Labyrinth of Thought A History of Set Theory and Its Role in Modern Mathematics /

Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader contex...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ferreirós, José (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:2nd ed. 2007.
Temas:
Mathematics.
History.
Mathematical physics.
History of Mathematical Sciences.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Emergence of Sets within Mathematics
  • Institutional and Intellectual Contexts in German Mathematics, 1800-1870
  • A New Fundamental Notion: Riemann's Manifolds
  • Dedekind and the Set-theoretical Approach to Algebra
  • The Real Number System
  • Origins of the Theory of Point-Sets
  • Entering the Labyrinth-Toward Abstract Set Theory
  • The Notion of Cardinality and the Continuum Hypothesis
  • Sets and Maps as a Foundation for Mathematics
  • The Transfinite Ordinals and Cantor's Mature Theory
  • In Search of an Axiom System
  • Diffusion, Crisis, and Bifurcation: 1890 to 1914
  • Logic and Type Theory in the Interwar Period
  • Consolidation of Axiomatic Set Theory.

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