### Boole’s Rings

- Paul K. Gorbow, PhD 2018, University of Gothenburg June 16, 2018 Joel David Hamkins
- Definable Models Without Choice June 7, 2018 Asaf Karagila
- KNAW Academy Colloquium on Generalised Baire Spaces - Lebesgue’s Density Theorem for tree forcing ideals June 7, 2018 [“Sandra Müller”]
- (with R. Carroy and A. Medini) Every zero-dimensional homogeneous space is strongly homogeneous under determinacy May 31, 2018 [“Sandra Müller”]
- Booles' Rings is dead, long live Booles' Rings! May 31, 2018 Peter Krautzberger

### Comments on Boole’s Rings

- Comment on Kelley-Morse set theory implies Con(ZFC) and much more by Thomas Benjamin June 12, 2018 Comments for Joel David Hamkins
- Comment on Kelley-Morse set theory implies Con(ZFC) and much more by Thomas Benjamin June 8, 2018 Comments for Joel David Hamkins
- Comment on Kelley-Morse set theory implies Con(ZFC) and much more by Joel David Hamkins June 8, 2018 Comments for Joel David Hamkins
- Comment on Kelley-Morse set theory implies Con(ZFC) and much more by Thomas Benjamin June 8, 2018 Comments for Joel David Hamkins
- Comment on Kelley-Morse set theory implies Con(ZFC) and much more by Joel David Hamkins June 7, 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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