### Boole’s Rings

- Unifying themes in Ramsey Theory – BIRS 2018 December 3, 2018 Mike Pawliuk – Mathematics
- The rearrangement and subseries numbers: how much convergence suffices for absolute convergence? Mathematics Colloquium, University of Münster, January 2019 November 26, 2018 Joel David Hamkins
- An infinitary-logic-free proof of the Barwise end-extension theorem, with new applications, University of Münster, January 2019 November 26, 2018 Joel David Hamkins
- A new proof of the Barwise extension theorem, without infinitary logic, CUNY Logic Workshop, December 2018 November 26, 2018 Joel David Hamkins
- Preserving Properness November 23, 2018 Asaf Karagila

### Comments on Boole’s Rings

- Comment on The hierarchy of logical expressivity by Stan Letovsky December 9, 2018 Comments for Joel David Hamkins
- Comment on The rearrangement number by The rearrangement and subseries numbers: how much convergence suffices for absolute convergence? Mathematics Colloquium, University of Münster, January 2019 | Joel David Hamkins November 26, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Joel David Hamkins November 9, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Artem Kaznatcheev November 8, 2018 Comments for Joel David Hamkins
- Comment on Alan Turing, On computable numbers by Joel David Hamkins October 13, 2018 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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