### Boole’s Rings

- Bi-interpretation in set theory, Bristol, February 2020 January 22, 2020 Joel David Hamkins
- Fake Reflection January 20, 2020 Assaf Rinot
- Bi-interpretation in weak set theories January 16, 2020 Joel David Hamkins
- A Microscopic approach to Souslin-tree constructions. Part II January 7, 2020 Assaf Rinot
- Philosophy meets maths, Oxford, January 2020 January 7, 2020 Joel David Hamkins

### Comments on Boole’s Rings

- Comment on Bi-interpretation in weak set theories by Bi-interpretation in set theory, Bristol, February 2020 | Joel David Hamkins January 22, 2020 Comments for Joel David Hamkins
- Comment on A new proof of the Barwise extension theorem, without infinitary logic by The $Sigma_1$-definable universal finite sequence | Joel David Hamkins January 14, 2020 Comments for Joel David Hamkins
- Comment on Lectures on the philosophy of mathematics, Oxford, Michaelmas term 2019 by Joel David Hamkins January 8, 2020 Comments for Joel David Hamkins
- Comment on Lectures on the philosophy of mathematics, Oxford, Michaelmas term 2019 by Klaus Loehnert January 8, 2020 Comments for Joel David Hamkins
- Comment on Climb into Cantor's attic by Joel David Hamkins January 4, 2020 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