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

I would go further and say there is no fact of the matter — if I am writing rust/haskell and know how the project should go, then code is a fun and enjoyable part, if I am writing make/docker/figuring out how this C++ project builds then “code” is the hard part because I’m totally blocked on it

Lots of people don’t understand how their job is useful because it is part of a complex system that relies on network effects and economies of scale. Conspiracy theories are the cybernetics of fools

In our purely consumerist politics $3.50 translates to about $50

it is clear when someone is doing this with any new technology because they won’t even try it out and see what is or is not the case

sooooo, what was your answer?

unreal

Set doesn’t have a classifier for finite subsets, but if you try to imagine a theory of (2,1) toposes then Grpd has Core(Set) classifying discrete fibrations / families as well as Core(FinSet) classifying finite discrete families

that’s just fomo hype beast morons, the real ones are posting that claude solved a problem of don knuth and appropriately reacting with some slight shock and awe

I am consciously trying to do less hard thinking and skill development on things I’d rather weren’t ever valuable and more on the opposite

W

lean 4 def of well pointed topos

getting started on basic topos theory, will need to take a detour into lattice theory + developing that Hom 1 Ω is a lattice (not sure how to develop that it is an internal lattice object atm)

for now