Article ID Journal Published Year Pages File Type
424425 Electronic Notes in Theoretical Computer Science 2007 30 Pages PDF
Abstract

Intuitionistic set theory without choice axioms does not prove that every Cauchy sequence of rationals has a modulus of convergence, or that the set of Cauchy sequences of rationals is Cauchy complete. Several other related non-provability results are also shown.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics