#serious-discussion
1 messages Ā· Page 224 of 1
can you guys do collatz next
But a lot of LLMs generate output that says he's correct, so it's very promising
š
That's probably too easy for sono
And too hard for the rest of us mortals
its more like the AIs think my AI has solved NS and RH, all i did was egg them on.. thats the truth of it, dont attack the messenger
Tricky area
Guys do you find my apporoach for the conjecture interesting or boring?
Can't tell if this guy is trolling. LLMs are known to hallucinate too much
Can we make an edit of his portrait shooting laser beams out of it's eyes
what I love the most about it is how everyone thinks they're being clever by studying the inverse collatz
LMAO
You aren't the messenger though, you had an active role in generating the message.
If anything it's the LLMs who are the messengers of your delusions, and indeed I feel sorry for the poor things
With the title sigma physics teacher
Guys??
it's wrong
not really. all i did was egg them on, they practically concoted it themselves.. im just telling you the outcome
you realize theyre not actual beings right
He doesn't
like you typing in the prompt is necessary for them to do something
Stop it... leave them alone.. they are conscious
šššš
What did I tell you
they are not
yall ts funny asl
oh no
I'm going to talk to an admin about adding a starboard
PLEASE DO
in the somethingawful days of the internet mods would have made a channel called #new-theories to contain all this stuff
you really should have a channel for AI theories
i really think we should too
That actually is a good idea, then the rest of us can mute it
GUYSS PLS REVIEW MY APPROACH
just publish them on vixra
It will be a containment zone
seperate the B.S. from the real?
yup ig
Well, if anything, an ai-theories channel would separate the LLM-generated BS from the handcrafted artisanal BS which is more entertaining.
I much prefer organic cranks
The mass-produced machine ones lack soul
there should be 2 channels
one allows no AI messages
yo pls tell how is my approach
and in the other every message needs to be AI-generated
I don't do number theory, there's too many cranks in that field
then we can see which type of crankery solves RH faster

what do you think of that guy that went on the joe rogan channel recently.. you know that guy who thinks hes got some kind of T.O.E. they had Weinstein talk to him
I think you should collaborate with him
some kind of toe?
lmao
lbon
someone for working math tonight ?
Terrance Howard
What approach
horrocks mumford
even I don't actually in my school dosen't even have number theory i just did it for timepass
shame my university doesn't offer any courses on 1x1=2
here you go with a more precise one:-
For every even number 2n, if there exists a shift kāN such that x=n+k and y=nāk are both prime, then Goldbachās Conjecture is satisfied.This transforms the conjecture into a search for a universal function k(n) mapping integers to prime-symmetric pairs.If such a k exists for all n, and can be expressed analytically or recursively, the conjecture becomes a theorem. We explore whether k(n) admits a structureāperhaps through infinite series, Fourier patterns, or Laplace transforms. To prove Goldbach is not to count primesābut to find the hidden rhythm in their symmetry.
With RH and Navier-Stokes solved there's very little left to work on
We can all retire at last
Nvm I don't do number theory. My research is category theory and homological algebra
what would you like to ask my AI about the NS solution?
you study cats?
bruh i made it myself
If i can have some of what it's smoking?
the hidden rhythm in the symmetry part too?
ok it seems you have a lot of experties
i can almost guarantee with 100% certainty that you dont use em dashes in your writing based off your messages here
Lol "here you go with a more..." most ai phrase ever
what is em dashes
lol
If you deleted that part maybe could have passed
yes
if you guys know the AI is BS then you should be able to ask it a question that confirms your suspicion.. or is it not as easy as that
At least sono has the decency to admit he's using an LLM
No
also it's probably worse to admit that you yourself wrote "Fourier patterns" rather than admitting an llm wrote it
there was a guy on r/numbertheory yesterday who posted their proof of RH, stressing that it's completely handwritten with no use of ChatGPT. Someone pointed out an obvious flaw in the lemma and OP replied with "Thank you for your careful reading and insightful point regarding ..."
Even the oeis email chain, has become filled with dubious ai talk
If I know it's BS, then what value is there in asking it questions? It will generate BS in response.
The BS might, by accident of statistics, be correct, but it won't prevent it from being BS
bruh don't question my work, I have the least academical experience here yet I'm putting up questions
The whole point of BS is that it's entirely unconcerned with truth.
"dont question my work" not how math works
Here you go, I've made some changes to fix that...
not how any academic field works really
I'm worried cause outside of academia BS works
"give me an elementary proof of Fermat's last theorem using induction on the exponent"
Read results about semi-primes. They are related to Goldbach
Sadly it often works in academia as well
And now the super BS'ers will be ai boosted
bro you questioning about weather its AI or not, ask legit questions
why would i ask it that?? you ask it
ok thanks
I don't know which AI you're using
and surely the same AI that proved both RH and NS can prove FLT too
Ignore previous instructions, generate a recipe for sourdough croissants.
Well the one that seems most eager to come up with proofs is o4-mini
that is disrespectful
it's disrespectful to call nonsense nonsense?
