List of ordinals: Difference between revisions
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In this list we assume there is a transitive model of ZFC.<!--Necessary to compare ordinals such as "least a such that L_a models ZFC"--> |
In this list we assume there is a transitive model of ZFC.<!--Necessary to compare ordinals such as "least a such that L_a models ZFC"--> |
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* [[0]], the smallest ordinal |
* [[0]], the smallest ordinal |
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* The least non-analytical ordinal. This is the least \( \alpha \) such that \( L_\alpha \prec L_{\omega_1} \).<ref name="SpectrumOfL" /><sup>(p.8)</sup> |
* The least non-analytical ordinal. This is the least \( \alpha \) such that \( L_\alpha \prec L_{\omega_1} \).<ref name="SpectrumOfL" /><sup>(p.8)</sup> |
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== Uncountable ordinals == |
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* [[omega_1|\( \Omega \)]], the smallest [[uncountable_ordinal|uncountable ordinal]] |
* [[omega_1|\( \Omega \)]], the smallest [[uncountable_ordinal|uncountable ordinal]] |
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* \( I \), the smallest [[inaccessible_ordinal|inaccessible ordinal]] |
* \( I \), the smallest [[inaccessible_ordinal|inaccessible ordinal]] |
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== References == |
== References == |
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__NOEDITSECTIONS__ |
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