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

Foukzon, Jaykov (2015) Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals. British Journal of Mathematics & Computer Science, 9 (5). pp. 380-393. ISSN 22310851

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Official URL: https://doi.org/10.9734/BJMCS/2015/16849

Abstract

In this article we derived an important example of the inconsistent countable set in second order ZFC (ZFC2) with the full second-order semantics. Main results: (i) ¬Con(ZFC2), (ii) let k be an inaccessible cardinal and Hk is a set of all sets having hereditary size less then k, then ¬Con(ZFC + (V = Hk)).

Item Type:	Article
Subjects:	Eprints AP open Archive > Mathematical Science
Depositing User:	Unnamed user with email admin@eprints.apopenarchive.com
Date Deposited:	11 Jul 2023 05:24
Last Modified:	24 Jan 2024 04:24
URI:	http://asian.go4sending.com/id/eprint/647

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