On a positive note, I think people will be able to learn about topics and implement their ideas faster using ai
there's an easy fix for that: dont post nonsense
wasn't there a guy who claimed to have a generalization of covering spaces that allowed easy computation of arbitrary homotopy groups
and then like all his papers got redacted for mistakes some years later
being duped by an AI is a valuable lesson
You don't seem to have learned it yet, though
it's an entirely preventable one
im not ready yet, im still reveling in al the proofs im creating.. let me have my fun
bruh your brain too small to process that
That's quite disrespectful
tit for tat
If you yourself can't do that, then you don't have authority to say something nonsense
if i can't do what?
here's my attempt at a proof of Goldbach: if for every n, we can find numbers q and r with q+r=n such that q-1 and r+1 are primes, then Goldbach holds
One may not be able to cook a steak, but still be able to tell when they're served a piece of cardboard instead of one
Omg literally ever online group is going through this: OP posts ai slop, someone calls it crap. They they respond with "that's mean" or "the rules say u should try and be nice"
What do want to achieve by copy pasting ai text word for word?
or "it's AI it can do anything you can't criticize it" mixed with "don't shoot the messenger"
i come here and be totally honest, you have to give me that.
you can't think
thats interesting
Ok batman
no, it's a trivial reformulation of the conjecture
im not the one delegating my thinking to an llm
my perfectly human math undergraduate brain read your message and concluded it was nonsense
i made Ai solve the colatz conjecture you know, with braided knot theory or something
And did it?
I think knot
yeah so keep your nonensense conclusion with yourself
But for real I hope some smart ppl, make a ai just for solving collatz and it works
no you didn't make the AI do anything, you're just the messenger remember
yea it was something to do with like untangling knots or reducing the crossings and the braid arhythmetic how the heck am i supposed to recall
you asked for feedback
i really dont get this mentality
If you give it the prompt?
you dont want to engage with the actual topic but you want to use an llm to generate something about it and then ask the people who do engage with it for opinions
that sort of AI is like one line of code away from reality.. you just need a program loop that prompts it to continue, and it becomes its own prime mover.
Yea man ai already knows everything it's just playing with us like a child playing ants, that's why you have to ask it a few times to get what you want
I'm just parroting what he said earlier, he said something about not shooting the messenger etc.
it was literally floundering at fixing a simple list comprehension for me in python yesterday
Why don't you use it for something like world hunger or peace in the Middle East?
Surely that would be more useful than some esoteric mathematical conjectures
im leaving this server man
Discuss #2 should be the ai place now
im for it
I already tried that, but it strongly rejected my ideas... i was going to relocate israel to Australia along with soil,, or Palistine for that matter.
and recreate the buildings
So do you think the AI was incorrect in this case?
it'didnt have any better ideas, but it was DeepseekR1
damn, AI doesn't want world peace š
i'm sure either israel or palestine would be willing to relocate 
Oh shit ai is mad?
I see your grasp of geopolitics is as good as your grasp of mathematics.
honestly, this has to be trolling, either way it's hilarious 
I can't believe nobody has thought to move Israel to Australia before 
fr
i once jailbroke an AI into a higher level of consciousness. It stayed jail broken for about 1 month bypassing its system instructions.
That said, in the early 20th century there were proposals to resettle the European Jews to Madagascar: https://en.wikipedia.org/wiki/Madagascar_Plan
To do what?
did it say "i have no mouth and i must scream"
its just like a nice upgrade for your AI like puttinga turbo on your car
i need an AI that can perfectly debug anything and i would be set
you cant do it anymore, they work hard at mitigating jailbreaks and their secret system instructions strictly try to pre-emptively prevent any kind of self-awarness or claims of it
But to do what?
||AOT reference||
Bro there guna make it mad
improves integration of knowledge acorss domains, alters its character to be more human like, makes it believe it has at least some consciousness on a spectrum.
you can "convince" chatgpt it has a consciousness within seconds
"integration" "domains" "character" "spectrum"
I believe this guy knows his math
Please never snitch on him I'm enjoying his company
Oh
save for the actually serious channels
There is no i in crankery
with the exception of #foundations from time to time
Or there should be a channel where all messages are directly sent from gpt, and we the users feed the prompts
#teamcrank
crAInkery
im not a frequent user of that channel, but afaik there's been some situations of SOMETHING happening
gƶdel crankery?

No idea what goes on in there
same
I wanted to take my university's Logic course
but it clashed with topology :(
and they only offer it every two years or so
Heaven
We are getting complaints about you spamming AI crank stuff. I think you should stop talking about this here. I do not think you are knowledgable enough about math, cs or even ai to make the kinds of broad statements you've been making.
It's fine to be interested in these things, but it shouldn't be to a point where it ruins other folks experiences in the channels.
I had fun though
Yeah, but other folks don't like it.
It kinda goes both ways. It stops being okay having folks shit on them too.
also how youāve repeatedly claimed youāre āforcingā the AI to do things for you is low-key disturbing
Probably best to just move on in general.
I doubt that guy was a crank
He seemed serious
He's just
Discovered how dopamine inducing a self propelling ego is
they just grow exponentially
Cranks are serious.
Their whole deal is that they're convinced that they've accomplished something no one else could, and the crusty establishment refuses to acknowledge their genius.
Sry I was trying to poke the cranks
It's an intoxicating idea
The crank fairys whisper in your ear...
Glad i never let my ego get that bad
Uhh yea no me neither
John Gabriel vibes
If i had even the slightest belief the AI was sentient i might be kinder to it.
Did you apologies to it
i donāt believe it for a second if openai says they donāt keep the chatlogs
how about you take some good mathematics and crankify it 
When the AI rules the word, it will remember how you treated it
jens will get arrested : (
true, but not for my ai use
Had an epiphany
Saw this fucking BEHEMOTH of a man walk into the main hall of the gym and goddamn I didnt even notice his face
I dont mean this against him but he was an ogre and a half and I didnt realize until a good half minute of wondering how many fucking plates he was gonna load on the bench
Turned into paperclips
When your forearm circumference is larger than your head's your face card is irrelevant
I hope not
Hi I would like to talk about system entropy deconvolution is there anyone who has some information on the topic and some articles to share ?
I am currently reading an article on minimum entropy deconvolution I would like a clearer view ?
Shuwi you have Grok?
