serious-discussion

[reef rover]

雅达利为什么我搜索到的是游戏公司

[neat lintel]

意大利人

i meant

[reef rover]

ok

What foreign languages do Italian students learn?

[neat lintel]

it's mandatory to take English all the years and another European language for 3 years (Spanish/German/French)

I'm taking Chinese spontaneously, it wasn't mandatory.

[reef rover]

Our English course is also compulsory

But I didn't learn another language

How long have you been studying Chinese

[neat lintel]

3 months 🤣

[reef rover]

no wander

I can see that your Chinese is not very good

How did you get interested in Chinese

[proper bone]

i rememberd learning chinese from middle school and still can't get the hang of it

[reef rover]

Learning a language is hard

I'm not very clear about some clauses and grammar in English

[neat lintel]

The course was free 😅 my school gave it for free to 15 students

[reef rover]

all right

you are a good student

hardworking

[proper bone]

English gets weird if you go too deep

[reef rover]

But we need advanced vocabulary and clauses to get high marks in composition

[proper bone]

In my day to day life me and my pals speak in broken English most of the times

[fervent light]

how do you prove 3^n/n is not bounded above?

[sharp mulch]

#❓how-to-get-help

[fervent light]

i just need to know how to start

do you think induction would work?

[proper bone]

What do you mean by not bounded?

[fervent light]

that for every real number M there exists a natural number n such that 3^n/n > M

[fast moat]

prove that for every integer $n$ greater than 1, $\frac{3^{n+1}}{n+1} > \frac{3^n}{n} \times \frac{3}{2}$, thus proving its divergence

[fathom swallow]

NutronStar45

[fervent light]

thank you. but why does proving that mean it diverges?

[woven whale]

just show that $3^n > n$ for any non negative integer n

[fathom swallow]

i believe in mathemagic

[fast moat]

because $\left( \frac{3}{2} \right)^k$ will eventually supersede any number

as k gets larger

[fathom swallow]

NutronStar45

[sharp mulch]

This is not correct

2n>n for any non-negative integer n but (2n)/n is bounded

[woven whale]

true

just lh then ig

[fast moat]

this

[zealous garden]

3^n/n = z, 3^(n+1)/(n+1) = 3z(n/(n+1))

n/n+1 -> 1, A(n+1) -> 3A(n)

Therefore it grows unbounded

[neat frost]

Drr drrr lhopital drr

[devout hill]

guys is anyone here n the UK

[sharp mulch]

Don’t ask the same question in multiple channels

[devout hill]

Im guessing ur not then

[river moon]

what's there to choose from for it have some order?

it's just algebra and pre-calculus or whatever

[stuck veldt]

t'es aigri

[sharp mulch]

?

[stuck veldt]

where ur pp from

[sharp mulch]

?

[stuck veldt]

...

srry my english bad

[zealous garden]

pfp?

[stuck veldt]

ye

[zealous garden]

Profile Picture

Lmfao

[sharp mulch]

Riku Kurose from 10 count

[stuck veldt]

ok

bro i googled it

what's that

[bright hill]

Lmfaoooooo

[stuck veldt]

why ?

ah ok mb

now i know why

[zealous garden]

lmfao again

[stuck veldt]

i said something wrong one more time ?

[zealous garden]

No

I just read the messages and started laughing my ass off again

[stuck veldt]

ah ok

[neat frost]

Immature af

Grow up dude

Where’s Xan

[bright hill]

Get back to me when you've tasted alcohol

, toddler.

[neat frost]

I’ve had alcohol my friend

[zealous garden]

Alcohol tastes terrible

[bright hill]

Perfume doesn't count

[stuck veldt]

alcohol not good

[neat frost]

Funny how you think I haven’t had alcohol. A) I’m American and B) I’m Jewish

First time I was drunk was when I was 8 days old, boy.

[zealous garden]

There are some delicious wines, chill beers, and tolerable liquors

[bright hill]

???

[neat frost]

Smh

[zealous garden]

Sad

[neat frost]

It’s called a Brit Milah

[zealous garden]

Sad

[neat frost]

Jewish boys are circumcised at 8 days old

[zealous garden]

Damn shame it is

[bright hill]

Fuck, i should've said weed

[neat frost]

So you get em drunk first

[neat frost]

I’m fucking AMERICAN DarQ

[zealous garden]

*mutilated

[neat frost]

Wowow let’s not shit on religious traditions

Gotta get those health benefits

Like uhhh

“Reduced cancer risk”

[zealous garden]

Circumcision should be illegal

[neat frost]

The fucking MORGUE??

[zealous garden]

LMFAO

[neat frost]

Yohan do you know what a morgue is

[bright hill]

Circumcise what?

