Set Theory: the hyperuniverse, Ramsey theory

Mathematical logic entered the modern era through the work of Kurt Gödel, who established his famous Completeness and Incompleteness Theorems at the University of Vienna in the 1930`s. This project, to be carried out at the Kurt Gödel Research Center for Mathematical Logic of the University of Vienna, focuses on set theory, the area of logic that most interested Gödel in his later years. The proposed topics are: 1. Quasi lower bounds on consistency, 2. Gamma-logic, 3. Cardinality, cofinality and continuum spectra and 4. Ramsey theory.

Mathematical logic entered the modern era through the work of Kurt Gödel, who established his famous Completeness and Incompleteness Theorems at the University of Vienna in the 1930`s. This project, to be carried out at the Kurt Gödel Research Center for Mathematical Logic of the University of Vienna, focuses on set theory, the area of logic that most interested Gödel in his later years. The proposed topics are: 1. Quasi lower bounds on consistency, 2. Gamma-logic, 3. Cardinality, cofinality and continuum spectra and 4. Ramsey theory.