### Boole’s Rings

- Some thoughts about “automated theorem searching” June 26, 2016 Asaf Karagila
- choiceless grapher is now Linux installable June 22, 2016 Ioanna M. Dimitriou Henríquez
- Iterating Symmetric Extensions June 22, 2016 Asaf Karagila
- Syntactic T-Rex: Irregularized June 20, 2016 Asaf Karagila
- My very first lemma, which also happened to involve a philosophical dispute June 19, 2016 Joel David Hamkins

### Comments on Boole’s Rings

- Comment on Some thoughts about “automated theorem searching” by Peter June 27, 2016 Comments for Asaf Karagila
- Comment on Some thoughts about “automated theorem searching” by Asaf Karagila June 26, 2016 Comments for Asaf Karagila
- Comment on Math for eight-year-olds: graph theory for kids! by toysfab June 24, 2016 Comments for Joel David Hamkins
- Comment on Math for eight-year-olds: graph theory for kids! by La théorie des graphes pour enfants ! | Toysfab June 24, 2016 Comments for Joel David Hamkins
- Comment on My very first lemma, which also happened to involve a philosophical dispute by Pedro Sánchez Terraf June 23, 2016 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.

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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