PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Stephanie Zerby, Flossie Dunlop.

Title:The Continuum Hypothesis
Seminar:PMASS Colloquium
Speaker:Jan Reimann, The Pennsylvania State University
Abstract:
In the late 19th century the German mathematician Georg Cantor tried to show that every uncountable subset of the real numbers can be mapped bijectively onto the real line. He was unable to prove this, and the question became the Continuum Hypothesis (CH). It was the first question on Hilbert's famous problem list of 1900. Seminal works by Gödel and Cohen showed that CH can neither be proved nor disproved from Zermelo-Fraenkel set theory (ZF), a basic axiom system for sets that captures most of modern mathematics. In other words, CH is independent of ZF. In this talk I will sketch the history of the Continuum Hypothesis, how it influenced the development of logic and set theory in the 20th century, and I will outline how one can show that a statement is independent of ZF.

Room Reservation Information

Room Number:MB113
Date:02 / 23 / 2012
Time:02:30pm - 03:30pm