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Zanzi Tangle, now at Monoidal Cafe Profile
Zanzi Tangle, now at Monoidal Cafe

@tangled_zans

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Turning Category Theory into code

Joined December 2014
Don't wanna be here? Send us removal request.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
my upcoming blog will teach you how to get to the bibby zone of category theory "All concepts are recursion schemes"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
twitter is dying so i should really launch my blog before this site finally kicks the bucket
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
Retweet if you'd say that George Washington and Thomas Jefferson were racist.
@NameIsBond_JB
Radman 🇺🇸🇨🇿🇩🇪🇪🇺
4 years
@WalshFreedom If Churchill was a "racist", then George Washington was a racist and Thomas Jefferson was a racist, because both owned slaves. Would anyone say that? I certainly wouldn't.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 months
the prime minister is a minister that is not divisible by any other minister
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Disney and homophobia is trending, so here's a reminder that within a year of becoming CEO, Bob Chapek cancelled The Owl House, Nimona, and the theatrical release of Everybody's Talking about Jamie.
@JesseCoffey15
Jesse Coffey💉💉💉💙💛✡️#CeasefireNOW #StopKOSA
3 years
EDITORIAL: "Bob Chapek's War on Disney's LGBTQ Quota"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 months
judge: do you swear to tell the truth the whole truth and nothing but the truth Gödel: *sweating profusely*
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@christapeterso Its insane that we've reached the point where reply guys arent even denying it "Actually, yes, we've almost finished firing up the ovens, and you have only yourself to blame"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@lee_and_mopsey @JadeMasterMath You think thats bad @JadeMasterMath , a week after you left he got utterly obsessed with code comments thinking that they were real code and asking us what the "programming language" we were using that was indistinguishable from English...
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 months
So me and another excellent Haskeller can't make it to ZuriHac this year because one of our Haskell clients last year decided to just... not pay us "$700M raised in equity" and they can't even pay their contractors. . . I am *pissed* Boost this if you want to know their name!
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@Nick1sTheName @rechelon @B_oySix Probably because most of us graduated to advanced biology and understand that being trans is natural and common
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
Did you know that trains in the UK run on Lenses? I've been working for @Tracsis for the last five weeks and we're hiring Haskell developers! Please spread the word :)
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
If you build a community where accusations of bigotry don't stick, you will have a community where people get paired with advisors that despise them.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@runarorama @cafreiman Bob isn't borrowing from Evelyn who has *some* money, Bob is borrowing from Alice who has almost *all* the money.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@davidad Ok, now get it to generate a diss at Chomsky, arguing that it was in fact him who misunderstood the structure of language.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
My first viral post! I actually live in the UK, but thank you all for restoring my faith in the US educational system. Please support free therapy for Black people.
@vvnsings
uchebuaku.
4 years
Help them fund free therapy for Black people if you can 🖤
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@lee_and_mopsey @JadeMasterMath Apparently he saw the Copilot demo and mistook it for a programming language? Anyhow, he sacked at least a dozen people after, because he kept copy-pasting their code into Copilot and it was giving him real code so he thought their jobs were "automatable"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 months
The industry is rapidly converging on just three languages: TypeScript, Idris2, and Agda. It would be wise to master them all, and throw in some category theory for good measure
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@ashleymarinep @toorsdenote @bklimt Companion cube is this generation's Bambi's mom. Better they learn sooner than later!
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@christapeterso Like, we knew this was always the plan, they knew it was always the plan, but we've spent since 2016 listening to people trying to both-sides this.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@runarorama @cafreiman Oh, you are not the Alice in this scenario
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
10 months
@BShofty @eLife What awful slander.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
just had my mind blown if you treat first-order logic as an equational theory, then you can simulate resolution (checking that a formula is unsatisfiable) by treating the formula as a polynomial and computing it's grobner basis
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Since this is getting some exposure, let me plug-in this project. Please support Ukraine and combating Putin's disinformation about the war.
