Since the lows are inevitable, it'd be nice to experience the highs.

Il y a aussi le problème plus fondamental que les gens sont facilement influencés par le culte de personnalité

It's been a couple of rough decades is all

... and worry later about proving that those values are correct, instead of taking in a proof of definedness.

As a dependent type theory enthusiast, this makes me sad. I do wonder if full blown horrible ETT helps in this case.

The development is still messy, but the main observation is that partiality is still excruciating. Even with computation proof irrelevance, sometimes Lean didn't want to perform a rewrite.

I guess this is the lesson everyone learns, which is you should have partial functions return "dummy" values..

... I had a weaker (or rather, more general) notion of critical pair, which required proving a lot more things joined (in fact, an infinite number!).

The final statement needs most general unifiers to make the set of all pairs finite for finite rewrite systems.

traat-lean/Traat/criticalpairs.lean at 4a37997cfb0abdbbeba2a74f4407cc643ffc53ee · codyroux/traat-lean Lean formalization of selected lemmas from "Term Rewriting and All That" - codyroux/traat-lean

Finally proved the critical pair lemma in Lean!

Not sure if it's been done before (in Lean, it's been done in Isabelle and Coq both, I believe).

github.com/codyroux/tra...

I prematurely announced this, but I hadn't quite proven the full theorem yet...

With almost 10 billion humans on earth and a huge housing crisis, I think "the backrooms" is just real estate porn

Like many people who "care about the big picture" and "don't sweat the details" I, too, am a waste of air

I can't wait to be old and grizzled enough to have a detective series carrying my name

Incroyablement, presque toutes les villes allemandes se retrouvent sur une même sphère!

Artie

Do you have references? These sound cool.

Go nuts!

In the "natural" language associated to it (whatever that means!) to be provable without ever unfolding the definition.

What are sufficient conditions for this? Of course, having the original definition as an equality would work, but that's a little boring.

I wonder if logicians have something to say about heuristics for definition unfolding: you'd expect the answer to be "no" but I'm not so sure!

I think a good heuristic is for definitions to respect the "synthetic theory" boundary: we want the statements about the definition...

Idk how high functioning alcoholics do it. I'm a low functioning sober.

I'm really walking a fine line between "lazy and boring" and "clinically depressed"

So rude. Fair, but rude.

What would the most *awkward* foundations of mathematics be?

Like one where if aliens used it we'd be like "do we actually want to be in a Federation with these peeps?"

Peut être les intuitionistes....

I worry sometimes that the only people capable of holding a position of power are the only people callous enough to withstand the constant scrutiny of millions of humans

Total​​​ly!

It's actually a shell corp for offshore shill sharks

Formalizing logic Spotify video

Chatting about logic & stuff with @sandmouth.bsky.social ! He should be promoted to permanent co-host.

open.spotify.com/episode/4tr0...

As always; the RSS: anchor.fm/s/db787130/p...

The closet POV:

I'm building my tiny little proofs like others build tiny furniture for their dollhouse

I am living proof that looks are pretty important, actually.

Ok but then where's the drugs in my gum!?