Set Theory and Logic

   

Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals Consistency Results in Topology.

Authors: Jaykov Foukzon

In this article we derived an importent example of the inconsistent countable set in second order ZFC (ZFC_2)with Henkin semantics and with the full second-order semantics. Main results are:(i) ~Con(ZFC_2),(ii) let k be an inaccessible cardinal,then ¬Con(ZFC+∃k).

Comments: 42 Pages.

Download: PDF

Submission history

[v1] 2013-02-08 12:33:56
[v2] 2013-02-16 11:11:07
[v3] 2013-02-20 04:58:47
[v4] 2015-02-20 23:04:38
[v5] 2015-04-14 15:45:13
[v6] 2015-04-15 12:21:21
[v7] 2015-06-02 18:13:52
[v8] 2017-03-04 12:38:28
[v9] 2017-03-31 09:18:11
[vA] 2017-04-29 04:23:27

Unique-IP document downloads: 278 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.

comments powered by Disqus