### Boole’s Rings

- Brace(s) yourself April 19, 2018 Peter Krautzberger
- Infinite Sudoku and the Sudoku game April 17, 2018 Joel David Hamkins
- Conjugacy for homogeneous ordered graphs April 12, 2018 Samuel Coskey
- Kameryn J. Williams, PhD 2018, CUNY Graduate Center April 8, 2018 Joel David Hamkins
- Open Problems! April 8, 2018 Asaf Karagila

### Comments on Boole’s Rings

- Comment on Math for nine-year-olds: fold, punch and cut for symmetry! by Joel David Hamkins April 19, 2018 Comments for Joel David Hamkins
- Comment on Math for nine-year-olds: fold, punch and cut for symmetry! by Jen April 19, 2018 Comments for Joel David Hamkins
- Comment on Infinite Sudoku and the Sudoku game by Joel David Hamkins April 17, 2018 Comments for Joel David Hamkins
- Comment on Infinite Sudoku and the Sudoku game by Joel David Hamkins April 17, 2018 Comments for Joel David Hamkins
- Comment on Infinite Sudoku and the Sudoku game by Infinite Sudoku and the Sudoku game – Nevin Manimala’s Blog April 17, 2018 Comments for Joel David Hamkins

# 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.

Posted in Research, Talks
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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

Posted in Research, Talks
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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

Posted in Papers, Research
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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