2024/06/03

2024-06-03 00:00:04 +0200myxos(~myxos@syn-065-028-251-121.res.spectrum.com)
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2024-06-03 00:33:29 +0200acidjnk(~acidjnk@p200300d6e714dc176c976a8b55dd22bd.dip0.t-ipconnect.de) (Ping timeout: 268 seconds)
2024-06-03 00:36:16 +0200 <yin> mauke: which haskell doesn't do, right?
2024-06-03 00:39:56 +0200 <geekosaur> polymorphic typeclass recursion can
2024-06-03 00:40:58 +0200 <yin> geekosaur: at *runtime* ?
2024-06-03 00:41:16 +0200 <geekosaur> not only can it create new types, it can create them from types that aren't even known at compile time but come from instances defined by some package that didn't even exist when you wrote your code
2024-06-03 00:41:28 +0200 <geekosaur> yes, at runtime
2024-06-03 00:41:40 +0200 <yin> can you point me to a simple example?
2024-06-03 00:41:48 +0200 <yin> this is new to me
2024-06-03 00:42:43 +0200 <geekosaur> considering what I just said, code that uses `SomeTypeclass m => m a` may find itself with an `m a` that can'tg possibly be known at compile time
2024-06-03 00:43:26 +0200 <geekosaur> all it knows is a passed-in instance dictionary
2024-06-03 00:43:28 +0200gmg(~user@user/gehmehgeh) (Quit: Leaving)
2024-06-03 00:44:15 +0200 <geekosaur> normally this isn't aa problem, but with polymorphic recursion in a typeclass method you end up with methods that can't be completely resolved at compile time even with WPC
2024-06-03 00:45:06 +0200 <geekosaur> this isn't what you normally think of with "types defined at runtime", but it behaves like that
2024-06-03 00:45:44 +0200 <yin> i see. thanks
2024-06-03 00:50:02 +0200 <geekosaur> I'm not sure of this but I think it may also verge on dependent types? since the type it constructs is defined by an instance record. but the compiler restricts it so much that you need hacks like IfCxt to actually explore that direction?
2024-06-03 00:50:17 +0200 <geekosaur> maybe I should say "type" in scare quotes
2024-06-03 00:59:27 +0200Square(~Square@user/square)
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2024-06-03 01:19:41 +0200sawilagar(~sawilagar@user/sawilagar) (Ping timeout: 240 seconds)
2024-06-03 01:20:36 +0200 <geekosaur> there was a practical example in here a couple months ago where, given [()] and a polymorphically recursive call, it generated [[()]] then [[[()]]] and so on which were never specified at compile time but generated on the fly by recursing on the typeclass method
2024-06-03 01:21:34 +0200 <geekosaur> because all of those types can be captured by a typeclass method that turns `a` into `[a]`, fed back into itself
2024-06-03 01:22:44 +0200 <int-e> > read "[[[[[[[()]]]]]]]" :: [[[[[[[()]]]]]]]
2024-06-03 01:22:46 +0200 <lambdabot> [[[[[[[()]]]]]]]
2024-06-03 01:24:40 +0200rdcdr(~rdcdr@user/rdcdr) (Ping timeout: 256 seconds)
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2024-06-03 01:29:45 +0200tremon(~tremon@83.80.159.219) (Quit: getting boxed in)
2024-06-03 01:55:10 +0200 <yin> for a moment there i thought this was #lisp
2024-06-03 01:59:29 +0200ystael(~ystael@user/ystael)
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2024-06-03 02:03:47 +0200peterbecich(~Thunderbi@syn-047-229-123-186.res.spectrum.com)
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2024-06-03 02:08:19 +0200 <int-e> yin: it just occurred to me that `read` fits the description geekosaur gave
2024-06-03 02:08:52 +0200 <int-e> even though I expect that the actual code was quite different
2024-06-03 02:09:23 +0200 <geekosaur> that type is specified at compile time via an ascription, no?
