Category Witch retweeted
I can suggest an equation that has the potential to impact the future:
πππ(ππ¨π¦(β, πΆ), πΉ) β
πΉ(πΆ) + AI
Given a category π, a functor πΉ : πα΅α΅ β πππ, and an object πΆ β π.
This equation combines Yonedaβs famous Yoneda lemma, which relates a category (π) to a functor (πΉ: πα΅α΅ β πππ) and the speed of light (πΆ β π), with the addition of Al (Artificial Intelligence). By including Al in the equation, it symbolizes the increasing role of artificial intelligence in shaping and transforming our future. This equation highlights the potential for Al to unlock new forms of energy, enhance scientific discoveries, and revolutionize various fields such as healthcare, transportation, and technology.
I think this is more like a particular choice of semantics for programs, which makes sense in some contexts but not others. Or maybe I'm missing the point that all programs can be reduced to these somehow?
Still getting weirded out about how:
Lax functors C -> Span
And
Lax normal functors C -> Prof
are the same thing
Category Witch retweeted
For R&D community nucleation, itβs exciting that @ToposInstitute opened a UK office, relocating @u_map_prop and @myers_jaz; while @JadeMasterMath and @tangled_zans used our funding to launch a new nonprofit research institute in Glasgow (GLAIVE: Glasgow Lab for AI VErification).
You, foolishly: a double category has horizontal and vertical morphisms
Me, wise, laying flat: no those are vertical and horizontal morphisms
Yes exactly. The trick is to find the right generality where the definitions have canonical choices

























