Set Theory and Logic


Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals

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) Let M_st be standard model of ZFC. Then ~Con(ZFC+∃M_st),(ii)~Con(ZFC_2),(iii) let k be an inaccessible cardinal,then ¬Con(ZFC+∃k).

Comments: 61 Pages.

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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
[vB] 2017-12-23 09:04:43

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