Authors: Thomas Colignatus
Paul of Venice (1369-1429) provides a consistency condition that resolves Russell's Paradox in naive set theory without using a theory of types. It allows a set of all sets. It also blocks the (diagonal) general proof of Cantor's Theorem (in Russell's form, for the power set). The Zermelo-Fraenkel-Axiom-of-Choice (ZFC) axioms for set theory appear to be inconsistent. They are still too lax on the notion of a well-defined set. The transfinites of ZFC may be a mirage, and a consequence of still imperfect axiomatics in ZFC for the foundations of set theory. For amendment of ZFC two alternatives are mentioned: ZFC-PV (amendment of de Axiom of Separation) or BST (Basic Set Theory).
Comments: 2 Pages. The paper refers to the book FMNAI that supersedes the paper
[v1] 2014-12-25 05:46:46
[v2] 2014-12-31 02:45:55
[v3] 2015-04-30 10:33:05
[v4] 2015-05-01 04:33:25
[v5] 2015-05-20 11:16:57
[v6] 2015-06-05 02:16:20
[v7] 2015-06-12 16:10:45
[v8] 2015-06-17 11:59:17
[v9] 2015-06-27 03:07:27
[vA] 2015-07-28 04:51:49
Unique-IP document downloads: 386 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
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.