2024-06-03 02:12:10 +0200 <int-e> yeah which is kind of necessary because the value is actually returned rather than hidden in a recursive call.
2024-06-03 02:12:21 +0200peterbecich(~Thunderbi@syn-047-229-123-186.res.spectrum.com)
2024-06-03 02:13:35 +0200 <geekosaur> here's the original discussion from my logs https://paste.tomsmeding.com/cGswS9X2
2024-06-03 02:14:18 +0200 <int-e> the recursion part of this doesn't even require type classes. You can have data BalancedTree a = Leaf a | Nest (BalancedTree (a,a)) and generate a tree of depth n with foo :: Int -> a -> BalancedTree a; foo 0 a = Leaf a; foo n a = Nest (foo (n-1) a)
2024-06-03 02:15:22 +0200 <int-e> Ah that example is similar.
2024-06-03 02:15:27 +0200 <geekosaur> right, there's a distinction to be made between recursive typesand recursive typeclass instances
2024-06-03 02:15:49 +0200 <int-e> (the Show type class is involved but not essential)
2024-06-03 02:16:56 +0200peterbecich(~Thunderbi@syn-047-229-123-186.res.spectrum.com) (Ping timeout: 260 seconds)
2024-06-03 02:17:07 +0200 <int-e> Okay if the point was to point out that type classes are different from C++ templates then it is essential.
2024-06-03 02:21:20 +0200peterbecich(~Thunderbi@syn-047-229-123-186.res.spectrum.com)
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2024-06-03 02:54:44 +0200 <dmj`> mauke: intensional type analysis is a way around the polymorphic recursion inlining problem, Oleg explains
2024-06-03 02:54:54 +0200 <dmj`> rust still has this problem
2024-06-03 02:55:34 +0200 <dmj`> yin: it works by making a small interpreter from the recursive type language at compile time
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2024-06-03 18:31:26 +0200Tuplanolla(~Tuplanoll@91-159-69-59.elisa-laajakaista.fi)
2024-06-03 18:31:58 +0200 <tomsmeding> I'm writing a test suite with Hedgehog (quickcheck-lookalike); in a property, I first generate a length (from {0,...,8}), then generate a bunch of that length. The length==0 case should be tested, but results in just a single test case (everything is empty), yet of course the generator generates a whole bunch of zeros. Is there a way to reduce the amount of redundant 0 tests here?
2024-06-03 18:32:45 +0200 <tomsmeding> can I e.g. assume that, like with quickcheck, the Size parameter is 0 at least once (and probably not very often after that) while testing?
2024-06-03 18:35:37 +0200justsomeguy(~justsomeg@user/justsomeguy)
2024-06-03 18:38:22 +0200 <jackdk> tomsmeding: Hedgehog.Gen.frequency will at least allow you to change the relative frequency of zero vs. nonzero generators. I'm also interested to know if there's an easy way to generate exactly one "zero case", otherwise you could write a unit test for empty lists and a property test for nonempty lists?
2024-06-03 18:39:07 +0200wootehfoot(~wootehfoo@user/wootehfoot) (Ping timeout: 268 seconds)
2024-06-03 18:44:30 +0200 <tomsmeding> jackdk: unit test + property test is indeed one way to go, but that doesn't feel very nice :p
2024-06-03 18:45:37 +0200Guest76(~Guest76@119.34.172.187)
2024-06-03 18:46:40 +0200 <tomsmeding> I'll probably just reduce the probability of zero with frequency, indeed
2024-06-03 18:52:46 +0200 <tomsmeding> geekosaur: isn't a much easier example `withSomeSNat` or similar? https://hackage.haskell.org/package/base-4.19.0.0/docs/GHC-TypeNats.html#v:withSomeSNat
2024-06-03 18:53:19 +0200 <tomsmeding> index a type class on a type-level natural, parse a value-level Natural to a type-level one, and invoke the type class on that type
2024-06-03 18:53:29 +0200 <tomsmeding> there's an infinite number of types that could be
2024-06-03 18:53:56 +0200 <tomsmeding> (2^(number of bits in the maximum haskell heap size your machine will support) is not infinite, but close enough)
2024-06-03 18:56:50 +0200 <EvanR> please turn in your ultrafinitist card and weapon
2024-06-03 18:57:09 +0200ocra8(ocra8@user/ocra8) (Quit: WeeChat 4.2.2)
2024-06-03 18:58:49 +0200 <tomsmeding> (reads up on ultrafinitism on wikipedia) surely the point of mathematics is to be able to talk about structures without needing to construct them?
