Douglas Blue
Assistant Professor of Philosophy
University of Pittsburgh
doug.blue[at]pitt.edu
I’m interested in set theory and the history of analytic philosophy.
Papers
The failure of
square at all uncountable cardinals is weaker than a Woodin limit of
Woodin cardinals
with Paul Larson and Grigor Sargsyan. Preprint.
Can
philosophy do anything for set theory?
Journal of Philosophical Logic.
Nairian
models
with Paul Larson and Grigor Sargsyan. Preprint.
AD+ implies
ω₁ is a club Θ-Berkeley cardinal
with Grigor Sargsyan. Forum of Mathematics, Sigma.
What is it
to be a solution to Cantor’s Continuum Problem?
The Journal of Philosophy.
Infinite
inference and mathematical conventionalism
Philosophy and Phenomenological Research.
The
generic multiverse is not going away
The Review of Symbolic Logic.
Provably Δ₁
games
with Juan Aguilera. Journal of Symbolic Logic.
Models
of the axiom of determinacy and the foundations of set
theory
PhD thesis, Harvard University, 2023.
Other
CMU Core Model Theory
Seminar
Seminar on the consistency strength of total failure of square,
Spring 2026.
Contentualness
and Formalism
Spring 2026 seminar.
Nairian models and forcing
axioms
Luminy Set Theory Workshop, 2025.