### Boole’s Rings

- Some thoughts about teaching introductory courses in set theory September 21, 2017 Asaf Karagila
- The set-theoretic universe is not necessarily a class-forcing extension of HOD September 19, 2017 Joel David Hamkins
- Equivalence relations and classification problems, parts 1 and 2 September 19, 2017 Samuel Coskey
- On the classification of automorphisms of trees September 11, 2017 Samuel Coskey
- The hierarchy of second-order set theories between GBC and KM and beyond September 9, 2017 Joel David Hamkins

### Comments on Boole’s Rings

- Comment on Some thoughts about teaching introductory courses in set theory by Harto Saarinen September 24, 2017 Comments for Asaf Karagila
- Comment on Some thoughts about teaching introductory courses in set theory by Dan Saattrup Nielsen September 23, 2017 Comments for Asaf Karagila
- Comment on Some thoughts about teaching introductory courses in set theory by Joseph Van Name September 22, 2017 Comments for Asaf Karagila
- Comment on Every countable model of set theory embeds into its own constructible universe by Incomparable $omega_1$-like models of set theory | Joel David Hamkins September 19, 2017 Comments for Joel David Hamkins
- Comment on Local properties in set theory by Neil Barton September 18, 2017 Comments for Joel David Hamkins

# Category Archives: Musings

## An example with Dedekind cuts

In this post, I will briefly describe an example in computability theory that is well known, but not easy to find in the literature. It gives one reason why Dedekind cuts are difficult to work with computationally. Theorem. There is … Continue reading

Posted in Musings, Results worth knowing
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## Internal combinatorics and uniform reducibility

This post is a set of notes from a talk I gave on December 5th for the discrete mathematics seminar at Marshall University. I want to argue that logical analysis can reveal the “internal combinatorics” of theorems, using some recent … Continue reading

Posted in Musings, Research, Talks
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## Quiz on public peer review

I have been required to complete a “responsible conduct of research” training module by the research office at my school. The reason I am commenting is that I was asked to answer the following question “true” or “false”. This is … Continue reading

Posted in Musings
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## The logic of Reverse Mathematics

This post is about a research idea I have been thinking about which is quite different from my usual research. It’s an example of a project with an “old fashioned” feel to it, as if it could have been studied … Continue reading