id436

Palavras-chave:

Russell, Frege, Lógica, Funções, Filosofia Matemática

Resumo

Neste artigo eu comparo a teoria das funções Matemáticas de Russell, às “funções descritivas” do Principia Mathematica ∗30, com a conhecida explicação de Frege das funções como entidades “insaturadas”. Russell analisa termos funcionais com funções proposicionais e a teoria de descrições definidas. Este é o principal papel técnico da teoria das descrições em Filosofia Matemática. No The Principles of Mathematics e alguns escritos inéditos anteriores a 1905, Russell ofereceu críticas explícitas ao relato de funções de Frege. Consequentemente, a teoria das descrições em “On Denoting” pode ser vista como uma parte crucial da maior redução logicista da Matemática de Russell, bem como uma excursão à teoria da referência.

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Referências

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