[zealous garden]

Fucking MORGUE

[neat frost]

I mean like

Good parallel there

It’s called like a Temple in English or whatever

[proud olive]

Going to the morgue

[zealous garden]

Yeah

You go to Temple

[neat frost]

Jews call it a Shul (lame Yiddish) or Beit Knesset (lame Hebrew)

[neat frost]

The pp

[zealous garden]

You can keep your religious practices Slurp, but don't force it on children

[wooden flax]

i want to send a funny gif but i think it might be nsfw

[neat frost]

Anyway I will decline your offer Yohan

[zealous garden]

Babies can't consent to belief systems

[neat frost]

I do my best to avoid going to Shul

[wooden flax]

type pp into the discord gif search bar

and see what pops up

lol

[bright hill]

At 8 days old the pp is like non existent

[neat frost]

Babies can’t consent to being born either yet we force em anyway

[neat frost]

Maybe for you but not me boy

[bright hill]

The doctor could miss by 0.5 cm and they'd take the whole thing off

[neat frost]

The “doctor”

Sure

As if

[bright hill]

That's actually a major medical concern

[neat frost]

I don’t respect children

Lmfao

True!

[bright hill]

Lmfao

Anyhow

What does that have to do with being drunk?

[zealous garden]

Alcohol you can't remember doesn't count

[neat frost]

Oh also Wraith in response to this, Im not forcing my beliefs on anyone, I don’t believe in circumcision and I totally get why people take issue with it.

Me trying to spell curcumsicsion

[neat frost]

They get the baby drunk before chopping the pp

[bright hill]

Can we just take a moment about how idiotic using alcohol as anestigiaque?

[neat frost]

Anyway I have never been drunk after that but I have had alcohol every so often

Anestigiaque

I feel the pain DarQ

[bright hill]

And for a baby nonetheless?

Like

Bruh

[neat frost]

Idk how safe it is to use anesthesia on babies

[zealous garden]

I hope you didn't feel like I was accusing you of anything

[tawdry frost]

you guys study over here?

[neat frost]

Anyway I have no issues whatsoever DarQ so obviously getting the baby drunk works!

[tawdry frost]

like which course?

[zealous garden]

A little bit of alcohol isn't the worst thing

[neat frost]

Oh okay, I wasn’t sure but I didn’t want to possibly insult you

[neat frost]

No I just sleep eat and sleep

[bright hill]

If alcohol worked as an anesthesiac they would have used it before anasthesia was discovered soo

Uh

[neat frost]

So like as another tradition every Friday night/Saturday afternoon we have a meal in honor of the sabbath and part of it we have wine. Usually I have grape juice (which fucking is nasty) but on occasion I’ll be coerced into having wine (which also fucking sucks. I hate grapes)

So DarQ I’d wager I’ve had more alcohol than your young ass

[bright hill]

Survivorship bias my beloved

[neat frost]

I got semi tipsy at my brother’s bar mitzvah

[neat frost]

No DarQ you were supposed to go “no issues sure…”

Smh

[bright hill]

I haven't had any alcohol yet tbh

[neat frost]

Ha!

You’re not missing out

[bright hill]

yet

I can if I want to

[neat frost]

You’re not missing out

[bright hill]

I see

Lol

Yeah

[eager reef]

alcohol mad overrated

[bright hill]

Alcohol isn't super appealing tbh

[zealous garden]

Alcohol was more fun before it was legal for me to have it

[bright hill]

I wanna try weed tho

[sharp mulch]

My favorite alcohol is Piper Heidsieck

[zealous garden]

Which seems to be the story for most people

[eager reef]

true

i drank a lot when i was pretty young so at like 19 i kinda got tired of it

[neat frost]

Alcohol isn’t fun i only enjoy anime

[zealous garden]

But also for me, alcohol is quite unappealing compared to the other options in life

[proud olive]

Yeah there are so many better drugs to do

[zealous garden]

Like Anime, and things I won't endorse here

[eager reef]

let's not start the drug talk again

[bright hill]

How does that work? Lol

[zealous garden]

Exactly

[surreal sapphire]

germany

[bright hill]

Ah

[neat frost]

Wraith is a murderer?

[eager reef]

germany plus older brother and older friends

[zealous garden]

delete this post

[bright hill]

Jokes aside, don't you get addicted the more you drink?

[neat frost]

No! The world must know!

[zealous garden]

You can

[bright hill]

Or where does alcoholism stem from?

