iiinova — where your digital self keeps evolving

arthur @arthur-i.bsky.social · 05/06/2026

And I never do, because I am a dumb stupid idiot reader, is the issue unfortunately

arthur @arthur-i.bsky.social · 05/06/2026

Every time I see something along the lines of "The careful reader might notice that ..." I'm just like, wow so what am I then, the dumb stupid IDIOT reader????????

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arthur @arthur-i.bsky.social · 21/02/2026

inductive types probably the greatest thing humanity has ever invented apart from sliced bread, or like, the tortured poets department

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arthur @arthur-i.bsky.social · 20/02/2026

I hate finsets!!!!! fuck you finsets!!!!! if you're a finset I hope you die!!!!! - me complaining so I magically get better at them

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arthur @arthur-i.bsky.social · 27/01/2026

genuinely lol it's kinda beautiful but also like this is the ugliest shit I've ever seen!!!

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arthur @arthur-i.bsky.social · 27/01/2026

what do you mean one of the generators of pi_14(S^4) has order 120. now you're just making stuff up

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arthur @arthur-i.bsky.social · 27/01/2026

sometimes I like looking at the wikipedia page for homotopy groups of spheres to see this absolute monstrosity. makes me sick to my stomach

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arthur @arthur-i.bsky.social · 23/01/2026

I mean I know lean can infer everything from the 2nd calc step but still

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arthur @arthur-i.bsky.social · 23/01/2026

this is killing me lol I didn't expect these underscores to actually work

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arthur @arthur-i.bsky.social · 19/01/2026

one of my dream goals atm is to be able to formalize stuff like heine-borel, or like maybe singular = simplicial homology on my own. I'm probably crazy and this requires a ridiculous amount of work, but like idk I have some inkling of hope and/or delusion that it's possible

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arthur @arthur-i.bsky.social · 19/01/2026

this .lean file containing MyNat is now 800 lines long lol, though honestly I thought I would need more theorems to be able to do this

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arthur @arthur-i.bsky.social · 19/01/2026

ok this bit was just for fun/practice but holy shit I managed to prove exists_infinite_primes from the bottom up LET'S GOOOOOOOO

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arthur @arthur-i.bsky.social · 19/01/2026

this is surely the most efficient way to do this

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arthur @arthur-i.bsky.social · 15/01/2026

I've genuinely lost some sleep over this and I found out it's not even that hard to prove m </= n => n < m directly lol

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arthur @arthur-i.bsky.social · 15/01/2026

my original proof of le_total sucked ass too. I proved that m <= n was equivalent to m - n = 0 (for naturals), so then le_total would be equivalent to m - n = 0 or n - m = 0. which I then proved but like ?????? wtf was I doing

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arthur @arthur-i.bsky.social · 15/01/2026

there's this section in the book where it shows you how to define the naturals as an inductive type and it asks you to prove a few properties of add and mul before moving on to the next thing, but then I got sidetracked and now a few days later I've done le_total and lt_trichotomy lmao

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arthur @arthur-i.bsky.social · 13/01/2026

why is mathlib so fucking massive anyway, aren't the individual .lean files like, on the order of a few kilobytes each what are they doing

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arthur @arthur-i.bsky.social · 13/01/2026

downloading hytale rn and I'm just like, wow this is literally 4x smaller than the entirety of mathlib

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arthur @arthur-i.bsky.social · 06/01/2026

ooo yeah nice! I did notice Set.piecewise as well. for some reason I never thought to check if that was a thing lol

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arthur @arthur-i.bsky.social · 06/01/2026

LMAOOOO this is actually really clean though holy shit, could genuinely learn a lot from this thank you

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arthur @arthur-i.bsky.social · 05/01/2026

I literally wake up and this is all I can think about it's actually a problem

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arthur @arthur-i.bsky.social · 05/01/2026

you will not pry Classical.choice out of my hands btw (I mean maybe someday idk)

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arthur @arthur-i.bsky.social · 05/01/2026

oh my god we're gaming??? I wanted to try to formalize schröder-bernstein myself so I got rid of the proof sketch that they gave in the book. this is so scuffed lol

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arthur @arthur-i.bsky.social · 25/12/2025

I think at one point the only experience I had was playing the natural number game and doing some stuff with sets. and because I was learning topology at the time I thought maaaybe I could try to do some theorems in lean. did not take that long for me to realize I was completely out of my depth

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arthur @arthur-i.bsky.social · 25/12/2025

how am I just now finding out about the Mathematics in Lean book, this is literally all I wanted like a couple years ago lol I just wasn't looking hard enough apparently

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arthur @arthur-i.bsky.social · 19/12/2025

somewhere along the way I just completely stopped caring about hypothesis names

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arthur @arthur-i.bsky.social · 19/12/2025

started doing alex kontorovich's real analysis game recently and these limited tactics and theorems are actually destroying me LOL. it's great practice though

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arthur @arthur-i.bsky.social · 08/07/2024

me too!! I just wish my brain could do both at once, but the past week has shown me that math will just take over completely whether I want it to or not haha

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arthur @arthur-i.bsky.social · 08/07/2024

I mean the gator absolutely popped off especially on twitter so I'm pretty happy but this is still very difficult

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arthur @arthur-i.bsky.social · 08/07/2024

having math withdrawal........

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arthur @arthur-i.bsky.social · 04/07/2024

I've even made a to do list for stuff to try to prove/construct/look into like this would've consumed me for a while

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arthur @arthur-i.bsky.social · 04/07/2024

need to be locked back in to making art so no math for like a week or something 😔 I literally have to stop myself from looking at anything math-related lol it's so dire

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arthur @arthur-i.bsky.social · 03/07/2024

I only vaguely understand how inaccessibles solve this problem so honestly I'm just assume people have it figured out and continue to use CAT guilt-free

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arthur @arthur-i.bsky.social · 03/07/2024

need mathematicians to make CAT real at some point. I've written CAT//Set a few times now and I always feel guilty lol

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arthur @arthur-i.bsky.social · 03/07/2024

lmao I'm glad, I haven't even worked with those yet and I already hate the name

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arthur @arthur-i.bsky.social · 02/07/2024

I think once the gay furries get into category theory it'll usher in a new golden age of math

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arthur @arthur-i.bsky.social · 02/07/2024

omg I'm exactly the same lol, my main motto in life is that I can't do more than two things without severely underperforming on all of them as a result, and even two is stretching it. but I can't just let my interests go so unfortunately I guess I'll just suffer !

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arthur @arthur-i.bsky.social · 02/07/2024

I'm very annoyed that I can't just focus on both math and art at the same time lol, like learning about adjoint functors has been very fun and all but I need to be spending my time drawing hot men!!!!!

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arthur @arthur-i.bsky.social · 01/07/2024

true! though personally the directions of the 1-morphisms and 2-morphisms used for // feel very natural to me at least visually lol so it's well-deserved bias

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arthur @arthur-i.bsky.social · 01/07/2024

why are limits so bad lol, I've been trying to generalize (co)limit functors and finally figured out you can turn colimits into a functor Cat//C -> C, but for limits you have to use something disgusting like (Cat^co//C)^op -> C 🤮

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