Tom de Jong
Postdoc at the University of Nottingham working on type theory. PhD from the University of Birmingham. Mathematician, computer scientist and runner.
Postdoc at the University of Nottingham working on type theory. PhD from the University of Birmingham. Mathematician, computer scientist and runner.
@boarders Argh, sorry, this was caused my some annoying GitHub Pro issue. Everything's back online now.
Thanks for letting me know!
@zwarich @mortberg @jonmsterling I don't think I would trust a MM0 mechanisation more than a Lean one, because I trust the process, not the result. What imho really increases trust is the combination of heavy scrutiny by both the humans and the machines, because they work in very different ways and thus spot very different things. In that regard, for instance, the Liquid Tensor Experiment was a great achievement: both excellent mathematicians and the machine, working together in synergy to digest a very technical and difficult proof.
But in any case I feel like this question of trust is not that important. As was said elsethread, when it comes to mathematics I am not drawn to mechanisation because of distrust (things are different for software). I care about mechanisation because it helps us in building new proofs and making old ones better.
@mevenlennonbertrand Focusing, maybe not, but there's definitely some synthetic homotopy theory in agda-unimath for instance.
@oantolin @mevenlennonbertrand You may have been talking about different unimaths (agda-unimath vs Coq-Unimath)...
RE: https://mathstodon.xyz/@de_Jong_Tom/116896249002494887
Teaching homotopy type theory in just 5 lectures was certainly a challenge, but also a hugely enjoyable one!
Many, many thanks to all that attended for their engagement and lovely questions! I had a fantastic time in Prague where I also enjoyed hanging out with @VojtechStep 😊
Now time for some holidays!
RE: https://links.bouncepaw.com/2290
This was a fun read
https://www.pacifict.com/Story/
@freekwiedijk.bsky.social It's like, this statement is technically correct in that it type checks (i.e. we *can* say it), but it might not vibe check in that we don't expect the statement to be true or that it doesn't reflect what we intended to express.
As usual, it doesn't work well to explain a joke 🙃️
Who came up with the "type check" vs "vibe check" joke? The students in my HoTT course liked it, and I also like it a lot (and it's actually useful in some explanations). But I would like to remember who came up with it, so that I can give them credit in the future.
Part 2 of Extensionality vs Intensionality in Type Theory with Loic Pujet (@typeintype)! I could listen to that gentle voice all day!
https://open.spotify.com/episode/3qVhzF802KG18AQ9P9JEwR
I'd love to do an episode where we explore all the anti-classical variants as well.
Part 1: https://open.spotify.com/episode/5B8uY9mdMzKNcqy9WkG5cn
Aaand the RSS: https://anchor.fm/s/db787130/podcast/rss
@danielgratzer See also https://martinescardo.github.io/TypeTopology/AlgebraicStructuresForcingSethood.index.html and https://martinescardo.github.io/TypeTopology/AlgebraicStructuresForcingSethood.Majority.html by @jakub_et_al in particular (I made a "streamlined" version: https://martinescardo.github.io/TypeTopology/AlgebraicStructuresForcingSethood.Majority-streamlined.html).
@foone You're not the first to raise this concern. Edsger Dijkstra already raised it 50 years ago…
https://www.cs.utexas.edu/~EWD/transcriptions/EWD06xx/EWD667.html
@FishFace I remember my maths teacher in high school mentioning it, but our textbooks didn't. (I was in high school only in 2006-2012.)
Super pumped to have interviewed Loic Pujet (@typeintype) for a new episode!
We talked about extensionality in type theory, which comes up a lot in practice (and in theory).
https://open.spotify.com/episode/5B8uY9mdMzKNcqy9WkG5cn?si=OrhgF2J5QH-T6OVZH8ygBg
as usual, the RSS:
Just learnt that our paper "A study of Kock's fat Delta" (https://arxiv.org/abs/2503.10963) with Nicolai Kraus (@Nicolai_Kraus), Simona Paoli and Stiéphen Pradal (@Stiephen) was accepted for publication in the Journal of Pure and Applied Algebra (JPAA).
I'm quite happy about this, but I'm especially pleased for Stiéphen who's currently working hard to write up his PhD thesis!
