Paul Gorbow

Researcher
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Academic interests

Philosophical and mathematical logic, set theory, axiomatic theories of truth, axiomatic theories of consciousness, potential infinity, non-standardness phenomena in the foundations of mathematics.

Current research

My research project "Potential infinity in the foundations of mathematics" aims to provide a positive philosophical explanation for non-standardness phenomena in the foundations of mathematics, by applying ideas from potential infinity and indexicalism.

Background

My doctoral dissertation at the University of Gothenburg provides a category theoretical theory for the set theory NF and results on embeddings and automorphisms of non-standard models of ZF. As a postdoc at the University of Gothenburg, I developed (with Graham Leigh) an untyped theory of truth in set theory that extends ZF, as well as untyped theories of belief and knowledge that extend PA.

Published Dec. 21, 2021 2:13 PM - Last modified Feb. 11, 2022 10:30 AM