Peter Koellner

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title: "Peter Koellner" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["philosophers-of-mathematics", "harvard-university-department-of-philosophy-faculty", "living-people", "year-of-birth-missing-(living-people)"] topic_path: "science/mathematics" source: "https://en.wikipedia.org/wiki/Peter_Koellner" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

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Peter Koellner is professor of philosophy at Harvard University. He received his Ph.D. from MIT in 2003. His main areas of research are mathematical logic, specifically set theory, and philosophy of mathematics, philosophy of physics, analytic philosophy, and philosophy of language.

In 2008 Koellner was awarded a Kurt Gödel Centenary Research Prize Fellowship. Currently, Koellner serves on the American Philosophical Association's Advisory Committee to the Eastern Division Program Committee in the area of Logic.

According to a review by Pierre Matet on Zentralblatt MATH, his joint paper with Hugh Woodin Incompatible Ω-Complete Theories contains an illuminating discussion of the issues involved, which makes it recommended reading for anyone interested in modern set theory.

Papers

On the Question of Absolute Undecidability, Philosophia Mathematica (III) 14 (2006)
On Reflection Principles, Annals of Pure and Applied Logic, Volume 157, Issues 2-3, February 2009, Pages 206-219, Kurt Gödel Centenary Research Prize Fellowships
Incompatible Ω-Complete Theories (with Hugh Woodin), Journal of Symbolic Logic, Volume 74, Issue 4 (2009), 1155-1170.http://projecteuclid.org/euclid.jsl/1254748685.
Koellner, P., Woodin, W.H. (2010). Large Cardinals from Determinacy. In: Foreman, M., Kanamori, A. (eds) Handbook of Set Theory. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5764-9_24
Koellner P., Strong Logics of First and Second Order. The Bulletin of Symbolic Logic. 2010;16(1):1-36. doi:10.2178/bsl/1264433796
Truth in Mathematics: The Question of Pluralism (to appear in New Waves in Philosophy of Mathematics)

Notes

References

[http://www.fas.harvard.edu/~phildept/koellner.html Philosophy at Harvard]
[http://www.apaonline.org/divisions/eastern/2010advisorycommittee.aspx APA]
(2009). "Incompatible Ω-Complete Theories". [[The Journal of Symbolic Logic]].
[http://logic.harvard.edu/koellner/ Koellner at Harvard]

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