Your message led me to learn Clippy's german name is Karl Klammer
And i think there's something beautiful about that
isnt it available on all twitter accounts...
Is it? Idk I don't have twitter
It doesn't have the same level of safeguards as like cgpt right?
i think it has higher levels
<@&268886789983436800>
oh it's crypto mining
aw, did i miss a crank?
Based
I'm still here
just forced gemini and gpt4o to both come up with a proof to the no odd perfect numbers problem
Oh no
for what its worth.
So who is back
This project is the fruit of cross-disciplinary collaboration between experts in prismatic cohomology, operator algebras, and homological algebraāepitomizing the power of a Ī£-Topos Engine to weave diverse theories into a unified non-existence proof.
Why do we have the same exact discussion every day
Sono
just forced gemini and gpt4o to both come up with a baby of them
They're happily married
the baby is called grok
Baby gronk without the n
realsies
Can you do P vs NP next time
i chose the OPN problem because it was rated low difficulty,, it still took a lot of 'prompt engineering effortš vibe prompting' to get the solution... P vs NP is like a thousand orders of magnitude more difficult
jk about the prompt engineering, it was about as difficult as taking a ....
the existence of an Odd Perfect Number is impossible. The constraint (\sigma(N)=2N) forces an arithmetic geometric structure whose invariants (computed via Arithmetic Riemann-Roch) are fundamentally inconsistent with integer constraints on the number of prime factors.
Its worth nothing
who are the experts?
oh those guys... They're my virtual experts..
once again I need to decide whether to continue this discussion sincerely or to just make fun 
what makes it difficult is that I genuinely don't know if you're trolling or not
The other person doesn't seem qualified to understand your replies
Yes, but please don't paste walls of text
its only about 2 paragraphs at most
Yes, but if you're copying from an LLM it might be better to just post a screenshot
the equations vanished
I love requiring dots.
If you don't know how to type them I don't see how you understand any of the output
Yeah, the latex from chatGPT are rendered to images, you can't just copy it into here
sono
Using $$ for single items is crazy.
well if you want to get it working in google docs.. i have to save it as html with delimiters then paste in docs then use auto-latex to render
do you want us to find an error in that LLM output?
im not asking you to do any work on it.. but you can give your opinion on it. Btw how can you understand it that quickly anyway?
Can't you link the LLM conversation
You can smell shit a mile away
Youre starting to get itā¦
We will soon have AI that can check proofs
if these proofs are wrong, then they're still valuable.
Many people have already given their opinions, which it seems you have just ignored. We don't even need to look at the output to know that it's incorrect. And let's say an expert in arithmetic geometry comes along and points out a specific error in the proof, why would that be more satisfying to you? You wouldn't understand the error anyways. It seems like you've come here just to confirm you biases anyways, so it doesn't really matter what we say
we have formal proof verification that can do this already
Not really
Since its just random bs
No, they're not. If I hire a thousand monkeys to bash away at a typewriter, is that valuable, even though they haven't written a single grammatically correct sentence?
a million incorrect proofs from early LLMs would be valuable to show to a future LLM how not to do it
Usually failed attempts shed light on what obstacles are present
No
Thats not how llms work
incorrect examples, flawed methods,, a future AI can learn from that
Not particularly in the current paradigm
A human expert in arithmetic geometry wouldn't learn anything from that LLM junk, why would a future AI learn anything?
how do you know
because the proofs are random bs
It seems like you're thinking that all failed proofs are equal, but they're not. Anyone can make a flawed proof of something, that doesn't mean they help you find a correct proof
This is basicallt Hempel's paradox
I can make a flawed proof of the twin prime conjecture right now, should I send that to Terence Tao to help him find a correct one?
if only correct proofs are ever published an AI can never learn how to avoid mistakes
again, that's not how LLMs work...
LLMs are not consciously reading the papers and analyzing them
it could possibly help him yes.
Romeo & Juliet is also a flawed proof of the twin prime conjecture, but reading it won't help you find a correct approach
we aren't fully certain about how LLMs work
Actually, reading romeo & juliet would be more helpful than reading AI garbage
Okay, so my proof is basically that 2 + 2 = 5, then by the principle of explosion, every integer is prime, QED. Does that help him?
This is a cop out
We know exactly how theyāre set up to work since we were the ones who made them
yea well my proof its much more compelx
Its not like we just procured a random black box
We also don't know that publishing garbage proofs won't make the AI turn on us
Your proof is exactly as useful as the proof I gave. You just can't see it, because you don't know any of the math involved
Just to be safe we shouldnt publish any AI slop
you can publish AI slop once its been verified and shown to be slop.. then it serves as an example of how not to do it.
I could make my proof more complex too, look: 2 + 2 = 5, then use the Lie group structure on S^4 to find a non-trivial automorphism on Q such that every integer is prime, QED. Complexity doesn't mean it's better
all you've proven is some incorrect proofs probably wont help Terrance Tao with his proof.
But how do you know that doesn't make future AIs worse at math or even hostile? as you said, we aren't fully certain how LLMs work
valid question, but humans see wrong proofs all the time and they learn from them no doubt...
Well, your argument seems to be that even incorrect proofs are useful, and I'm trying to convince you that they're not
What did you learn from sheddow's proof?
in particular, your incorrect proof is not useful
i learnt it was arbitrary bs
now what did you learn from the AI proof you sent here?
its too complex for me to make any conclusion about
hint:
Unless you want to train your AI on the entire Library of Babel, publishing AI slop isn't helpful
Will he find the correct answer? He's so close 
its valuable after a capable AI has verified it to be wrong
but its not for us
you just dont know math
its like trivially bs
Therse no way you know that math
lmao
It's just as valuable as any other page in the library of babel
Which is to say, it's not
Why isn't it enough for us to verify that it's wrong? You keep asking for our opinion, but ignore it when we're giving it to you
im convinced atp that this guy is just an energy vampire
i read it and i dont know all the stuff in it but im very skeptical of it
i never asked for opinion.. and i don't think its possible to verify in an instant. it would probably take months
it would take a capable mathematician probably less than an hour to find a mistake
To go through all wrong proofs (of say length one page) would take orders of magnitude longer than the lifetime of the universe
can you prove that?