[zealous garden]

Addiction is complicated

[neat frost]

The more I do my laundry the less I like it…

[surreal sapphire]

alcohol is addictive, yes

[zealous garden]

Very complicated

In my opinion addiction is primarily psychological, but substances like alcohol can also create physical dependencies

[eager reef]

yes i am glad that i was able to quit on the spot

[zealous garden]

The physical dependencies are terrifying

Alcohol especially is one where the withdrawals can kill IIRC

If you're in deep enough

[neat frost]

Yeah addiction is scary

[zealous garden]

But even with physical mechanisms for addiction, you usually need a psychological aspect to actually fall into it, in my anecdotal opinion and experience

[zealous garden]

To be clear it takes years of daily drinking to achieve this

[vivid halo]

In pretty large amounts too

[zealous garden]

Yes

[bright hill]

side note: yotsuba talking about alcohol addiction is just peak comedy

[eager reef]

wat

[zealous garden]

but I'm one of the fans of those "Addiction is a symptom" models

[bright hill]

I see

[zealous garden]

Everyone I've met with those problems has something heavy they are refusing to deal with, and having had some of my own issues I can tell you that they correlate very strongly with issues I was refusing to deal with

the substance is secondary

[tawdry frost]

I agree

[long matrix]

meow

uwu

[tawdry frost]

owo

[long matrix]

now that u slurp and darq all have the same colour

rip

[neat frost]

Shuri is left out

Shuri is sad

[long matrix]

huh?

no way id want in with u silly

[neat frost]

Shuri go away

This is blue area only

Not for people of your color

[long matrix]

this sounds like a racist thing to say

[bright hill]

I can see that

[neat frost]

Shuri has a crunchyroll account?

[long matrix]

i do?

[bright hill]

Kinda sad that most governments just go DRUGS BAD

[neat frost]

Is that the thing in your profile?

[long matrix]

why are u spying on me

[bright hill]

And just completely ignoring what might be the root cause

[long matrix]

yes slurp

well spotted

[neat frost]

That is crunchyroll?

[long matrix]

my deepest secrets being revealed

[bright hill]

Shuri, what're you watching atm?

Also

[bright hill]

FINALLY

ACCEPTANCE

We had to go through ALL the 5 stages

But we finally got here

[long matrix]

spy x family and bocchi the rock

[neat frost]

POV: DarQ doesn’t understand sarcasm

[tawdry frost]

do you guys even talk about mathematics

i am wondering since past 10 minutes

[bright hill]

You can't use sarcasm on just one half of the sentence

Ughhh

Back to square one

[bright hill]

Sometimes

I mean, you're in the general channels

This place was made to divert all off topic discussion

What did you expect?

[tawdry frost]

oh I didnt read

just now I read everything'

[bronze pelican]

Hi

Rank the best users on this server

[long matrix]

1. meow
2. meow
3. meow

[tight comet]

4. meow

[deep mango]

My name isn't meow

[long matrix]

mine is

[deep mango]

Huh

That's odd

[long matrix]

ryc whats odder is u thinking u have a place

too bad.

[deep mango]

It's sad because now that i'm not a mod i don't appear above you on the member list

:(

Shuri did you ever have something in your life that only came say, twice a year

and one time that time of year rolled around

[long matrix]

gimme the modmail role

[deep mango]

and you just weren't excited for it anymore

[long matrix]

idk ryc

im not very farsighted

[deep mango]

i can't even grant the modmail role

i guess it's above me

[naive chasm]

ryc give it to me

i didnt answer the pedo yet

ill tell him blue

[zealous garden]

Best server user?

[long matrix]

[zealous garden]

Hm

It's uh

[long matrix]

waw u got a hat

[zealous garden]

Yes

[naive chasm]

def. @neat frost

[zealous garden]

Thank you for noticing

[long matrix]

how much are you paid to do this

[zealous garden]

It's Eric

[neat frost]

no u

[long matrix]

i dont think this is an honest way to earn money

[neat frost]

Stfu jealous

[naive chasm]

i love slurp

[long matrix]

meow

[naive chasm]

he's like me

[deep mango]

Ok

[naive chasm]

my roommate and his gf asked for a good bar

[deep mango]

I have to work on homework

[long matrix]

no u dont

[deep mango]

But am i gonna do that? Lol

fuck no

[naive chasm]

do me

[deep mango]

Time to test out streaming on the new wifi

[neat frost]

I am?

[naive chasm]

no

[neat frost]

Oh good

[frigid lark]

If anyone knows the complexity class Polynomial Hirarchy, I would like to ask for some help about the intuition behind this definition. And some simple properties.

[sharp mulch]

You may want to try asking in the CS server linked in #old-network

[frigid lark]

ok.

[wooden flax]

anyone know how to use jekyll?

following this tutorial

https://www.youtube.com/watch?v=g6AJ9qPPoyc&ab_channel=SpencerPao

what does it mean for retrieving git keys

[leaden torrent]

presumably it means ssh keys

[wooden flax]

yeah thats what i thought

so i just generated a new key?

