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Berkeley Cardinal > Reinhardt Cardinal > rank-into-rank > Wholeness Axiom > N-superhuge cardinals > n-huge > n-superhigh jump cardinals > Shelah for supercompactness > Vopěnka cardinals > extendible cardinals > n-extendible >almost huge > n-almost huge > n-superstrong > hypercompact cardinals > supercompact > strongly compact > subcompact > superstrong cardinals > hyper-Woodin cardinals > Shelah > weakly hyper-Woodin > Woodin > tall cardinals cardinals > strongly Ramsey > completely Ramsey > ineffably Ramsey > Ramsey > Cardinals > strong cardinals > λ-strong > O+ >Aleph-measurable cardinals > super Ramsey > Rowbottom > Jónsson > almost Ramsey > y-Erdős cardinals >y-iterable > a-Erdős cardinals > remarkable cardinals > totally ineffable cardinals > n-ineffable > ineffable > almost ineffable > subtle cardinals > ethereal cardinals > shrewd cardinals > A-shrewd > v-indescribable cardinals > unfoldable cardinals > X-unfoldable > totally indescribable cardinals > Пm n-indescribable > weakly compact > reflecting cardinals > hyper Mahlo cardinals > a-Mahlo > strongly Mahlo > weakly Mahlo > hyper inaccessible cardinals > a-inaccessible > strongly inaccessible > weakly inaccessible > Absolute-Infinity > Aleph- 0