Authors: Andrew Banks
The debate between process infinity and Cantor’s eigentlich Unendliche “completed infinity” has occurred since before Greek times. Prior to Cantor, the prevailing view of infinity was that it is a process that continues on forever and there is only one type of infinity. Cantor, on the other hand, produced the current foundations of mathematics with his hierarchy of completed infinite objects. In particular, the completed infinite set ω contains all natural numbers and none are missing from the set. This paper will demonstrate, however, a specific method under ZFC of assembling all finite ordinals into the completed set ω such that ω ε ω is a necessary condition of that formation. Then, from ω ε ω, it will be shown ZFC is inconsistent.
Comments: 9 Pages.
[v1] 2012-03-28 18:07:22
Unique-IP document downloads: 142 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.