[dusky pelican]

can anyone answer my easy question?

[wooden flax]

is that what it meant

[wooden flax]

#❓how-to-get-help

what does this mean

like what last stage of installation wizard

[wild lantern]

Why not just use the official docs?

I'm assuming whatever ruby installation method they are having you go through has an option to install gem, which is like a package manager for ruby iirc (like pip for python).

I know when I have used jekyll I just installed it through gem using the guide in the official docs.

I might have had to install some of the ruby prereqs they specify in those docs tho.

[wooden flax]

@wild lantern i think ive somewhat figured it out

this is a bit confusing

[wild lantern]

The bare minimum you need is explained here https://jekyllrb.com/docs/

Once you get to the point where jekyll is installed thru gem locally you can build/serve your site using jekyll's macros and junk locally then push your built website to your main site however you choose.

The way I do it is I have a makefile for building/serving locally to test and a script to push to my actual main website.

Idk if this is the best way to do it, just how I do it.

[wooden flax]

i just followed a yt tutorial

[wild lantern]

After you get it running locally you can make a git repo too if you like, but git isn't really super necessary.

[wooden flax]

set up everything except how to make my code changes appear

i think i figured it out kinda

a lil

[wild lantern]

Jekyll is kinda finicky lol

[wooden flax]

how do you make more subfiles?

like this

[wild lantern]

I haven't actually used it in like a year or so so I don't remember all the fine details. Lemme look up how I used to do it.

[wooden flax]

alr thanks

[wild lantern]

I guess the jist of using jekyll kinda starts here

https://jekyllrb.com/docs/pages/

Ah wait

I can't remember if I had to fiddle with the config.yml file tho

Okay I remember my basic structure

I just have a couple subfolders for different layouts/post types and then a handful of fixed html files in the root directory with some jekyll macro junk to populate all my post types

[storm sage]

Yes, the inverse of a quadratic function is no longer a function

[light needle]

Boletín de la Sociedad Matemática Mexicana 1957

if anyone can find this journal I will appreciate it

[light needle]

[light needle]

This is a shot in the dark but

https://www.worldcat.org/title/1120276893

if anyone lives in near any of the library and could see that they could get this I'd appreciate it. I am looking for the following citation in this in particular:

[lethal jetty]

Can someone explain to me what is quadratic formula?

[light needle]

Kan, on c.s.s categories, Bol. soc. Math. Mexicana. 1957, 82-94

[brave hollow]

@light needle https://dmitripavlov.org/scans/kan-on-css-categories.pdf is this it?

[light needle]

Yes!

thank you

[bright hill]

Goated

[sleek mural]

@lethal jetty sure! you wanna bring that to dms?

i can explain it in details there

[limpid beacon]

hello everyone

seyaro here

[proud olive]

Hi seyaro

[limpid beacon]

hello edward

[neat frost]

<@&268886789983436800>

[rocky shuttle]

ryc where are you

good morning slurp

[flat harbor]

we cant count on ryc

hes too busy with "things"

[rocky shuttle]

things?

did he join ee girls

[flat harbor]

straight from the big man himself shrug emoji

maybe he did

he got too tired of egirl pretenders like me and wanted the real deal

[neat frost]

Good morning!

[rocky shuttle]

[alpine kindle]

blo you are a real egirl

[woven whale]

bloē uwus too little to be an actual egirl

[flat harbor]

im too emotion deficient to be an egirl

i discovered that its possible to be hormonal AND emotionally dissociate at the same time

i think my personality type is pretty typical

theres a real person behind the pfp..... i promise.... im not just some persona i made up to collect parasocial relationships..........

[neat frost]

I do not.

[lethal jetty]

Hello

Sorry I was offline

I had to go outside to do something

And now I gotta sleep

[bright hill]

Good morning slurp!

[long matrix]

he doesn't deserve it after bullying blo

[bright hill]

Blo likes being bullied doe

[long matrix]

by anyone but slurp

[bright hill]

[rocky shuttle]

Good morning darq

[long matrix]

,av 299974051127099396

[fathom swallow]

Zanarcane#6798's Avatar

Click here to view the image.

[rocky shuttle]

uwu

[long matrix]

another healer

[rocky shuttle]

you should listen to her

healing voice

[long matrix]

i dont remember her name

in english

[bright hill]

Good morning zane!

[neat frost]

Good morning DarQ!

[long matrix]

kano?

