Logic Seminar
John Baldwin
UIC
Is there model theory without axiomatic set theory?
Abstract: At least since Skolem's formulation of his paradox set theory and
model theory have been intertwined. In contrast to Skolem, we
investigate the methodological role of set theory in model theory. We
will address several questions. What is the role of axiomatic set
theory in model theory? How does this depend on whether the object of
study is a logic or a theory? What is the role of combinatorial set
theory in model theory? In particular, what is the role of
indiscernibles in model theory? What is the role of cardinality in
model theory. How do properties of largish cardinals affect countable
countable models? In this talk we will outline some of these issues and discuss some competing
views.
Tuesday September 22, 2015 at 4:00 PM in SEO 427