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Current
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Gabriel Day works on model theory and the philosophy of mathematics. He is currently comparing notions of theoretical simplicity found in model theory.
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Past
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Matteo Bianchetti received his PhD. from the Philosophy
Department in 2021. I supervised his thesis, "Geometric
representations in mathematical problem-solving: intuition
and creativity."
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Paul Tran-Hoang received his PhD. from the Philosophy
Department in 2020. I co-supervised his thesis, "A model-theoretic
approach to logicism," with Tim Bays. (I also co-supervised, with
Anand Pillay, his MSIM thesis on Galois cohomology.)
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Ellen Lehet received her PhD. from the Philosophy Department in
2020. I supervised her thesis, "The explanatory value of
category-theory."
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Corey Dethier received his PhD. from the Philosophy Department
in 2020. I co-supervised his thesis, "Multiple models, robustness,
and the epistemology of climate science," with Anjan
Chakravartty.
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Chris Porter received a PhD. from the joint mathematics
and philosophy program in 2012. I co-supervised his thesis,
"Mathematical and philosophical perspectives on algorithmic
randomness," with Michael Detlefsen and Peter Cholak.
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Future
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I am available to supervise doctoral work on a wide
range of projects in the history and philosophy of logic. I
am also available to supervise particular sorts of projects
on the philosophy of mathematics, on general and structural
proof theory, and on themes related to naturalism and
pragmatism.
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