Categoricity of Atomic Classes in Small Cardinals in ZFC

Explore a conference talk on categoricity of atomic classes in small cardinals within ZFC, delivered by Saharon Shelah at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into topics such as quantifiers, Leo Harrington's work, natural order, cardinality continuum, equivalence classes, and finite model theory. Gain insights into the history and unity of mathematics as presented in this 65-minute lecture, which is part of the thematic meeting on discrete mathematics and logic. Access this video and other talks by renowned mathematicians through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content, and multi-criteria search functionality.

Introduction
History
Quantifiers
Leo Harrington
Out of position
Natural order
Cardinality Continuum
equivalence classes
finite model theory
unity of mathematics