### Boole’s Rings

- On checking a proof July 24, 2017 Dave Sixsmith
- Second-order transfinite recursion is equivalent to Kelley-Morse set theory over GBC July 23, 2017 Joel David Hamkins
- Nebula-The cryptocurrency that will produce the reversible computer July 22, 2017 Joseph Van Name
- The transitive multiverse July 22, 2017 Asaf Karagila
- The fundamental problem of math on the web July 21, 2017 Peter Krautzberger

### Comments on Boole’s Rings

- Comment on Infinite Combinatorial Topology by Rodrigo HernÃ¡ndez-GutiÃ©rrez July 25, 2017 Comments for Assaf Rinot
- Comment on Open determinacy for class games by Second-order transfinite recursion is equivalent to Kelley-Morse set theory over GBC | Joel David Hamkins July 23, 2017 Comments for Joel David Hamkins
- Comment on Transfinite recursion as a fundamental principle in set theory by Second-order transfinite recursion is equivalent to Kelley-Morse set theory over GBC | Joel David Hamkins July 23, 2017 Comments for Joel David Hamkins
- Comment on Games with the computable-play paradox by Warren D Smith July 21, 2017 Comments for Joel David Hamkins
- Comment on Ordinal definable subsets of singular cardinals by saf July 18, 2017 Comments for Assaf Rinot

# 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

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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