Large cardinal
CARDINAL NUMBER IN SET THEORY NOT PROVABLE FROM ZFC
Large cardinals; Large cardinal theory; Large cardinal axiom; Large cardinal hypothesis; Large cardinal hypotheses; Large-cardinal axiom; Large-cardinal property; Large-cardinal hypothesis; Large cardinal property; Large cardinal number
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least α such that α=ωα).