### Boole’s Rings

- On conjugacy problems for graphs and trees October 11, 2019 Samuel Coskey
- (with Y. Hayut) Perfect Subtree Property for Weakly Compact Cardinals October 10, 2019 Sandra Müller
- Structural properties of the stable core October 10, 2019 Victoria Gitman
- Ground model definability in ${\rm ZF}$ October 10, 2019 Victoria Gitman
- (with S.-D. Friedman and V. Gitman) Structural Properties of the Stable Core October 4, 2019 Sandra Müller

### Comments on Boole’s Rings

- Comment on Solution to my transfinite epistemic logic puzzle, Cheryl’s Rational Gifts by Cheryl’s Rational Gifts: transfinite epistemic logic puzzle challenge! | Joel David Hamkins October 14, 2019 Comments for Joel David Hamkins
- Comment on The propagation of error in classical geometry constructions by Paul Alberti-Strait October 9, 2019 Comments for Joel David Hamkins
- Comment on The modal logic of arithmetic potentialism and the universal algorithm by The $Sigma_1$-definable universal finite sequence | Joel David Hamkins September 30, 2019 Comments for Joel David Hamkins
- Comment on I know that you know that I know that you know…. Oxford, October 2019 by Joel David Hamkins September 25, 2019 Comments for Joel David Hamkins
- Comment on I know that you know that I know that you know…. Oxford, October 2019 by charlie sitler September 25, 2019 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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