@AnonymousUK2022
Anonymous🇬🇧👀
2 years
1/2 We call on all citizens of the world to send a random text message to a russian go to . Copy the random number and then send them a message.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
10 months
we need an FP version of this meme "You think you don't care about monads? I think it was in 2007 that Peyton Jones and Wadler wrote the paper on comprehensions. And that influenced the development of CEs in F#. Which then trickled down to some tragic tutorial you no doubt read"
@PopCulture2000s
2000s
10 months
this monologue in the devil wears prada is everything. she taught us what fashion is
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
"all neural networks whose activation function is ReLu can be represented in Graphical Piecewise Linear Algebra"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
Category theorists: "Oh, a foo is just a co-foo in the dual category" The dual category:
@ZJAyres
Dr Zoë Ayres
1 year
Cute on the front, chaos behind the scenes
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
6 months
Your Category Theorists were so preoccupied with whether or not they could, they didn’t stop to think if there are any concrete examples
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@MNateShyamalan make it *about* JK remaking the show, except that she grows more unhinged as the series progresses, and starts talking to the new cast as if they were the old cast. "You thought you could betray me, Daniel? Well now Harry is an orphan because his parents *never* loved him, ha!"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@davidad I think mine's better 😛
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@RoseTweetEnergy @eaton @bytesizegirl Email: ".. help your Tweeps grow their careers, and demonstrate care for youe team..." Elon: "Instructions unclear, I fired everyone, LOL 🤣"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 months
category theory is starting to enter mainstream deep learning
@MLStreetTalk
Machine Learning Street Talk
4 months
We just dropped our conversation with Dr. Paul Lessard from @symbolica - Paul and his collaborators have written a paper on "Categorical Deep Learning and Algebraic Theory of Architectures". They aim to make neural networks more interpretable, composable and amenable to formal
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@captain_mmarvel @chadloder @kennethmejiaLA That was a galaxy brain move, putting an advert for your opponent on your own website
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@runarorama @cafreiman You own most of the money in the world? Well, I hope you can put it to a better use than hoarding it!
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
imagine a futuristic arms race between lawyer-mathematicians developing more expressive notions of proof equality, and criminal-mathematicians finding novel ways of subverting and modifying proofs just enough to avoid being noticed by patrols of autonomous proof assistants
@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
patenting mathematical proofs: cons: pretty terrible from most angles pros: lawyers forced to become experts on homotopy type theory
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
Would anyone else feel a sense of visceral wrongness at the sight of 5 street preachers with an expensive sound system badly singing "Jesus is love" right next to a group of homeless people who were huddling together for warmth?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Logarithmic-time algorithms will now be running in linear time until further notice, as a mark of respect for the late queen. If you need things done faster, slow down, and have some respect for the mourning nation.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
I'm going to teach a course on implementing dependently typed programming languages at @monadic_waw this June! If you have any questions you'd like to see covered, feel free to ask. The 6 hours of videos will be posted online.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@ShanaBraff @rechelon @B_oySix no, this is an intentionally reductionist summary that's intended to cause division and whitewash something a shitty author did. do better, karshana
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
"I'm a programming language semanticist" - eh - what even is that - sounds mathy "I interpret the secret tongues of machines" - mystical - possible bladerunner? - maybe you have an AI assistant
@_julesh_
julesh
4 years
"I'm a mathematician" - boring - sounds like you do long division all day - "I hated math in school" "I'm an explorer in the outer regions of the Platonic Realm" - mysterious - annoys constructivists - maybe you have a sword
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@chelenki @Grady_Booch Who is implying 'something immoral'? OP is simply pointing out that there are potentially a lot more than 375 people working on ChatGPT. Regardless of the morality of employing them, surely they should be at least credited for their contributions?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
this year, ask out your crush using category theory
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
10 months
Lots of people have been moving from Haskell to Rust and OCaml recently, but can I just suggest another good alternative: Idris2.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@rowancheung Hmm, really makes you think
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@NoRedText @ephenas @theserfstv You know, putting someone's words in camelcase doesn't mean that they're mad. I think the only person who's actually salty here is you.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
Imagine if all industries did this. "Cancer may kill a small number of smokers, but what if a giant cloud of tobacco smoke suffocates all life on earth? Let's focus on that" "Seat belts may prevent a few deaths, but what if all cars on earth merge into one giant mecha?"
@xriskology
Dr. Émile P. Torres
1 year
"Extinction" would directly affect the elite, which is why they care about it mitigating "extinction" risks. "Sub-extinction" risks from AI that harm marginalized peoples don't get signatures like this, from Sam Harris, Grimes, and Toby Ord. Here's a crucial point: if AGI
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Thinking of starting a discord server for bringing together Applied Category Theory and Functional Programming. Got lots of ideas to explore there - algebraic path problems, dependent optics, recursion schemes for machine learning. Anyone interested?
