Oct 8, 2026 16:18 Not necessarily. You’ll notice that I’m about the only one blogging here regularly now. Of the original three hosts, Urs ...

May 18, 2009 Help John Baez write a paper on the prehistory of n-categorical physics — the prehistory of a history that hasn’t quite started yet.

Apr 17, 2011 There’s a conference on Quantum Theory and Gravitation at the ETH in Zurich, June 14–24, 2011. Mar 24, 2011 Some more discussion of the notions of “equivalence” in homotopy type theory.

These seven equations between binomial coefficients are ‘coincidences’ — they aren’t among the four known infinite families of such equations: At that time, he and his collaborators checked there were ...

Let’s climb up to the E 6 root polytope starting with some of its 4-dimensional faces, which are called 4-demicubes because you get them by taking a 4-dimensional cube, or tesseract, and removing ...

How category theory can be used to help coordinate collections of interacting large language models. Agent frameworks are popular. (These are frameworks for coordinating large language model agents, ...

It’s an underappreciated fact that the interior of every simplex Δ n \Delta^n is a real vector space in a natural way. For instance, here’s the 2-simplex with twelve of its 1-dimensional linear ...

We start by introducing Petri nets and elementary Petri nets, which will be the focus of this post. In general, the weight of each condition can be an integer. In the case of elementary Petri nets, ...

Joyal’s proof was published here: André Joyal, Une théorie combinatoire des séries formelles. Advances in Mathematics 42 (1981), 1–82. (I try not to link to Elsevier, as I’m permanently furious with ...

A distinction is made within philosophy between formal and material inference. The first of these operates purely through the logical form of the relevant propositions, whereas the second relies on ...

I don’t really think mathematics is boring. I hope you don’t either. But I can’t count the number of times I’ve launched into reading a math paper, dewy-eyed and eager to learn, only to have my ...

Back to modal HoTT. If what was considered last time were all, one would wonder what the fuss was about. Now, there’s much that needs to be said about type dependency, types as propositions, sets, ...