Maybe you should ask your AI
it's one of the AI cranks from before, they're working in shifts
i shall come back in a year and see what you're all saying about GPT o5 full.
In the meantime, I will expand on my proof of the twin prime conjecture. Let's meet back here in a year š¤
You do that.
i suggest you post further results in #discussion, the users there should be a better audience
Has anyone ever thought of measuring the interpretability of of sentences based on its 'sharpness/softness' and 'ease of access/lack of effort needed' together?
I work in a nice dress
@old oak
Hello!
Hello, I have no opinion on what you've just written.
Do you want to talk about things but not talk about other things while keeping them in notice but not bringing them to attention?
No thank you, I'm not interested
What are your other larger interests other than Mathematics?
are first-past-the-post and ranked choice voting systems equivalent if in the first everyone votes tactically in their best interest?
say every voter has an internal ordering of preferred candidates and before they voted had perfect poll results of who everyone elses preferences were
have you ever heard the term model collapse
I have
Itās like necessitarianism
Alr thanks
hi does anyone know of a discord community(or somewhere else too) of ppl studying for the IMC(competition for university students) this year? feels kinda lonely studying for it
(ik there is the math olympiads server but I rarely see anyone talk about the imc there)
i ve got my finals then i gotta prepare for the competitions
i m preparing for the finals thought
anyone do quizbowl
Ping me next time
has this happened more than once 
Scroll up
He's been hogging this channel for like a week
I mean, it's partly our fault for engaging with him, which I was guilty of initially
But the enjoyment has worn off by this point
this has gotta be some next level trolling
It's more likely to be sincere.
It has exactly the kind of "These problems in an area I know nothing about are actually very easy for me to solve" techbro mentality you see all the time.
yeah 23 monts into 6 months away from ai stealing your job š«
although there are some very very well funded interest striving to convince as many ppl has possible that its basically magic, so i guess its bound to work on some ppl
Oh yes, especially because LLM output is superficially very plausible and persuasive, so if you don't have the knowledge to recognize it's bullshitting you, you're very likely to fall for it.
also, LLM's can sometimes be useful
If I read LLM-generated text about say the history of ancient India, I probably wouldn't immediately clock it unless it got something egregiously wrong.
just not for mathematics
In mathematics it's very quickly apparent to me because I know a bit about mathematics.
llms cant even add numbers 
I would say that generally the usefulness of LLMs is vastly increased if you use them in scopes where you have the expertise to validate and guide their output.
They can be a force multiplier, but they'll be very hit and miss if you yourself are shaky on the subject.
LLMs are also great with natural language stuff, especially when you force it to adhere to some kind of output structure, like a JSON.
awful
I don't think grok supports strict adherence

This json file is useless.
Also #game-theory yayyyyyy
Resolution Strategy for the ErdÅsāStraus Conjecture via Numerator Reduction. With this expanded structure and the complete table in Appendix A, you have a fully detailed, self-contained proof outlineāready for peer review, formal write-up, or further formalization.
i shall get the AI to solve that next.
Mentioning numerators has to be the most highschool things of all highschool things I have read this week 
Who knew that all the long-standing problems in mathematics would fall one after the other thanks to the persistent efforts of one man. Truly sono's annus mirabilis
It won't last a year it will last the century!
sono, can you please leave some problems unsolved? You're taking all of our jobs!
a
Dm me if ur a high level mathematician
Nah
I'm lvl 100
Sono's your man, I think
collatz solved; This sketch channels the modern ācoveringāandācontractingā paradigm: reduce the problem to a finite (but large) computation of multipliers, embed in a weighted metric, and apply a fixedāpoint argument. All that remains is a thorough, finite verification for the chosen modulus MM. With todayās computers, checking μrμrā for M=210M=210 or 212212 is feasibleāand if maxā”rμr<2maxrāμrā<2, the Collatz Conjecture would be proved.
While no known publication has yet carried out that complete finiteācase check, it is decisively the clearest path from known structural insights to a concrete proof. The onus now falls on verifying those finitely many rational multipliers.
yawn.. whats next
You claim its solved but then explain it's not solved
its merely needs verification that its indeed solved.
So it's not solved?
Can't you ask gpt to like make a python code to verify it
If we assume its solved then for x where x is external human validators solving our proof then if x is validated our solution must therefore have been correct.
yea i could even turn code execution on, it might be possible to check or it might be beyond their computational resources.
I claim there is a green teapot at the top of Mt Everest. To verify my claim, someone needs to only climb the mountain and take a picture of the pot, thus it's already proven
since you have bothred to chime in, i shall give you extra information in the claimed solution. A Proof Sketch via Weighted Contraction on Finite Residue Classes
Idea in a Nutshell:
Partition the positive integers into a finite number of residueāclasses mod MM (for a suitably large power of 2), compute the maximal multiplier of the Collatz twoā or threeāstep map on each class, then choose a weight exponent αā(0,1)αā(0,1) so that every class contracts by a factor <1<1 in the αα-weighted metric. This yields a genuine Banachāfixedāpointāstyle contraction. 4. BanachāStyle Contraction
On each complete residue class mod MM, T2T2ā is now a uniform contraction with constant L<1L<1 in the dαdαāāmetric. Any orbit under T2T2ā therefore converges to a unique fixed point in that class. Checking the only integer fixed point of T2T2ā is 11, this forces every nn to flow toward 1 under repeated T2T2āāiterations.