2024-06-03 18:59:24 +0200 <tomsmeding> in order to understand the structures abstractly so that you can formulate and prove theorems that hold for all constructible instances
2024-06-03 18:59:45 +0200 <tomsmeding> _all_ constructible instances, even if someone builds a larger computer at some point
2024-06-03 19:00:11 +0200 <tomsmeding> why do ultrafinitists consider mathematics useful at all
2024-06-03 19:02:15 +0200 <tomsmeding> the article gives an example that noone has calculated the natural number floor(exp(exp(exp(79)))), which is probably true, but surely we can compute digits of it
2024-06-03 19:02:46 +0200 <mauke> > floor(exp(exp(exp(79))))
2024-06-03 19:02:47 +0200 <lambdabot> 1797693134862315907729305190789024733617976978942306572734300811577326758055...
2024-06-03 19:02:50 +0200 <tomsmeding> it's a bit rash to consider a thing not a natural number despite being able to calculate digits of it!
2024-06-03 19:03:06 +0200 <mauke> why does math have to be useful?
2024-06-03 19:03:29 +0200 <tomsmeding> mauke: that's not the value of that expression ;)
2024-06-03 19:03:34 +0200 <tomsmeding> > exp(exp(79))
2024-06-03 19:03:35 +0200 <lambdabot> Infinity
2024-06-03 19:04:08 +0200 <tomsmeding> mauke: if math is completely useless, then surely we should stop doing it
2024-06-03 19:04:13 +0200 <mauke> why?
2024-06-03 19:04:24 +0200 <tomsmeding> okay fair point
2024-06-03 19:04:26 +0200Guest76(~Guest76@119.34.172.187) (Quit: Client closed)
2024-06-03 19:04:32 +0200 <mauke> some things are just for fun
2024-06-03 19:04:35 +0200 <tomsmeding> at least we should stop funding it as scientific research
2024-06-03 19:04:49 +0200 <geekosaur> define "useful". "because it's there" is "useful" enough for some
2024-06-03 19:04:52 +0200 <mauke> practical applications are for physicists
2024-06-03 19:04:56 +0200 <tomsmeding> I would be the last person to say that we shouldn't do useless fun things
2024-06-03 19:05:21 +0200 <tomsmeding> math has been useful in physics
2024-06-03 19:05:28 +0200 <tomsmeding> surely pi is useful! Have you ever written down pi?
2024-06-03 19:05:56 +0200 <EvanR> ultrafinitism is an interpretation of mathematics, not a formulation, then falls under philosophy not science xD
2024-06-03 19:06:23 +0200 <tomsmeding> not only am I apparently not an ultrafinitist, I furthermore don't understand why ultrafinitists think their philosophy is a useful one :p
2024-06-03 19:06:39 +0200 <monochrom> Yes, I have written down pi.
2024-06-03 19:06:40 +0200 <monochrom> pi
2024-06-03 19:06:46 +0200 <monochrom> There, I wrote it again. >:)
2024-06-03 19:06:59 +0200 <tomsmeding> I could decide that my philosophy is that natural numbers don't exist at all, but that's not a useful philosophy to live by
2024-06-03 19:07:04 +0200 <monochrom> I could write a longer form that uses integration if you want. :)
2024-06-03 19:07:09 +0200 <tomsmeding> monochrom: convince an ultrafinitist :p
2024-06-03 19:07:13 +0200 <mauke> "A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. [...] The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly
2024-06-03 19:07:19 +0200 <mauke> mathematics."
