This is a rough outline syllabus for the class I am teaching this semester at the University of Notre Dame on the philosophy and logic of games. University of Notre Dame        …

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Galileo recognized that some infinite collections can be placed into one-to-one correspondence with a proper subcollection. How are we thus to make comparisons of size with the infinite?

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This will be a talk for the Mathematics Graduate Student Seminar on 23rd October 2026, 5pm at the CUNY Graduate Center in midtown Manhattan. On the fundamental theorem of finite games Abstract: We …

Can you take the last fish from the buckets? Or the last coin in the game of Whim?

Gödel proposed the concept of ordinal definability well before the reflection theorem of Lévy and Montague existed. How did he do it?

This will be a talk for the new Mathematical Philosophy Seminar here at the University of Notre Dame. Monday, September 21, 2026, 4pm, in Malloy Hall. Title: How the continuum hypothesis could have…

Gödel proposed the concept of ordinal definability well before the reflection theorem of Lévy and Montague existed. How did he do it?

Gödel proposed the concept of ordinal definability well before the reflection theorem of Lévy and Montague existed. How did he do it?

Author: Jason Wyckoff Category: Social and Political Philosophy Word Count: 1000 What is the relationship between being rational and producing good results? One might think that rational people, actin...

This will be a talk for the Logic Seminar at the University of Notre Dame on 15 September 2026, 2pm in the Hayes-Healy building room 125. The contingent HOD dichotomy Joel David Hamkins Abstract: W…

I am very pleased to announce that I have been awarded the Alternative Fields Medal in recognition of “Excellence in exposition of mathematics to a popular audience.” The award cites my…

This will be a talk for the Logic Seminar at the University of Notre Dame on 15 September 2026, 2pm in the Hayes-Healy building room 125. The contingent HOD dichotomy Joel David Hamkins Abstract: W…

Independent audits of published clinical research for statistical errors, data inconsistencies, and research integrity violations.

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We consider various game-theoretic aspects of several variations of the school-child game of tic-tac-toe, including 4 × 4 tic-tac-toe, recursive tic-tac-toe, and 3D tic-tac-toe.

Two radically different conceptions of the infinite—potentialism versus actualism. Disputed for millennia, then a sea change in views. Contemporary analysis adopts a modal perspective on potentialism.

Without different anatomical proportions, a scaled-up body would collapse under its own weight.

The question is naturally taken in a variety of ways—About the ordinals? Specifically ω? But are we dividing into pairs or cutting in half? Standard or natural arithmetic? Omnific integers? Cardinals?

Why is the notion of ordinal definability definable in set theory, when the underlying notion of definability, we know, is not definable? How do we bring this concept from metatheory to object theory?

Why is the notion of ordinal definability definable in set theory, when the underlying notion of definability, we know, is not definable? How do we bring this concept from metatheory to object theory?

Amazon.com: The Book of Infinity: 9780262054010: Hamkins, Joel David: Books