# Ramsey Quantifiers and PA$(Q^2)$, part II

Models of PAWednesday, September 28, 20166:30 pmGC 4214-03

# Ramsey Quantifiers and PA$(Q^2)$, part II

### The CUNY Graduate Center

In this talk, I will discuss the relationship between “strong” models of PA($Q^2$) and $kappa$-like models. Namely, if $kappa$ is a regular uncountable cardinal, then every countable “weak” model has a $kappa$-like ($Q^2$)-elementary end extension that is a kappa like strong model, and if M is a strong model it is $kappa$ like for some $kappa$.

Posted by on September 26th, 2016