2024-06-03 19:07:20 +0200 <geekosaur> 1.0 (written in a system based on pi 😈 )
2024-06-03 19:07:30 +0200 <monochrom> I have only written a finite-length formula so it's ultrafinite.
2024-06-03 19:08:07 +0200erty(~user@user/aeroplane)
2024-06-03 19:08:22 +0200 <tomsmeding> monochrom: that contradicts this page https://en.wikipedia.org/wiki/Ultrafinitism which claims that apparently (?) ultrafinitists refrain from accepting the existence of large numbers such as floor(exp(exp(exp(79)))) -- despite this being a finite-length formulate for precisely that number!
2024-06-03 19:08:25 +0200 <monochrom> I wonder if some conspiracy theories can also be described as patterns made with ideas.
2024-06-03 19:08:39 +0200 <tomsmeding> *formula
2024-06-03 19:08:57 +0200 <EvanR> even though the subject matter is not even related, you get the same vibes from ultrafinitism as from flat earth
2024-06-03 19:09:27 +0200 <mauke> "I have never done anything 'useful'. [...] Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one chance of escaping a verdict of complete triviality, that I may be judged to have created something worth creating."
2024-06-03 19:09:40 +0200 <geekosaur> monochrom, mathematics at least strives for consistency, even if it can't achieve it (thanks, Gödel); most conspiracy theories don't
2024-06-03 19:09:44 +0200 <monochrom> Yeah I was role-playing misunderstanding ultrafinitism :)
2024-06-03 19:11:23 +0200Feuermagier(~Feuermagi@user/feuermagier) (Ping timeout: 264 seconds)
2024-06-03 19:12:32 +0200 <monochrom> Dijkstra had an accidental argument against ultrafinitism. He was just arguing for reasoning about programs, but the same argument applies to ultrafinitism.
2024-06-03 19:12:49 +0200Feuermagier(~Feuermagi@user/feuermagier)
2024-06-03 19:13:25 +0200 <monochrom> So suppose someone asks you to write code for, say, summing up a finite list of numbers.
2024-06-03 19:14:16 +0200 <monochrom> If you knew up front all the actual inputs from users, ever (and we know that's finite), then you just have to hardcode those cases and their answers. Nothing to prove correct.
2024-06-03 19:14:36 +0200 <monochrom> But of course you don't know upfront, so now you have to write general code and a general proof.
2024-06-03 19:15:02 +0200justsomeguy(~justsomeg@user/justsomeguy) (Quit: WeeChat 3.6)
2024-06-03 19:15:05 +0200 <mauke> it doesn't have to be fully general
2024-06-03 19:15:16 +0200 <monochrom> So ultrafinitism can be right but impractically, intractibly untenable.
2024-06-03 19:15:17 +0200 <mauke> e.g. I often limit myself to 64-bit integers
2024-06-03 19:15:53 +0200 <EvanR> what's the formula to sum a list of 64-bit integers (correctly)
2024-06-03 19:16:02 +0200 <monochrom> Even if you also know the length is less than 2^64, you don't actually code up 64^(2^64) cases, do you?
2024-06-03 19:16:30 +0200 <mauke> no, that would take me too long
2024-06-03 19:16:39 +0200 <mauke> I write a script that generates the cases
2024-06-03 19:16:45 +0200 <tomsmeding> I don't even agree with "Nothing to prove correct"
2024-06-03 19:16:49 +0200 <monochrom> hahaha
2024-06-03 19:17:14 +0200pavonia(~user@user/siracusa) (Quit: Bye!)
