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Regressive partitions and Borel diagonalization. (English) Zbl 0704.03031

Results of H. Friedman on the equivalence of some propositions on Borel diagonalization with the existence of some models with higher Mahlo cardinals are extended and refined by using regressive partition relations, and properties of Erdős cardinals.

MSC:

03E15 Descriptive set theory
03E55 Large cardinals
Full Text: DOI

References:

[1] DOI: 10.1016/0001-8708(86)90004-6 · Zbl 0613.03028 · doi:10.1016/0001-8708(86)90004-6
[2] DOI: 10.1016/0001-8708(81)90021-9 · Zbl 0483.03030 · doi:10.1016/0001-8708(81)90021-9
[3] Logic, foundations of mathematics and computability theory pp 87– (1977)
[4] Harvey Friedman ’s research on the foundations of mathematics pp 11– (1985)
[5] DOI: 10.1090/S0002-9947-1987-0869404-5 · doi:10.1090/S0002-9947-1987-0869404-5
[6] DOI: 10.1016/0003-4843(71)90010-6 · Zbl 0215.32404 · doi:10.1016/0003-4843(71)90010-6
[7] DOI: 10.1090/S0002-9947-1974-0337617-8 · doi:10.1090/S0002-9947-1974-0337617-8
[8] DOI: 10.1016/0168-0072(87)90074-1 · Zbl 0627.03041 · doi:10.1016/0168-0072(87)90074-1
[9] Fundamenta Mathematicae 69 pp 93– (1970)
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