### Boole’s Rings

- Talk: Canonical inner models and their HODs November 28, 2017 Sandra Uhlenbrock
- Quote by Henri Poincaré November 24, 2017 dcernst.github.io
- No representation without taxation. November 22, 2017 Joseph Van Name
- The universal finite set November 22, 2017 Joel David Hamkins
- A POW problem that can incentivize the energy efficient CNOT computer. November 18, 2017 Joseph Van Name

### Comments on Boole’s Rings

- Comment on No representation without taxation. by Joseph Van Name December 3, 2017 Comments for Joseph Van Name
- Comment on A strong form of König’s lemma by saf November 29, 2017 Comments for Assaf Rinot
- Comment on A strong form of König’s lemma by Ari B. November 29, 2017 Comments for Assaf Rinot
- Comment on No representation without taxation. by Jesse C. McKeown November 28, 2017 Comments for Joseph Van Name
- Comment on A forcing axiom deciding the generalized Souslin Hypothesis by saf November 27, 2017 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.

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

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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