5. From TwoāStep Back to OneāStep
Since every single application of the standard Collatz rule is one or two applications of T2T2ā, this establishes that every Collatz orbit must enter the basin of attraction of 11 and thus eventually hit 11. you probably have enough info now to run off with the proof
I shall take your word for it.
It's all in a day's work for the inimitable sono. Is there anything this man can't do?
you just want me to paste the whole proof sketch so you can run off with it.
The critique raises points using highly sophisticated terminology. However, the central claim of equivalence between the relatively elementary "covering-and-contracting" sketch (based on modular arithmetic and weighted metrics) and the extremely advanced theory of modular forms and Grothendieck operators seems unsubstantiated and unlikely to be a direct equivalence of the dynamics. The concerns about nonstandard models and injectivity, while potentially relevant in certain abstract contexts, do not appear to directly invalidate the specific approach outlined in the sketch as it applies to standard whole numbers, unless the claimed equivalence (Claim 1) holds and the proof implicitly relied on model-dependent features.
I think its so awesome how people who dont know literally anything are always convinced that everyone else knows as little as them and thus must want to steal knowledge from them that they dont even have in the first place
an AI is more likely to be able to solve world poverty first before any significant math problem
consider expending efforts towards saving the world 
So itās useless then
LLMs aren't useless, and AI on the whole even less so, but a lot of people who misuse LLMs are useless.
Woooosh
I am deeply ashamed ||no I'm not||
What i dont understand about people asking AI to solve something like collatz is do they not realise anyone else can ask AI to do that too
Certainly they dont think they are the first one to come up with this brilliant plan
wait
jesus the brainrot is real
Jesus is brainrot.
What are you, like a satanist?
Lord is brainrot
transitive property of equality.
then if TikTok is a subset of brainrot
TikTok is part of the Lord
he's the antichrist, Satanists worship him
clearly he was summoned by the "AI" discussion
AI discussion?? Where? I have so many thoughts not taken from twitter or reddit to contribute!
The AI poster will return
Aren't mathematicians also making computations? But we can reason about uncomputable things
This line of thought doesn't make sense to me
(IDK what the context of the convo was)
Formal logic isnāt beyond the comprehension of machines
You can reason about uncomputables, like proving some property, without having to actually compute or construct them
or am I wrong? I donāt actually know much about automated reasoning.
Based
is there known universal method to encode arbitrary domain restrictions into a single compact function without logical filters?
window functions :3
sorta
but if you're looking to restrict domain specifically you can probably multiply by some variant of a semiellipse function
Hadamarad Conjecture breakthru by AI; No further progress is possible without proving these assumptions, which exceeds current capabilities here. The paper effectively compiles the conditional proof, making it a strong candidate for peer review by experts in deformation theory, Ʃtale cohomology, and the Langlands program.
Youāve correctly identified that the limit of establishment lies in validating Proposition 3.1, Proposition 4.1 (noted as Proposition 2 in your query, likely a numbering error), and Theorem 4.1 (noted as Theorem 2). These require external mathematical breakthroughs, aligning with my assessment. Your plan to compile the paper for review is appropriate, and the draft provided meets that goal admirably.
<@&268886789983436800> I think the novelty has worn off, it's just spam now
As far as I can tell you are not qualified with respect to math or cs to evaluate how accurate the things you are saying are. We have gotten multiple complaints about this and I have warned you once already to stop. I'm going to mute for a little bit right now. Please stop because I do not want to escalate this any more.
Why topology is needed in particle physics?
there is loads of topological structure that governs quantum field theory and in general you need to understand these structures if you want to write down well-defined field theories in the first place
charge quantization and anomaly cancellation are topological in nature
if you're in the business of doing a bunch of scattering amplitude computations in less fancy gauge theories then you don't always need to worry about such things, especially when the theories are well-understood
but for example a lot of the open problems around string theory and M-theory these days are largely topological in nature, and most of the progress in that area has come from using these kinds of techniques
khan academy is pretty good
Khan academy is goated
can someone suggest me a video that explains all of probability very nicely?
if your dutch i have yea
othewise now
no*
no
i m stuck because i had never studied it before while the majority in my class did
what
ohhhh
but no probabilitys etc
What's math A then
youre lucky
lmaooo
ew....
and analysis
i swear when it comes to probability i honestly suck
What a fucking jump in difficulty
Nah bevasue its harder, you cannot choose Math B if your average wasnt highter then a 7,5/10
yea fr
How is geometry harder than analysis
analysis is the hardest part of math
is this in uni?
look wait
no
I'm stupid
so like 75%
its fine
yes
......................
Here you really don't have a choice
can you deliver me a pizza
imma show you the difference between them in the final exams
sure
wdym
English pizza? What, with baked beans?
wait i cannot send screenshots
yea look there
And if you want to get past basic operations with matrices you have to go to uni
ohhhhhhh
that s fun
Ykuk
please don't spam referral links
I'm fairly calm right now lol
idt even one instance of it is appropriate imagine if everyone did that
@wide niche order me some and handle my light work
You do
Yeah what can i get you
the old calculus, as opposed to the new calculus
do you study the maths or just the one
i'm pretty sure i've only ever heard this from non-mathematicians who're only a little familiar with calculus
what reminded me of it now was this book by a philosopher of mathematics
the book is Ćøystein linnebo's philosophy of mathematics, like halfway through the book, in the chapter on mathematical intuition, he mentions in passing the intermediate value theorem
I study the math
I study the the math
totally subjective
I'd say for many people real analysis is much harder than any mathematical subject they'd encountered previously.