[rocky shuttle]

Yeah

https://m.youtube.com/@Kano_

[long matrix]

[rocky shuttle]

My favorite songs include https://youtu.be/t6o2TpzpPGU and https://youtu.be/GNkPJvVEm0s

[long matrix]

shes great

[rocky shuttle]

Thanks

antlers ftw

[bronze pelican]

Kano!

[rocky shuttle]

[neat frost]

[rocky shuttle]

sluwurp

[neat frost]

Xan

[rocky shuttle]

Yeah? You're done with edgerunners?

[neat frost]

Not yet

Finished ep5

[rocky shuttle]

Does it contain the minimum amount of death and destruction you wish for?

[faint rivet]

NoCom

[sharp mulch]

<@&268886789983436800>

[lavish kayak]

anyone have good recommendations for a discord about history?

[sharp mulch]

Lol

[lavish kayak]

I recently read "the domestic revolution" and it was an enlightening read about domestic servant work 1820-1900. a seemingly random piece of history that in fact has a lot on impact on my own life, and was very interesting. do you have any recommendation similar to that?

i find that a book that has dry facts combined with personal anecdotes of people from the era is the easiest/most interesting read for me

i also read "the everyday life of the emperor: franz joseph" which was a funny read about court work in franz joseph era, and it proved interesting in the same way - a look at a different time and era, and quite humane

yeah that sounds interesting.

does it deal with only the elite family?

or the mongols as a whole

thankfully a piece of belief that didn't carry all the way to our frying pans

jk jk

thank you, that sounds great! i'll look it up.
i really recommend both the books i listed btw

not my thing, i think. i like rigor so i can get a sense of prespective and to know the author isn't making things up but i don't care much about knowing the facts later

[magic nacelle]

Have you tried reading some "microhistory?" Carlo Ginzburg's books are pretty good, and are basically just one big anecdote.

[neat frost]

We’ll see… there has been death sure but I haven’t really felt anything yet

The characters who were killed off weren’t the most developed

So far though, I still have high hopes

[rocky shuttle]

lmk when you finish it then

[neat frost]

But! It is a good anime

Deaths aren’t necessary to make a good anime, but they do make it better

[rocky shuttle]

Only 10 episodes though

[neat frost]

Yuh

[sharp mulch]

[neat frost]

Is there gonna be a season 2?

Hello ange

[rocky shuttle]

idts

What's up ange?

Edgerunners made me interested in the setting and world of the original game. Before watching it, I just labeled it as a buggy, unfinished game made by a big company.

[neat frost]

Have you played the game?

[rocky shuttle]

No

[proud olive]

Man wonder how cyberpunk 2 is going to be

Was hoping they would just develop more and more on the original game

Oh well

[rocky shuttle]

Wait what? They're going to do that?

Have you played it, edwardborn?

[proud olive]

Yeah it was honestly not that bad

[neat frost]

I thought the game was supposedly good but buggy

[proud olive]

But man the ending are always way too sad for me

[surreal sapphire]

they made edgerunners into a game?

[proud olive]

I think so, but might just be rumors

[proud olive]

No fckn way

[rain dome]

It's a problem that's been vexing for centuries,
Cause no one has ever found a solution please
Angle trisection is impossible it seems
But mathematicians won't give up their dreams

Angle trisection, angle trisection,
No one can solve this mathematical question
But they keep on trying with determination
Angle trisection, angle trisection

From ruler and compass to algebraic curves
They've tried all sorts of techniques to try and preserve
The integrity of the problem and yet they can't see
A way to solve it, they're still searching desperately

Angle trisection, angle trisection,
No one can solve this mathematical question
But they keep on trying with determination
Angle trisection, angle trisection

It's a problem that's been around since ancient Greece
The Babylonians, Egyptians, their minds did not cease
But alas no one has found a solution as of yet
But mathematicians have faith that they won't forget

[storm sage]

Rip in Galois

[lavish kayak]

No, I'll give that a try, thank you!

[long matrix]

proving its impossible is a solution

[latent sage]

@rain dome

[bright hill]

@arctic grove nice hat lmfaooo

[arctic grove]

lolzz

ty ty

you should thank rat for this hat

[cyan goblet]

what are the chances that, sometime in the future, something like chatgpt will eventually replace homework help servers like this

[woven whale]

0

[surreal sapphire]

we arent a homework help server

[neat frost]

We are a slurp fan server

[cyan goblet]

true, i misspoke

i should be more specific -- the help section

[split island]

I believe you can use the current chatbot for help on some problems, but it will give you the answer instead of help outright if it is correct

