### Boole’s Rings

- Bi-interpretation in set theory, Bristol, February 2020 January 22, 2020 Joel David Hamkins
- Fake Reflection January 20, 2020 Assaf Rinot
- Bi-interpretation in weak set theories January 16, 2020 Joel David Hamkins
- A Microscopic approach to Souslin-tree constructions. Part II January 7, 2020 Assaf Rinot
- Philosophy meets maths, Oxford, January 2020 January 7, 2020 Joel David Hamkins

### Comments on Boole’s Rings

- Comment on Bi-interpretation in weak set theories by Bi-interpretation in set theory, Bristol, February 2020 | Joel David Hamkins January 22, 2020 Comments for Joel David Hamkins
- Comment on A new proof of the Barwise extension theorem, without infinitary logic by The $Sigma_1$-definable universal finite sequence | Joel David Hamkins January 14, 2020 Comments for Joel David Hamkins
- Comment on Lectures on the philosophy of mathematics, Oxford, Michaelmas term 2019 by Joel David Hamkins January 8, 2020 Comments for Joel David Hamkins
- Comment on Lectures on the philosophy of mathematics, Oxford, Michaelmas term 2019 by Klaus Loehnert January 8, 2020 Comments for Joel David Hamkins
- Comment on Climb into Cantor's attic by Joel David Hamkins January 4, 2020 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

Posted in Papers, Research
Leave a comment

## 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
2 Comments