Author Archives: Carl Mummert

An incompleteness theorem for βn 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

Posted in Papers, Research | 2 Comments

AMS/ASL Special Session on Alan Turing

I arrived home yesterday from the 2012 Joint Mathematics Meetings in Boston, where I was a co-organizer of the AMS/ASL Special Session on the Life and Legacy of Alan Turing. The talks were wonderful, and the session went very smoothly, … 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

Posted in Musings, Research | Tagged , , | 6 Comments

Moving to WordPress

For a while I have been thinking about migrating to a content management system for my web page. Previously I had a script I wrote that was essentially a simply wiki to let me edit pages from any web browser … Continue reading

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