The Search for Mathematical Roots, 1870-1940 : Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel /

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While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A...

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Détails bibliographiques
Auteur principal: Grattan-Guinness, I.
Format: Électronique eBook
Langue:Inglés
Publié: Princeton, N.J. : Princeton University Press, 2000.
Collection:Book collections on Project MUSE.
Sujets:
Set theory.
Logic, Symbolic and mathematical.
Arithmetic > Foundations.
MATHEMATICS > History & Philosophy.
MATHEMATICS > Essays.
MATHEMATICS > Reference.
MATHEMATICS > Pre-Calculus.
Logique symbolique et mathematique > Histoire > 20e siecle.
Logique symbolique et mathematique > Histoire > 19e siecle.
Theorie des ensembles > Histoire > 20e siecle.
Theorie des ensembles > Histoire > 19e siecle.
Arithmetique > Fondements > Histoire > 20e siecle.
Arithmetique > Fondements > Histoire > 19e siecle.
Logic, Symbolic and mathematical > History > 20th century.
Logic, Symbolic and mathematical > History > 19th century.
Set theory > History > 20th century.
Set theory > History > 19th century.
Arithmetic > Foundations > History > 20th century.
Arithmetic > Foundations > History > 19th century.
History.
Electronic books.
Accès en ligne:Texto completo
Table des matières:
  • Explanations
  • Preludes : algebraic logic and mathematical analysis up to 1870
  • Cantor : mathematics as Mengenlehre
  • Parallel processes in set theory, logics and axiomatics, 1870s-1900s
  • Peano : the formulary of mathematics
  • Russell's way in : from certainty to paradoxes, 1895-1903
  • Russell and Whitehead seek the Principia Mathematica, 1903-1913
  • The influence and place of logicism, 1910-1930
  • Postludes : mathematical logic and logicism in the 1930s
  • The fate of the search
  • Transcription of manuscripts.

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