2024-06-03 19:17:53 +0200 <tomsmeding> if your code is "here's a list of 1000 cases and that's everything", even if that happens to actually _be_ everything, just giving that to me doesn't at all convince me that it's correct
2024-06-03 19:18:10 +0200 <tomsmeding> in fact, I'd consider it very likely that the function is wrong
2024-06-03 19:18:29 +0200 <tomsmeding> so you still have to prove correctness, you just made it more difficult for yourself
2024-06-03 19:18:38 +0200 <monochrom> Yeah, but you don't write an induction proof or loop invariant proof.
2024-06-03 19:19:02 +0200 <tomsmeding> well, how does the proof look then?
2024-06-03 19:19:04 +0200 <tomsmeding> 1000 cases?
2024-06-03 19:19:06 +0200 <tomsmeding> that doesn't help
2024-06-03 19:19:34 +0200 <monochrom> A lot of people actually fear induction and invariants. They actual would rather, OK, so far I've only heard they write out 50 cases.
2024-06-03 19:25:05 +0200halloy7049(~halloy704@broadband-5-228-80-43.ip.moscow.rt.ru)
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2024-06-03 19:30:32 +0200 <tomsmeding> (I started with writing "50", then thought "wait, there might actually be people who prefer that, let's increase it")
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2024-06-03 19:36:01 +0200 <monochrom> :)
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2024-06-03 21:26:23 +0200 <dolio> tomsmeding: Write down floor (exp (exp (exp 79))) in unary.
2024-06-03 21:28:10 +0200 <monochrom> :( :)
2024-06-03 21:28:32 +0200 <tomsmeding> that's a long string of units (?) :)
2024-06-03 21:28:41 +0200 <dolio> I the call above didn't actually write it correctly in binary, either.
2024-06-03 21:28:51 +0200 <dolio> I guess, even.
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2024-06-03 21:29:02 +0200Guest769`(~user@72.2.12.179)
2024-06-03 21:34:27 +0200 <dolio> The point is that numbers in bases other than unary are exponentially easier to write down, so you can't use that as an argument that the number isn't 'too big'. Or you have to exponentiate it again to get a number with too many digits.
2024-06-03 21:37:05 +0200hueso(~root@user/hueso)
2024-06-03 21:37:17 +0200Sciencentistguy(~sciencent@hacksoc/ordinary-member) (Quit: o/)
2024-06-03 21:38:50 +0200 <mauke> the nice thing about unary is that it makes it easier to use regexes on your numbers
2024-06-03 21:39:20 +0200 <cheater> [1]+
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2024-06-03 21:40:30 +0200 <mauke> I mean for things like primality checks
2024-06-03 21:40:37 +0200 <mauke> or identifying fibonacci sequences
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2024-06-03 21:44:23 +0200 <dolio> Like, 10^80 is pretty easy to write down. But it's approximately the number of protons in the entire observable universe. So having that amount of something is not very feasible.
2024-06-03 21:44:31 +0200Sciencentistguy(~sciencent@hacksoc/ordinary-member)
2024-06-03 21:45:34 +0200euleritian(~euleritia@dynamic-176-000-200-168.176.0.pool.telefonica.de) (Read error: Connection reset by peer)
2024-06-03 21:45:54 +0200euleritian(~euleritia@ip4d16fc38.dynamic.kabel-deutschland.de)
2024-06-03 21:50:37 +0200 <monochrom> There was a time someone at a formal methods summer school made a joke about "unary is algebraically better: addition is just concatenation". >:D
2024-06-03 21:51:41 +0200 <mauke> exactly!
2024-06-03 21:55:04 +0200philopsos1(~caecilius@user/philopsos)
2024-06-03 21:55:22 +0200Guest978`(~user@72.2.12.179) (ERC 5.5.0.29.1 (IRC client for GNU Emacs 29.3))
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2024-06-03 22:02:29 +0200rvalue(~rvalue@user/rvalue) (Read error: Connection reset by peer)
2024-06-03 22:03:00 +0200rvalue(~rvalue@user/rvalue)
2024-06-03 22:16:13 +0200 <enikar> well, how do you write down zero in unary?
