Louise Hay Logic Seminar
Will Adkisson
UIC
$\aleph_1$ is not a large cardinal
Abstract: Since $\aleph_1$ is the second infinite cardinal, it should be obvious and non-controversial that it is not in any way a large cardinal. Nonetheless, in this talk we will justify this clearly self-evident fact. We will list a number of combinatorial properties of large cardinals, including some which can consistently hold at small cardinals, and demonstrate that $\aleph_1$ does not satisfy them.
Thursday November 16, 2023 at 4:00 PM in 427 SEO