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

• Κύριος συγγραφέας: Ferreirós, José (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2007.
• Έκδοση: Second revised edition.
• Θέματα: Mathematics.; History.; Mathematical physics.; History of Mathematical Sciences.; Mathematical Physics.

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...

Πίνακας περιεχομένων:

• 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.