2024-06-03 22:16:48 +0200 <tomsmeding> 
2024-06-03 22:17:00 +0200 <enikar> :)
2024-06-03 22:17:22 +0200 <darkling> So, more or less the same as one hand clapping.
2024-06-03 22:22:08 +0200wootehfoot(~wootehfoo@user/wootehfoot) (Read error: Connection reset by peer)
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2024-06-03 22:29:02 +0200FeuermagierGuest4537
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2024-06-03 22:29:03 +0200Guest4537(~Feuermagi@user/feuermagier) (Killed (molybdenum.libera.chat (Nickname regained by services)))
2024-06-03 22:29:03 +0200Feuermagier_Feuermagier
2024-06-03 22:29:53 +0200lxsameer(~lxsameer@Serene/lxsameer) (Ping timeout: 272 seconds)
2024-06-03 22:33:15 +0200rosco(~rosco@173.150.68.85.rev.sfr.net)
2024-06-03 22:33:38 +0200waleee(~waleee@h-176-10-144-38.NA.cust.bahnhof.se)
2024-06-03 22:35:14 +0200sawilagar(~sawilagar@user/sawilagar) (Quit: Leaving)
2024-06-03 22:38:51 +0200sawilagar(~sawilagar@user/sawilagar)
2024-06-03 22:41:30 +0200 <dolio> ncf: Turing machines are so unrealistic. How about infinitely precise analog computers?
2024-06-03 22:52:44 +0200 <cheater> dolio: you don't need them to be infinitely precise, you just need them to operate at 1 GeV
2024-06-03 22:53:04 +0200 <cheater> if there isn't anyone to observe the results, is there really a computational error to speak of?
2024-06-03 22:53:15 +0200CrunchyFlakes(~CrunchyFl@ip92348280.dynamic.kabel-deutschland.de) (Quit: ZNC 1.8.2 - https://znc.in)
2024-06-03 22:53:58 +0200CrunchyFlakes(~CrunchyFl@ip92348280.dynamic.kabel-deutschland.de)
2024-06-03 22:54:05 +0200 <dolio> Is 1GeV that big?
2024-06-03 22:54:45 +0200 <dolio> Don't existing particle colliders get that high?
2024-06-03 22:55:03 +0200xdminsy(~xdminsy@117.147.70.212) (Ping timeout: 255 seconds)
2024-06-03 22:55:18 +0200 <dolio> Yeah, LHC does TeV.
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2024-06-03 23:14:59 +0200tromp(~textual@92-110-219-57.cable.dynamic.v4.ziggo.nl)
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2024-06-03 23:41:37 +0200machinedgod(~machinedg@d173-183-246-216.abhsia.telus.net)
2024-06-03 23:43:37 +0200 <EvanR> the precision of analog anything is up to environmental noise, which is still there at absolute zero
2024-06-03 23:43:46 +0200__monty__(~toonn@user/toonn) (Quit: leaving)
2024-06-03 23:43:54 +0200 <EvanR> or very near absolute zero
2024-06-03 23:44:58 +0200 <EvanR> everything that ever happened in the past light cone of the device photobombing your experiment
2024-06-03 23:45:29 +0200philopsos1(~caecilius@user/philopsos) (Ping timeout: 252 seconds)
2024-06-03 23:48:53 +0200oo_miguel(~Thunderbi@78-11-181-16.static.ip.netia.com.pl) (Ping timeout: 240 seconds)
2024-06-03 23:50:50 +0200 <davean> I'm confused what he meant, I could see maybe something about its range?
2024-06-03 23:51:01 +0200 <davean> 1GeV is tiny.
2024-06-03 23:51:35 +0200k_hachig(~k_hachig@207.253.217.242) (Ping timeout: 272 seconds)
2024-06-03 23:58:08 +0200 <EvanR> one BILLION eV. *crowd laughs*