### Boole’s Rings

- Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 August 13, 2018 Joel David Hamkins
- Set-theoretic blockchains August 7, 2018 Joel David Hamkins
- Topological models of arithmetic August 6, 2018 Joel David Hamkins
- Real and linear analysis August 1, 2018 Samuel Coskey
- Discrete and foundational mathematics August 1, 2018 Samuel Coskey

### Comments on Boole’s Rings

- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Joel David Hamkins August 15, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Andrej Bauer August 15, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Joel David Hamkins August 13, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by beekmancharlie August 13, 2018 Comments for Joel David Hamkins
- Comment on Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 by Erin Carmody August 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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