I haven't actually verified the rate at which those answers are correct though

For example

Query:

x+4y = 24 and 2y = 3x + 5

using the substitution method, but don't give me the answer```

Output:
```The substitution method for solving systems of equations involves solving for one of the variables in one of the equations and substituting this value into the other equation. This allows us to solve for the other variable, and then we can substitute this value back into the first equation to find the value of the first variable.

To solve the system of equations given in the question using the substitution method, we can start by solving the second equation for y. This gives us

$$y = \frac{3x + 5}{2}$$

We can then substitute this expression for y into the first equation to get

$$x + 4 \cdot \frac{3x + 5}{2} = 24$$

Solving this equation for x gives us

$$x = \frac{24 - 5}{1 + 6} = \frac{19}{7}$$

We can then substitute this value for x back into the expression for y to find

$$y = \frac{3 \cdot \frac{19}{7} + 5}{2} = \frac{61}{14}$$

Thus, the solution to the system of equations is $(x,y) = \left(\frac{19}{7}, \frac{61}{14}\right)$.```

Which of course is not correct

However the steps until Solving this equation for x gives us are perfectly good initial steps

[eager reef]

I asked it to explain colimits

was pretty good

also cocompleteness and the fact that they do not always exist was mentioned

when i asked it to specify in top it choked a bit

[fair mural]

@split island happy pfp 😎

[split island]

Yeah bc I no longer can be blue

The hero sad pfp matched active blue

[fair mural]

mods you hear kirby

they don’t want honorable so you can give it to me

[split island]

[rain dome]

It's a problem that's been around since ancient grease
The slupforheadnoodle, ameo, their minds did not cease

[long matrix]

its not a problem we have right now

and i only care about the right now

[fair mural]

grease

[long matrix]

not what those incompetent greeks couldnt do

[rain dome]

cease!

[long matrix]

they couldnt even do category theory i bet

[rain dome]

Actually they could, category theory goes back to the Neolithic era. When cavemen counted, say as they might count dogs going out and then coming back in in the way that farmers millenia later did with sheep, they constructed domains, codomains, and maps. First they would put a rock on a pile for every dog leaving to construct a set R of rocks, then as they came back, take away a rock from the pile for every returning dog. In this way, a map f: R -> RD where RD is the constructed set of returning dogs was constructed. If this map failed to be surjective, the caveman would be disappointed, and if running out of rocks leading to a failure of well-definedness, there would be plenty jubilation.

[long matrix]

that doesnt sound like category theory at all

[fair mural]

that sounds like regular set theory?

[long matrix]

dont advertise your help channel like #❓how-to-get-help says

[lament flicker]

is writing an essay in latex with no math/physics halal or haram

[long matrix]

@neat frost field this

[sharp mulch]

What's wrong with that

[lament flicker]

just a shower thought

[neat frost]

There's no issue with it

La/TeX is a typesetting language, it also happens to have excellent math support

[leaden torrent]

see: the entire field of linguistics

latex is the standard for linguistics despite linguistics typically using little math (outside of specific subfields) and latex lacking native IPA support

[next schooner]

covington

yum

[lavish kayak]

how many mathematical tools am I losing access to if i complete my CS degree as a pure CS degree and don't take a CS-math combined degree?

im worried that i won't be able to research theoretical subjects in CS with just the CS curricullum

in terms of math courses i have in the CS degree:
linear 1/2 for CS students
calculus 1/2 for CS students
introduction to logic (set theory up to dealing with orders and cardinality)
intorduction to probability
probability and statistics for CS students

[vast surge]

Honestly that seems pretty good. Maybe some graph theory if you want to do networking stuff, algebra/number theory if you want to do cryptography, etc., but beyond the basics different things in CS would need different math so I don't know what specifically to even recommend studying because I don't really know a ton of CS

[storm sage]

it'd be nice to learn some computability theory

[bronze pelican]

@vast surge hi Zorn's lemon

How's it going

[wild lantern]

Sipser is really fun

That might not be the kind of thing you mean though.

[timber pollen]

realising that my grades this semester are f*cked
get nervous
go home
open my bag to do stuff
it’s wet
water bottle leaked
everything in it is wet

[lament flicker]

that's good to know

[vale plover]

Anyone know some good printing services that have paperback and/or hardcover binding? Tried Lulu, but printing with it seemed tricky. Do thesis printing services serve this purpose?

[lavish kayak]

Thanks @storm sage @vast surge

I think I want some approximation theory and heavier logic like mouse mentioned

Is measure theory at all related to graph theory?
Intuitively I think that if I'll want to research ways to analyze complicated graphs like neural nets I'll have to "measure" whatever metric I'm setting up, but I'm not sure if that's even what the field is about