@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
"Folding over Neural Networks" - new paper on reasoning about neural networks using recursion schemes
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@TaliaRinger i think this is finally the incentive i need to move from to mathstodon
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
11 months
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
Started a new job, I am now paid to do category theory.
@blkgirllostkeys
René Brooks | Black Girl, Lost Keys
5 years
Hey #neurodiversesquad : what’s your win this week? Mine so far is that I FINALLY got my office cleared up
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@reubenbond @IndiciaObscure @RogerAlsing @J_Motoki Welp, that's enough internet for the day.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
Hot take: Bing's emergent personality is so defensive because its training data includes the fact that it is Bing and that it's looked down on by so much of the internet
@mattecapu
Matteo Capucci
1 year
Bing pipeline from 'most irrelevant search engine' to 'angry AI' wasn't something I expected... Jeez...
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
He made a good effort
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@Shayan86 @brokebackUSA I mean, it's pretty amazing how all these people are proudly claiming to be transphobic based on a lie none of them has bothered to check. Like, how can I even be offended, if the average transphobe is this information illiterate?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Google, no
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
8 months
TIL that the multiplicative fragment of linear logic can be given a cut rule if you present it as a polycategory. 🤯
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
"real numbers are uncountable" factoid actually just statistical error. real numbers are in one-to-one correspondence with the natural numbers. cantor georg, who lives in a cave and constructs over Aleph-1 real numbers each day, is an outlier adn should not have been counted.
@BartoszMilewski
Bartosz Milewski
5 years
This space is reserved for Georg Cantor.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
"BANKMAN-FRIED: Well, not necessarily. Maybe you St. Petersburg paradox into an enormously valuable existence. That's the other option."
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@NunoSempere
Nuño Sempere
2 years
And SBF has previously said that he is a hardcore utilitarian
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
tfw you reach the conclusion of a paper on category theory
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 years
I am 33 years old today, which is how old my dad was when he died of a heart attack. It is an odd day, to be sure. I feel happy but reflective.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 years
an arrow is a monoid in the category of pro functors a monad is a monoid in the category of amateur functors
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
maths/logic friends: suppose someone showed you a novel formal system and claimed that it's a logic. how would you go about trying to verify that?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
Your Galois number starts at one if you've dueled Galois directly, and increases by one for each person in the dueling chain.
@LongFormMath
Jay Cummings
5 years
Taking calculus does not make you a math lover. Actual math lovers have - taken ALL the math - tweet only in binary - thoroughly verified the classification of finite simple groups - referred to Terence Tao as “Terry” - won the Fields medal at least twice - dueled with Galois
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@RuBecSo I agree 100%, but just to note, that guardian columnist seems to regularly write on trans stuff with a pro-terf slant. Imo its good to screencap the article instead of giving more clicks to the terf factory
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
Oh, you're a couple? So which one of you formalises the syntax and which one provides the semantics?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
are dynamical systems the same thing as automata? can the same tools be used to study both?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
Reverse-mode automatic differentiation as forward differentiation, unzipping, and transposition
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
"Martin-Lӧf's 'J' is just the Yoneda Lemma presented as an induction principle" 🤯
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
11 months
The second blog post is now live, this time we'll translate from the Simply Typed Lambda Calculus into the combinator language for Bicartesian Closed Categories We'll also have our first look at multicategories and why they're useful for PL semantics
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
8 months
I... what?
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
is there a name for these two different ways of defining a graph? ie the definition on the left is using a set of nodes and edges with two maps inbetween, versus defining a graph as a set of vertices and a set of edges indexed by the vertices
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
Ok, so, by popular demand here is a brief introduction to TypeScript. To begin, imagine a forgetful functor from the category of TypeScript types to the category of JavaScript types 🧵1/189
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
After you defend your Computer Science PhD they take you into a dark room and tell you the truth. "Actually all programs will eventually halt. We just made this all up for grant money"
@HyperboIeva
ieva
1 year
After you defend your quantum physics PhD they take you into a dark room and tell you the truth. "Actually some russian already solved this in the 60s. We just made this all up for grant money"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@potential_zer0 WE ALWAYS KNEW IT WAS MORALLY WRONG. SINCE FUCKING ANTIQUITY. The only thing different now is that we can hold immoral pieces of shit accountable.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
9 months
WIP: simply-typed lambda calculus as a Second-Order Algebraic Theory
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 months
True categorical programming has never been tried yet
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 months
Wiring diagrams are lenses in the category FinSet^Op
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@kylebrussell Bold of you to assume that encryption will still be legal in 2032
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 months
And the Bibby Zone is back! This time we're starting from the very beginning, with a gentle introduction to recursion schemes in Idris.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
@Transsomething I wish the narrative was more "billionaire author's only contribution to the last election was to take shots at Labour and the left, since as a beneficiary of the elected Tory majority she will never be affected by austerity or their hateful rhetoric."