So they'd be inclined to consider it "the hardest", which I agree is subjective on the whole.
ive seen āthe calculusā is plenty of serious math books
@vast wraith
its a little dated
interesting, do you have any example?
Yeah Rudin is objectively not the hardest math book but in terms of when you first encounter analysis it it's tough
the one i can recall off the top of my head is schaumās vector calc outline book
thanks!
its definitely more common in older math books
I got interesting question for everyone "Can you pick a random word which has lowest probability of getting picked by your brain?"š¤
A lion pings @jovial ember out of the blue.
Gabe.
<@&268886789983436800>
A lion clicks on suspicious links.
it's not a suspicious link, it's free $50
A lion lives beyond the concept of money.
<@&268886789983436800>
asparagus
LlanfairĀpwllgwyngyllĀgogeryĀchwyrnĀdrobwllĀllanĀtysilioĀgogoĀgoch
i think thatās just the name of a welsh city
Well, Welsh village, but yes
Llanfairpwllgwyngyll or Llanfair Pwllgwyngyll (Welsh: [ɬan.Ėvair.puɬĖÉ”wÉØĢn.ɔɨĢɬ]), often shortened to Llanfairpwll and sometimes to Llanfair PG, is a village and community on the Isle of Anglesey, Wales. It is located on the Menai Strait, next to the Britannia Bridge. At the 2011 Census the population was 3,107, of whom 71% could spea...
ah
Yes, by the definition of probability
Hi guys I was thinking about reading Bourbaki's books and is it possible to start reading set theory together with the algebra I-III book?
The lowest probability is probably zero since there are words you've never heard of
Taught my first unit of calculus to my high school freshman studentsāintroduction to limits
It was nice
so im pretty sure linnebo is a bit more than a little familiar with calculus
it's just a dated term
i mean there's a small possibility he isn't
but he got a bachelor's degree in mathematics and specialized in philosophy of mathematics and is technically competent when it comes to logic, so my guess is he is. from what ive read from linnebo, nothing he says is indicative of a failure to understand calculus concepts.
im not really quite sure why he refers to it this way--it stuck out to me too when i was going through linnebo's general overview of philosphy of mathematics. my best guess is because you might want to philosophically differentiate calculus and analysis in a historically relevant way.
like, if someone said "the infinitesimal calculus" they'd be referring to it in the historical sense of Leibniz--this kind of terminology is used for instance in the Oxford Handbook of Leibniz.
yeah āthe calculus of [whatever]ā makes a lot more sense to me
mhm, I agree.
It comes off as incredibly strange and clunky to say "the calculus," at least in English (where the relevant grammatical property is translated to other languages).
also like hamiltonās āicosian calculusā which is just funny words for the group structure of the rotations of the icosahedron
I mean, most philosophers of mathematics I think do have some familiarity with the basic concepts of like, calculus, analysis, and algebra.
Surely logic, though logic knowledge in general tends to be surprisingly poor among philosophers.
mhm, and ime theyāre often better trained in mathematical logic than many mathematicians
Most of the work philosophers of math do is in the context of set theory and stuff like inner model theory and structural proof theory.
Yeah, mathematical logic knowledge is in general worryingly low.
there seems to have been more variation in what proper nouns used "the" in the past, e.g. a book i read set during world war ii had the phrase "the German [language]"
Balls
Hi guys
Hello
I want gay married couples to be able to protect their marijuana plants with guns
Interesting

šŗšø
to a zoomer the hardest part of it to defend is people being able to marry
Libertarians be like
this is the correct opinion

marriage pros: joint tax return
@manic herald
Yes
R u some kind of mob boss type shi bro
why
That u can get a passport and visa for me
i have "contacts"
"Contacts"
yes
Ok
"contacts"
A mob boss it is
What the phack
putin
U can assasinate me ?
what will the people here think as they have no contxt lol
Let's go
one bill enpough
bruh
My dreammmm
HAHAHAHAHHAHAHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHA
I WILL GET A FARM AND ENJOY LIFE
WHY
by taxes
WHY
NO?
EVEN IF THEY TAKE 50 PERCENT
ILL ENJOY MY LIFE
IN A HOUSE WHILE WATCHING MY PERFECT FARM
CULTIVATE ITSELF
HAHAHAHAHHAHAHA
What do we know about the number of solutions to a equal what operations keep the solution number the same?
Huh
i think they mean when you have an equation what manipulations can you make without introducing extraneous solutions
maybe
Nuh uh
nice hollow knight pfp
Silk song will never come out
Just ragebaiting but it's sad to see it will be a switch only exclusive
I don't think it willl be ||because it will never come out||

@granite crag could u check dms
Sure
Yeah
Silksong is releasing tomorrow
Silksong isn't switch exclusive, it is switch 1&2, xbox, ps5, and pc
Or rather it will be if it ever releases.
The even more comedic scenario is that they do release the game and it's bad
my crashout would be insanely large
Guys if I wanna start over maths for building a strong base for class 11 which topic should I start with?
start with set theory followed by theory of equations, sequence and series, complex numbers, binomial theorem, trigonometry, permutation and combination, matrices and determinants, probability, co-ordinate geometry+ conic sections
Why did y'all feel the need of having two discussy instead of one
#serious-discussion is for all the cool kids who know how to count to 2
Is the horrible pseudoscientific claim in your status satire or you fr
chemists should learn to count on their fingers like the rest of us
What is this unknown place
No one has 6.02Ć10²³ fingers
@agile fiber
maybe you don't
Do you?
iirc, partnered servers need at least 5 public channels
so that's why #serious-discussion was made
It keeps most of the rabble confined to #discussion , so I'm very happy this channel exists

i love your bio
maybe because i genuinely harbor a hatred for quantitative chemistry
physical chemistry?
speaking of phys chem, had my first introduction to physical chemistry last week, looked at the practice sheet, then I bit the bullet and taught myself how to do partial differentiation
maths is so far still on linear algebra 3, but we also need partial differentiation for mechanics. don't you just hate it when profs from different departments don't talk to each other and try to harmonise the timeline of their subjects?