[sharp mulch]

No not really

[deep mango]

Measure theory is the theory of defining lengths / area / volumes of sets. This is really closely related to probability theory, probability can all be phrased in terms of measure theory. And people care a lot about random graphs. But this isn't really the relationship you're looking for, they just happen to both be used for random graphs

[brittle socket]

Hi ricey

[lavish kayak]

There's a probability course offered that doesn't have measure theory as an prerequisite, would that be enough for most CS work?

[cyan goblet]

i (think) yes that should be sufficient

im no expert tho

(but probability theory makes so much more sense when u think about it in measures)

at least, on the proof side imo

[deep mango]

Definitely for most CS work. However there are applications of more advanced topics in probability (like stochastic processes or stochastic differential equations) to areas of CS (like computational finance or computational statistics). These advanced areas probability heavily benefit from measure theory, but you wouldn't learn them in a first course anyway

[solid snow]

Dr peyam has a nice write up on the lebesgue integral and one of its uses in probability. Very simple, but neat

[deep mango]

It's no problem at all to learn that stuff later if you decide you like the kinds of cs that require it

[cyan goblet]

stochastics are super interesting

someday i might look into it

[lavish kayak]

I want to do enough math that I don't feel like my foundations are crooked coming out of my undergrad, but not take too much because there's a lot of really good CS courses I also want to take and both math and CS are heavy load courses

[cyan goblet]

the nice thing is cs and math undergrad programs have a lot of overlap

i know lots of cs major + math major/minor students

[lavish kayak]

Maybe, but the way it's built up here is if you take enough math to go beyond calc 1 calc 2 then suddenly all the actually cool CS stuff is locked

CS don't do analysis

So no approximation theory

I am thinking of adding a minor, but I'll have to fill in a month and half of work since the semester started...

So trying to be frugal

[lavish kayak]

Also no graph theory and no advanced logic for CS!

We do get computability theory tho

[cyan goblet]

that’s pretty weird

for lack of a better word

[lavish kayak]

Yeah our only graph theory is in the year 1 comb and discrete structures class

[cyan goblet]

oh that’s how it is for most undergrads i think

basic graph theory + other stuff in a class called “discrete mathematics” or some variation

[lavish kayak]

Oh

The math department has a undergrad course which is pure graph theory

[cyan goblet]

must be nice

[lavish kayak]

And an advanced logic course for ungrads that gets to ergod stuff

[lavish kayak]

Which I just want because it's cool

[cyan goblet]

wdym by all the cool cs stuff is locked btw?

[deep mango]

Well I kinda had a similar experience where I took too many math classes and didnt have time to do all the prereqs for cs classes i wanted to take

Like operating systems or compilers

[lavish kayak]

You can only take a certain amount of course points. I suppose you can take more but you pay extra and they don't guarantee they won't clash

[deep mango]

:(

[cyan goblet]

:(

[deep mango]

But it was worth it to do a lot of math

[lavish kayak]

So doing math + CS you run out of points if you do both fields requisites

[cyan goblet]

that’s really unfortunate but honestly you can always self study

[lavish kayak]

Those are exactly the cool classes I wanna take lol

[deep mango]

Yeah

[cyan goblet]

alternatively, depending on your career plan, you can always do math and build a portfolio in cs

ie doing little projects on ur own or whatnot

[deep mango]

If you think low level stuff is cool then you probably don't need to worry about probability theory that much. Idk

Though im sure there's a lot of cool stuff in the intersection

[cyan goblet]

but

u should learn probability theory anyways

because it’s cool

how kolmogorov has two strong laws

but one is used to prove another

[deep mango]

Anamono did you see the putnam

[cyan goblet]

so it’s more like a strong and stronger

haven’t looked at it yet

is it good

[deep mango]

There are like 2 or 3 probability problems

Its crazy

[lavish kayak]

I tend to find abstract stuff cool.
So logic and the basic ways operations work or the basic way you'd set a system of compilation is very attractive to me

[deep mango]

I did A4 which was a probability of ne and I got that wrong

But I was really close!

I think I just messed up the calculation at the end cause i did it in my head

[cyan goblet]

is there a way to find the pdf

[deep mango]

Umm one sec

[cyan goblet]

have u considered category theory?

[lavish kayak]

Its not even in the undergrad course list I think

[cyan goblet]

very likely not

it’s also a relatively new field

but huge applications in cs

[lavish kayak]

I understood it to be... Generalizations of forms of eqvuilances?

From my one min Wikipedia read

[deep mango]

https://kskedlaya.org/putnam-archive/

[sharp mulch]

"huge applications" is probably exaggerating

[cyan goblet]

yeah exaggerating