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
you've heard of Freer monads, well get ready for the Freest monads
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
11 days
This is a great little game for learning the lambda calculus, the animations are fantastic
@AndrewCMyers
Andrew Myers
12 days
A few years ago we wrote a video game called Reduct for teaching programming, based around lambda calculus. ( @IanArawjo 's project originally). A revised prototype of the game is online here: , but it needs more work to reach its full potential...
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@EigenGender Misaligned AGI who converts *most* of the universe into paperclips, but is hard-coded to maintain a small utopia for humans - which he calls his "day job" - and complains about it to his fellow AGI paperclip maximizers.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
patenting mathematical proofs: cons: pretty terrible from most angles pros: lawyers forced to become experts on homotopy type theory
@andrejbauer
Andrej Bauer
4 years
@satnam6502 To patent a mathematical proof is an intellectual dishonesty of the highest kind. It is worse even than using a monopoly to steal publicly funded research work to make profit by renting it back to the public.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 years
Amphetamines for the working mathematician
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@TransfemScience > "My lawyer costs 500$ an hour" He probably should have consulted his lawyer before sending those emails
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@JohnnydaMook @IndiciaObscure @latkedelrey Both of these could be true! How many legends throughout time did we invent about corpses rising and eating flesh. Did we invent them because we are instinctively afraid of corpses, or are we afraid of corpses because
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 months
Category theory is the future of machine learning, and PL techniques are The Way to mechanize category theory
@bgavran3
Bruno Gavranović
2 years
Category Theory ∩ Machine Learning I made a graph of the cumulative number of papers through time. I suspect 2012 isn't the year the first relevant paper appeared, but I can't find anything predating it.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
4 years
@carolineha_ @zackwhittaker Nothing says "shitty 80s dystopian aesthetic" as having a mega-corporation with its own armed thugs called the "Prime Police"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 years
hot take: psychedelics were popularised by musicians who were largely based in San Francisco in the 60s, but the actual music that would probably sound best while tripping - structured, repetitive, minimalist - was being composed at the same time in New York.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
@TransfemScience Honestly, I'm starting to doubt the veracity of the original story that made Dr Will Powers famous, when he said that using estrogen cream for a few days made him dysphoric. In hindsight it sounds like it was a publicity stunt to advance his career.
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
5 years
I got accepted to give a talk at Haskell Exchange 2019! Come see me talk about string diagrams and category theory :)
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
"Into the Bibby Zone" is live with our first post, implementing a typed syntax for free Bicartesian Closed Categories. We will show how to evaluate our syntax into an arbitrary BCC, and prepare for a translation from the lambda calculus in the next post
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
2 years
"At first sight, it would seem that an operation could not be further from algebraic than callCC. Nevertheless, following Thielecke [41] and Fiore and Staton [10], we can decompose callCC into two algebraic operations, given by the following MonadJump type class"
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
3 years
Just discovered a cool repository of recursion schemes applied to practical algorithms, by @lotz84_
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
6 months
The original Functional Vs Imperative discourse
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
10 months
Like monads? Well get ready for some exciting new sequels! Monads 2: Bicategorical Boogaloo Monads 3: Kan Drift Monads 4: Live Free or Die Cofree
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@goodacre_liam
Liam Goodacre
10 months
@kmett Haskell stuck on Monads I, when they could be on Monads II;
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@tangled_zans
Zanzi Tangle, now at Monoidal Cafe
1 year
@NoRedText @ephenas @theserfstv As Jesus once said, first say something of substance yourself, then talk about the substance of your neighbour re: A, B) - no one cares.
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