Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals).

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gillies, Donald
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hoboken : Taylor and Francis, 2013.
Colección:Routledge revivals.
Temas:
Frege, Gottlob, > 1848-1925.
Dedekind, Richard, > 1831-1916.
Dedekind, Richard, > 1831-1916
Frege, Gottlob, > 1848-1925
Arithmetic > Foundations.
Dedekind, Richard, 1831-1916.
Frege, Gottlob, 1848-1925.
Peano, Giuseppe, 1858-1932.
Arithmétique > Fondements.
Arithmetic > Foundations
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Frege, Dedekind and Peano on the Foundations of Arithmetic; Title Page; Copyright Page; Preface; Table of Contents; Introduction; 1. Kant's Theory of Mathematics; 2. Frege's Criticisms of Kant; 3. Mill's Theory of Mathematics; 4. Frege's Criticisms of Mill; 5. The content of a statement of number is an assertion about a concept; 6. Frege's Platonism; 7. Frege's Logicism; 8. Dedekind and Set Theory; 9. Dedekind's Development of Arithmetic; 10. Peano's Axioms. General Comparison of Frege, Dedekind, and Peano; 11. Frege's Begriffsschrift; 12. Frege's Grundgesetze, and Russell's paradox.
  • Appendix I. On NotationAppendix II. On the Principle of Mathematical, or Complete, Induction; References; Index.

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