### Boole’s Rings

- Partitioning a reflecting stationary set February 15, 2019 Assaf Rinot
- 4th Arctic Set Theory Workshop, January 2019 February 15, 2019 Assaf Rinot
- The Core Model Induction and Other Inner Model Theoretic Tools Rutgers - Tutorial: HOD Computations February 8, 2019 Sandra Müller
- Potentialism and implicit actualism in the foundations of mathematics, Jowett Society lecture, Oxford, February 2019 January 26, 2019 Joel David Hamkins
- Towards a general method for accessible content trees or: deep aria-labels for equations revisited January 13, 2019 Peter Krautzberger

### Comments on Boole’s Rings

- Comment on Math for nine-year-olds: fold, punch and cut for symmetry! by Joel David Hamkins February 8, 2019 Comments for Joel David Hamkins
- Comment on Inner-model reflection principles by Inner-model reflection principles | A kind of library February 2, 2019 Comments for Joel David Hamkins
- Comment on Math for nine-year-olds: fold, punch and cut for symmetry! by Joseph O'Rourke January 30, 2019 Comments for Joel David Hamkins
- Comment on Math for nine-year-olds: fold, punch and cut for symmetry! by 10 fun geometry ideas to share with kids – inspired by a Jordan Ellenberg tweet – Mike's Math Page January 25, 2019 Comments for Joel David Hamkins
- Comment on A remark on Schimmerling’s question by Ari Brodsky January 24, 2019 Comments for Assaf Rinot

# Category Archives: Research

## Reverse Mathematics of Matroids

This post is about the paper Reverse Mathematics of Matroids by Jeff Hirst and me. We look at basis theorems for countable vector spaces, countable graphs, and countable enumerated matroids. These three kinds of structures turn out to be extremely … Continue reading

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## Talk on the existence of connected components of graphs

This week I am attending a seminar at Dagstuhl on Measuring the Complexity of Computational Content: Weihrauch Reducibility and Reverse Analysis. This post has slides from my talk and some blog-only remarks to expand on them.

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## Talk on Reverse Mathematics and the Modal Logic of Reverse Mathematics

This is a transcription of notes from a talk I gave on November 1, 2013 to the interdisciplinary logic seminar at the University of Connecticut. I gave a general introduction to Reverse Mathematics and then spoke about my work with … Continue reading

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## Internal combinatorics and uniform reducibility

This post is a set of notes from a talk I gave on December 5th for the discrete mathematics seminar at Marshall University. I want to argue that logical analysis can reveal the “internal combinatorics” of theorems, using some recent … Continue reading

Posted in Musings, Research, Talks
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## An incompleteness theorem for β_{n} models

My first paper was “An incompleteness theorem for $\beta_n$ models” with Stephen Simpson [1]. It’s a short paper, but the idea is very pretty. We know that the incompleteness theorem implies there are strange models of arithmetic, but these models … Continue reading

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## The logic of Reverse Mathematics

This post is about a research idea I have been thinking about which is quite different from my usual research. It’s an example of a project with an “old fashioned” feel to it, as if it could have been studied … Continue reading