English

On Cantor's Theorem

General Mathematics 2007-05-23 v2

Abstract

The famous contradiction of a bijection between a set and its power set is a consequence of the impredicative definition involved. This is shown by the fact that a simple mapping between equivalent sets does also fail to satisfy the critical requirement.

Cite

@article{arxiv.math/0505648,
  title  = {On Cantor's Theorem},
  author = {W. Mueckenheim},
  journal= {arXiv preprint arXiv:math/0505648},
  year   = {2007}
}

Comments

Misprints corrected