### Boole’s Rings

- Some thoughts about teaching introductory courses in set theory September 21, 2017 Asaf Karagila
- The set-theoretic universe is not necessarily a class-forcing extension of HOD September 19, 2017 Joel David Hamkins
- Equivalence relations and classification problems, parts 1 and 2 September 19, 2017 Samuel Coskey
- On the classification of automorphisms of trees September 11, 2017 Samuel Coskey
- The hierarchy of second-order set theories between GBC and KM and beyond September 9, 2017 Joel David Hamkins

### Comments on Boole’s Rings

- Comment on Some thoughts about teaching introductory courses in set theory by Harto Saarinen September 24, 2017 Comments for Asaf Karagila
- Comment on Some thoughts about teaching introductory courses in set theory by Dan Saattrup Nielsen September 23, 2017 Comments for Asaf Karagila
- Comment on Some thoughts about teaching introductory courses in set theory by Joseph Van Name September 22, 2017 Comments for Asaf Karagila
- Comment on Every countable model of set theory embeds into its own constructible universe by Incomparable $omega_1$-like models of set theory | Joel David Hamkins September 19, 2017 Comments for Joel David Hamkins
- Comment on Local properties in set theory by Neil Barton September 18, 2017 Comments for Joel David Hamkins

# Category Archives: Papers

## 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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## 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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