TY - JOUR
T1 - How large is the first strongly compact cardinal? or a study on identity crises
AU - Magidor, Menachem
PY - 1976/8
Y1 - 1976/8
N2 - It is proved that if strongly compact cardinals are consistent, then it is consistent that the first such cardinal is the first measurable. On the other hand, if it is consistent to assume the existence of supercompact cardinal, then it is consistent to assume that it is the first strongly compact cardinal.
AB - It is proved that if strongly compact cardinals are consistent, then it is consistent that the first such cardinal is the first measurable. On the other hand, if it is consistent to assume the existence of supercompact cardinal, then it is consistent to assume that it is the first strongly compact cardinal.
UR - http://www.scopus.com/inward/record.url?scp=0002273754&partnerID=8YFLogxK
U2 - 10.1016/0003-4843(76)90024-3
DO - 10.1016/0003-4843(76)90024-3
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AN - SCOPUS:0002273754
SN - 0003-4843
VL - 10
SP - 33
EP - 57
JO - Annals of Mathematical Logic
JF - Annals of Mathematical Logic
IS - 1
ER -