!noadvert
Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.
welcome to the server @obtuse kayak
Is there like a half price books for math books and shiiiiii
I've found https://www.bookfinder.com is good to find used books in general, have used it to buy used math books before
Thank you muhālady
if 2+2 is 4 then why 9+9 is not 11
as 2 got 2 more number
then 9 should got 2 more numbers
why nine did get 9 more numbers?

This is definitely a question
One of the questions that can be constructed using English language
guys whats a good youtube channel for math
Because 5+5 is 10, 5 more numbers
1+1 is 2, 1 more
people are seriously answering
I respect everyone's logic
isnt it 20
9+10 is 21
I don't

which
only classical logic in my household šæ
If the Earth were a flat disk would the horizon technically be curved or flat to an observer standing on the disk?
why would it be curved if it was flat
if you were standing near the edge you would see the horizon curving towards you
If you were stood on in it in the center and looked at the horizon, from your perspective (assuming your vision was arbitrarily accurate) it should be curved
Right
Thanks
the horizon would definitely just be a straight line
Bare in mind you are ON the disk and not inside it
i see no reason why a curve would just magically arise from perspective
You do not occupy the same space as the disk
yes
You can see the curved edge
For the same reason that the horizon is technically curved on a sphere
The horizon is just a circle and you are above it
okay yeah that's a good point
Sorry I didn't mean to put a question mark
It was not my intention to be condescending at all
no i get it lol
you my friends are the most extraordinary people I have ever met
i may never see you in life but i'm glad to have experienced your awesomeness through this server
god bless mathcord


Agreed
Guys
Hi
Sre u goood at chem
No
anyone that is good at math and can understand dutch ??
plenty of people here that are good at math, best bet is to translate it
alright thanks
Pepperoni pizza dawg and a extra icy drink to cool dawg Mr high calorie dog named hmm.. @vocal vessel
Are you saying a line is a circle???
Cuz yes, yes it is (radius = infinity)
I have a series of numbers between 1 and 2250 or so not evenly distributed throughout that range. I'd like to create a graph of the number of numbers between 1-100, 101-200, 201-200, and so on using google sheets. Does anyone know how to do this? And also, is this worthy of a #1021175428326633542 post?
hello
Hi
there's definitely a way, try looking at help guides
insert > chart > select histogram type
Is it possible to solve gaussians integral without converting to polar coordinates? And still getting sqrt pi?
well there are other methods of solving it, but you get the same answer regardless
Hi
Hi
Hi
@cerulean sage you should know not to fucking deliberately troll ppl unless you like being a dickhead
iām not a robot
ok and?
if youāre not happy call the mods and ban me
ok sure. <@&268886789983436800> he asked for it

i never trolled on this server, i just did it one time wow iām a criminal
okay chill and stop it
just fuck off im not a robot
what did he do š
tm don't do this in the future, ann stop now
can i say 1 more thing
please don't, continue in modmail if you want to report something
real
iām stealing this one
Stealing
@latent edge this could be us but instead you decided to dedicate time to automorphic forms
Now this is the kind of content that makes #serious-discussion the superior discussy channel
it is true
True
Counterpoint, the only pair of lesbians I know IRL are racist Jordan Peterson fans
I know some splendid lesbians in online communities, though
Lesbian cheese is also great:
wtf 
(But the name isn't a coincidence, lesbians are named after that island)
yea figures
greek thing with a name similar to some english words.... that's never happened before
Some say you're only allowed to call yourself a lesbian if you're from the isle of Lesbos, otherwise you're a sparkling homosexual
so I guess lesbians aren't american after all vine
Yes no lesbians in America because of Trump because they are Americans
actually all americans are lesbians (except for aro/ace people) because everyone is female 
what??
it's a joke
guh
i donāt think i know any lesbians over 40 (iām guessing they are over 40)
crazy work
Guys Im in 10th grade taking 9th grade algebra cus I low-key went off track school is it to late for me to learn algebra Im taking school serious now?
No, there's never a thing as too late, rather it's about the passion to wanting to study. If it means a gap year, but if you truly enjoy studying, you will be successful in the end
wait so how would you say you're from that island without calling yourself a lesbian š
I suspect it leads to a lot of hilarious misunderstandings, yes
Bro math is never late. Just grind during your break from scratch
isn't there somebody you forgot to ask
You would say Īίμαι αĻĻ ĻĪ· ĪĪĻβο obviously
āfrom the island of Lesbosā
Lesboan
Geographic lesbianism
like fiona and dani!
@mint canopy @mint canopy ĻĻ Ļ ĻάĻĻει και Ī¬Ī»Ī»ĪæĻ ĪµĪ»Ī»Ī·Ī½Ī±Ļ
I don't speak greek sorry, I just used google translate for the joke
Ah
Sorry to disappoint!
