Here is the New Foundations Home Page (NF home page is extremely out of date and needs to be edited, note to self August 2014). Here is the universal set bibliography (an expansion of the bibliography of Forster's NF book). For information about my claim to have proved the consistency of New Foundations, see below.

Here find the slides for my recent talk at the College of Idaho. I'm very pleased with the construction of the reals given there, using neither ordered pairs nor equivalence classes!

Here is my new separate page on the artificial language Loglan.

**General Information and office hours:**My office is Mathematics 240A. My Fall 2015 schedule information will follow when I know more about it.-
**Math 287:**More information about this course I am teaching in Fall 2015 as it develops. -
**Philosophy 209:**More information about this course I am teaching in Fall 2015 as it develops. - Old courses: Follow this link.

- The one I am currently actively editing, being posted for the first time June 6, 2015, purports to contain a direct construction of a model of tangled type theory. As of 6/17/2015 10:18 AM MST, I think it is mostly debugged: Here. This is a quite recent draft with a new approach.
- Here is the version using fused type structures which support many interpretations of TSTU
_{n}in which there are not many urelements in place of tangled webs of cardinals. I found a slip recently in both this version and the version immediately below which I corrected but which requires me to check over the details of certain proofs...in this version and the one just below only. - Here is a relatively new version I am working on using tangled webs as in the version below and simplified coding as in the FTS version above.
- Here is an older official document (using tangled webs), which uses quite complex coding. This document has been read by Nathan Bowler's group in Hamburg, and they profess to understand most of it. During my visit of 6/23/2015, I detected an error in the proof of the elementarity property in this version (dimwittedness on my part, it was an issue I am aware of) and have posted a correction.
**This may not be the best approach ultimately, but it remains the best current document.** - The final document of an even earlier sequence of documents describing our argument is here. No guarantees about this one.

Here is the talk I gave on New Foundations to the department at Boise State on September 10, 2013. Philosophical interests in NF might be served by these slides, and also by the notes on Frege's logic which appear below.

Here are the notes for the talk I gave at the University of Hamburg on June 24, 2015. I'm planning to extend these notes (which currently only go to the definition of tangled type theory) into notes for a talk covering some complete version of the NF consistency proof. Watch this space.

This is my most recent explicitly philosophical essay about Quine-style set theory.

Here find an outline of how to fix the foundational system of Frege using stratification in the style of Quine.

Here find my current notes on Dana Scott's lovely and weird result that ZFC minus extensionality has the same strength as Zermelo set theory.

Here is the May 19th 2011 (submitted) version of the paper I am writing about Zuhair al-Johar's proposal of "acyclic comprehension", with Zuhair and Nathan Bowler as co-authors, a perhaps surprising reformulation of stratified comprehension.

Here is the Jan 20 2012 draft of the paper I am writing about a simpler form of symmetric comprehension, strong versions of which give extensions of NF with semantic motivation and a weaker version of which gives a new consistent fragment of NF inessentially stronger than NF3, for which I give a model construction. The problem of modelling the versions that yield NF seems to be very hard (as usual). This version is ready for submission.

Here find the note submitted Dec 30 2013 on my result that the set H(|X|) of all sets hereditarily smaller in size than a set X exists, not using Choice. It is surprising to me that this is not an obvious result, but the references for partial results that I have been able to find are recent, so perhaps it is new.

Here is a recent version of my manual of logical style, a teaching tool (or would-be teaching tool) with which I am constantly tinkering to try to give students some idea how to approach the precipice of writing a proof.

Here is a draft paper on mathematics in three types (mostly, on defining functions in three types) based on a presentation at BEST 2009. Here are the notes for the talk I gave on this subject in Edmonton on Sept 11 2012.Here is a version of my paper on the curious fact that the urelements in the usual models of NFU turn out to be inhomogeous, because the membership relation on the underlying model-with-automorphism of the usual set theory turns out to be definable in NFU terms. This version corrects a couple of annoying typos in the published version.

I will put a link to my SEP article on Alternative Axiomatic Set Theories here.

Here are my notes on efficient bracket abstraction. Here is a brief related note on eliminating bound variables from syntax.

Here are the notes for the visit of Peter Seymour.

Materials relating to the visit of Olivier Esser are here.

Here's a link to the Department of Mathematics and Computer Science Home Page here at Boise State!

Here is a letter of mine discussing the set theory of Ackermann. Here are some not very serious notes on a pocket set theory. Here is a later version (DVI file).

Here is the official web site of the Loglan Institute.. Here is the mirror of the Loglan web site here at Boise State. There is access to a wide variety of information, documents and software through these links.

Here is my new separate page on Loglan, where you can find pointers to my current Loglan projects.