I moved from remarkable to supernote and feel similarly, supernote feels waaaay more lovingly considered

“So I wanted to steel man the case for detention centers” - despicable rubbish

Klein and Thompson at their worst just love this twitter fash driven middlebrow intellectual exploration and both their publications seem to think it is the height of sophistication

can’t believe your uncle works at the box making factory

fresh “im a new deal democrat” logo

unfathomable levels of gender in this quote

technocrats trying to do focus group populism are totally misreading the moment and will 100% fail to defeat the rising white identity politics

Schur Functors and Categorified Plethysm It is known that the Grothendieck group of the category of Schur functors is the ring of symmetric functions. This ring has a rich structure, much of which is encapsulated in the fact that it is a "pl...

I've written a couple of papers on how Core(FinSet) being the coproduct of all the symmetric groups helps us understand representations of symmetric groups, and how those are related to symmetric functions.

Unfortunately the first has an unnecessarily scary title.

arxiv.org/abs/2106.00190

W

If it is a formal theorem prover like lean then you only need to check the definitions are correct and none of the proofs use ‘sorry’ (which the system will tell you you)

person who couldn't name a single film, university, television network in iran: do you know anything about iranian society???

they’re corner shops that sell a breakfast bap

most people don’t finish Les Mis

I have the same thought about academics who get into the culture war, which clearly is an easier path to “being a public intellectual” than having something new and profound to say

describing this as basic and brave new algebra as the bimboification of mathematics

I love this goofy little nothing arg about binary ops is like “oh maybe this tells us something fundamental about the delooping of a higher monoidal category”

semi interesting that eckmann—hilton has a kind of “co-weakening” thing going on where it is easier to conclude that both operations are equal and commutative, than to conclude just one of those facts

originally tried doing this with MulOneClass (which is the same concept as MagmaWithIdentity) but found it impossible even passing typeclass args explicitly as the typeclass inference constantly kicks in and gets confused as it tries to look up instances

100% - your enemy in the job market is not recognising your worth and the treasures you have already at hand

In some sense, taking the coproduct over all n in Core(FinSet) i.e. the groupoid of all finite sets and bijections, is an important example of a coproduct decomposition of a category (and the same goes for e.g. Core(FinVect)

elementary usage I recently had in mind: if a functor is fully faithful, then need it be injective on morphisms? No! consider [id,id] : C ⊔ C → C

agda proof of eckman--hilton

in comparison this agda proof is too wordy but syntactically v pleasing

lean 4 proof of eckman--hilton

proof of eckman--hilton, really leaves something to be desired and I wonder how a nicer version would look (in terms of syntax)

choose to believe this is a meme about cubical agda

I thought it would be writing on-the-fly python scripts to extract tables from pdf documents

imo I think a better term, in this context, is to cal them a type of (stochastic) program synthesizer, and the specification/tests/compiler/linter/typechecker as, hopefully, the verifier

the conspiracy theory I meant to be referring to is that notion capitalism keeps tons of people employed even whilst what they all do is useless

I would say it is best to not think about it as a categorification of a top space, but also lawvere says you think of this as a “locally” modality which gets at spatially what coverages are about

you’ll probably enjoy Lawvere’s def more if you haven’t come across it, a topology is a strong monad on Prop

Not standard but started as broadcasting of women’s cricket has become more common in the last ~5 years and is now not unusual