Cardinais Cíclicos: Uma Proposta Axiomática para Manter ω e Tornar ℵ₁, ℵ₂, … em Estruturas Cíclicas

Cardinais Cíclicos: Uma Proposta Axiomática para Manter ω e Tornar ℵ₁, ℵ₂, … em Estruturas Cíclicas | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 25 March 2026 V1 Latest version Share on Cardinais Cíclicos: Uma Proposta Axiomática para Manter ω e Tornar ℵ₁, ℵ₂, … em Estruturas Cíclicas Author : Rodolfo Carneiro Moroz 0009-0007-7014-552X [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177446739.91743201/v1 35 views 27 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Este trabalho propõe uma teoria alternativa de conjuntos que preserva os ordinais contáveis bemfundados (em particular ω) e reinterpreta cardinais não-contáveis (ℵ₁, ℵ₂, …) como classes cíclicas nao-bemfundadas. Foi adotado o Axioma da Anti-Fundacão (AFA) para permitir estruturas com ciclos e foram definidos cardinais cíclicos por meio de bisimulacão em grafos rotulados. As operações básicas (sucessor, soma e produto de ordinais) permanecem padrão abaixo de ℵ₀, enquanto níveis superiores admitem periodicidade estrutural. Foi esboçado consistência relativa com ZF−Fundacão + AFA, apontado relacionamentos com hipersets e semânticas coindutivas, e bem como exemplos formais. Palavras-chave: Cardinais cíclicos; Cardinais não contáveis; Axioma da anti-fundação; hipersets. Supplementary Material File (artigo_cardinais cíclicos.pdf) Download 112.84 KB Information & Authors Information Version history V1 Version 1 25 March 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords anti-foundation axiom cyclic cardinals hypersets uncountable cardinals Authors Affiliations Rodolfo Carneiro Moroz 0009-0007-7014-552X [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 35 views 27 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Rodolfo Carneiro Moroz. Cardinais Cíclicos: Uma Proposta Axiomática para Manter ω e Tornar ℵ₁, ℵ₂, … em Estruturas Cíclicas. Authorea . 25 March 2026. DOI: https://doi.org/10.22541/au.177446739.91743201/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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