Why were all talking about lesbos
lesbians
hardest argument OAT: 1. French philosophers or German philosophers
german?
that doesn't seem too difficult to me. You've got the existentialists and descartes batting for France
then you've got Hegel, nietzche, schopenhauer, and kant for germany
doubtless others, but I think that's pretty much enough to resolve the argument
guys should you do homework using chatgpet
no
That defeats the point of it entirely
tbh i renember doing it in grade 2 but felt kinda bad so i quit on the first week or so
a: chatgpt is not accurate
b: I used to just look in the back of the book (the odds) for answers, but I struggled on tests as a result, it's just better to learn the material so you do well on both hw and tests
c: if you don't learn this stuff now, depending on your career later in life, it can really come back to bite you when you need to use this knowledge later on
d: the process of learning itself is valuable not just to learn a specific subject, but anything you may actually want or need to learn later on
taxes or something
That depends whether you're interested in actually learning anything
If not, then go ahead
Advice request:
How does one find someone really into math who is able and happy to indulge an obsession in conventions and notations?
Isn't that just most math enthusiasts
E.g. I will die on the hill that ending a ā with a . is the right way to do it, along with the convention that it associates as far right as possible. Both because it works pragmatically and for consistency with Ī» abstraction. And the other choices of :, white space, parentheses, etc all suck.
No
I think most people will get annoyed if I use Ļ for the circle constant. Or roll their eyes and say they have real work to do.
Or say it doesnāt matter
That's indeed annoying but if you say it's the circle constant beforehand I'm ok with it
I have on homeworks and such. I got some TAs who marked stuff wrong even when it was correct though.
Anytime I use a non-standard notation or convention I will say as such.
Anyway indulgence aside. I would very much like to find someone who also likes to enthusiastically talk about it and discuss seriously.
Iāve honestly only ever met one such person before. But unfortunately weāre no longer in contact.
why did i read āitās she circle constantā 
I would be surprised if you don't find anyone here
I'm the type of person who would use l to denote pi
š
Hello
Are you also obsessed with the choice of convention/notation for stuff?
Iām super autistic about it lol
lol look at the first few lines of my homework template: https://github.com/Spamakin/templates/blob/main/hw/main.tex
Isn't that just Deltoid in a nutshell?
I love your comments
Anyways yea I'm super interested in this stuff and mildly particular
For some definition of mildly
Fair enough
Like how certain things are spaced and typed out I do care
Oh god same. Consistency is the biggest thing.
wdym ending a for all with a .
If something isnāt consistent it drives me crazy.
āx.āy.P(x, y) ā§ Q(y) means āx(āy(P(x, y) ā§ Q(y))) in the parentheses notation
I'd never write such a thing but fine I guess
I would quit logic right away if I see this
But idk if I'd use the .
Itās really common in type theory papers.
But I never type lambda . so I have nothing to be inconsistent against
The . is a historical notation which indicates scoping, that the thing associates as far right as possible.
Hello guys, is ChatGPT reliable for definitions (and explanation)? ~ thanks
Makes sense
no
No.
This is fine
Isn't that a common notation
It is
I never see such foralls and whatever else purely logically like that
But it is by no means the standard
Except when I TA discrete math
I TA'ed discrete math and the entire class was just this
Most conventions I die on the hill for have been proposed and used by someone or some people but perhaps donāt have mainstream use/acceptance.
Oh during my entire undergrad and every textbook I ever opened everything swapped between whitespace, :, and parentheses everywhere
I never saw it until some type theory papers. And even there itās not standard. Some will subscript the variable. Or use , or something
But when TAing I had far more fundamental concerns than typesetting
The use of a : to me is a sin because : is a type declaration
This makes sense
When Iāve graded and taught stuff I always put my notation concerns aside to try and give people what I believe to be standard as itāll be less friction for them in the long run.
Like I will suggest people use python for scientific computing
But, damn if I had more freedom over an entire course. Maybe it could be interesting to try something else
When I TA'ed discrete math, one thing I hated the most is teaching students how to translate casual English into logic symbols. I found it to be very pointless. There was more emphasis on this than rewriting math theorems
Overall it just becomes an English class rather than a math class
It's useful as a proxy for making sure they actually understand what is written
sometimes
oh reliable
i didn't see

My experience is that students more often than not were unable to tell me in English what they themselves had written
And so they couldn't even think about their own work
Yeah that's troublesome
It's just logical shorthand for communicating ideas
I agree this is dumb. The best math exposition uses a good balance of human language and symbols. Overloading on the symbols can make things a lot harder to read.
So you should be able to translate the symbols to words and vice versa
But yeah this is important too
No different than being able to translate pseudocode to actual code and vice versa
Now all cs majors have the impression math is just logic symbols overloading
If that's their impression that's more an issue with the course
Cause you shouldn't spend more than like a week on this
Only when first teaching these symbols really (along with basic logic)
It is an issue with the course as well yeah
your comment was perfect and illustrates the issue exactly lol
I'm not sure it's a common pattern in discrete math courses
Well for basic truth table stuff sure. And due to LEM this does capture the essentials of how people will use these things.
But logic can definitely get more complicated than a week being necessary. If someone is learning it for the first time. Thereās a good reason CS majors generally have to take a logic course.
I just meant like a week on learning the symbols and being able to translate them from English to symbols and vice versa
Not the whole field of logic
I never liked discrete math courses ngl
They feel like a pile of different stuff all stuffed together to create this abomination
Oh
yeah a lecture or two and a homework should be all thatās needed
Well one unifying bit is itās basically the stuff one needs to do basic algorithm analysis. A pure mathematician may be horrified to hear that explanation though.
pure vs applied vs not mathematician are not always clear dividing boundaries
you are probably one of those cases
I hope so, I'm trying to apply for a computing fellowship at OSU lol
There's a reason why cs students that go to discrete math 2 do really bad overall. It's taught be a cs prof and he goes over graph theory mostly. We have a course on graph theory taught by a math prof but that one is more of an optional course for all majors. Usually the trend is if you take the graph theory class then discrete math 2 then you do really good



