University Catalog 2014-2015

University of Colorado Boulder

MATH-5000 (3) Foundations of Mathematics

Focuses on a complete deductive framework for mathematics and applies it to various areas. Presents Goedel's famous incompleteness theorem about the inherent limitations of mathematical systems. Uses idealized computers to investigate the capabilities and limitations of human and machine computation. Prereqs., MATH 3130 and 3140. Same as MATH 4000. Prerequisites: Restricted to graduate students only.