1994/04/21 by Moti Gitik, Gitik, Moti, Jiří Witzany +1
Arts and Humanities · Social Sciences · #Catholicism and Religious Studies #FOS: Mathematics #Logic (math.LO) #Religious Education and Schools #Religious, Philosophical, and Educational Studies
paper · pdf · doi:10.48550/arxiv.math/9404205
openalex publication_date 1994/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Axiom of Full Reflection at a measurable cardinal has been conjectured to be equiconsitent with the existence of a coherent sequence of measures with a repeat point. However we prove that the Axiom of Full Reflection at a measurable cardinal is surprisingly equiconsistent just with the existence of a measurable cardinal. We also generalize the result to larger cardinals as strong or supercompact. Hence we can conclude that the Axiom of Full Reflection at large cardinals weaker than measurable, e.g. as n-Mahlo, does push the consistency strength up, but does not push the consistency strength up at measurable or larger cardinals.