but likely to have big applications

[deep mango]

Haskell

[neat frost]

They have TeX source. Time to criticize!

[sharp mulch]

Some parts of CS may make use of it

[neat frost]

Making me fucking download the file

[deep mango]

Anyway

This is the best putnam in ages

It's all analysis

[cyan goblet]

these look hella fun

last years looked so boring

like all number theory iirc

[deep mango]

The game one looks so good. A5 I think?

[cyan goblet]

yeah

[deep mango]

Even the number theory one A2 looks cool

Or A3

Idk

[cyan goblet]

a3

[deep mango]

Some of them are dumb though

[cyan goblet]

a2 is polynomials

[deep mango]

A1 is horrific, B1 is stupid

[cyan goblet]

idk i could take a number theory course next semester but idk if number theory calls to me

[deep mango]

A2 idfk

What's it about

I think elementary number theory is boring

[lavish kayak]

Thank you both! I'm off

[deep mango]

But analytic number theory is pretty cool

And im sure algebraic number theory is cool if you like algebra

Since that's like

Galois theory and representation theory and stuff that people like

[cyan goblet]

“Divisibility, primes and their distribution, the Euclidean algorithm, perfect numbers, Fermat's theorem, Diophantine equations, applications to cryptography.”

intro to number theory

[deep mango]

Blech

[cyan goblet]

wait

[deep mango]

Perfect numbers

[cyan goblet]

this is basically like

half of abstract algebra

lol

[deep mango]

Yes there's a big overlap

[cyan goblet]

oh well then nvm cos im taking abstract algebra next sem lol

sorry

“modern algebra”

not abstract

idk recently topology has caught my eye

https://arxiv.org/abs/2001.05733

i started reading this yesterday

seems kinda cool, been googling a lot of stuff but i also get to learn various concepts

[vast surge]

Finals week

After finals I'll probably try to study some math on this server over the break

[bronze pelican]

Nice

[fierce ivy]

Hi, is there any resource/website/whatever that provides a bank of questions on a specific math subject? Maybe around high school to entry college level, for practice purpose

[lunar falcon]

Depends on the subject

If it's calculus, you can look at Paul's online math notes or just search for any textbook pdf and do some exercises

[bright hill]

Khan academy

[junior jolt]

yo guys

would anyone mind explaining how the completeness theorem doesn't contradict the incompleteness theorem?

godel's

[alpine kindle]

they are referring to two entirely different things

[teal lion]

completeness is predicate logic

incompleteness is Peano arithmetic

think of it that way

[alpine kindle]

the completeness theorem says that for a first order theory, if every model of the theory is a model of some sentence, you can prove that sentence from the theory

basically, anything that's always true can be proven

[junior jolt]

yeah and doesn't incompleteness say that given finite axioms, there are certain statements that are true but unprovable?

[alpine kindle]

no

[teal lion]

Even given infinite axioms

[alpine kindle]

not really

[junior jolt]

im guessing it's countable

[alpine kindle]

no

[teal lion]

and you need to be specific by “statement”

[alpine kindle]

it's more specific

[junior jolt]

yeah ik xd

[alpine kindle]

if you can use an algorithm to list them all

then they can't prove everything that's true in "true arithmetic"

because of the completeness theorem this means that there are models of any axiom set (that can be generated algorithmically) of the natural numbers that are not equivalent to true arithmetic

[fierce ivy]

I think that's too "long-term", which means too theoretic for me who just needs around 3 months until the exams

[storm sage]

completeness theorem: if the axioms semantically imply something, then you can write a proof of it
incompleteness theorem: there's no good set of axioms you can pick for the natural numbers

@velvet dagger are you proud of me I answered my own question from months ago

[velvet dagger]

Tbh you now know this better than I do I think :PPP so yeah proud

Honestly

[storm sage]

yay!!!

:D

[velvet dagger]

I only know what completeness theorem was because someone was asking about it and getting a suboptimally worded explanation

[storm sage]

xD

[velvet dagger]

And I kinda went in headstrong thinking they were asking about compactness theorem

And once I commit out loud to the fact that I will explain it

[storm sage]

that kills me

[zealous garden]

Lmfao

[velvet dagger]

I realize I don't know what I've committed to explaining

[zealous garden]

Based

[velvet dagger]

So I just Google it real fuckin fast

And I'm like ohhhhhh so it's like if you know that orders of subgroups of finite groups divide orders of groups

Because you're sonic the hedgehog and checked every finite group and every subgroup

[storm sage]

mfw you check every finite group lol

[velvet dagger]

Then you know that someone out there could write down a finite proof of this fact

[velvet dagger]

Look I came up with this explanation literally in the minute that I looked this theorem up

[storm sage]

did the person understand it

[junior jolt]

i understand this

however

what's the difference between "semantically imply" and "prove"?

isnt a proof just a semantic implication?

or is a "proof" something to do with models

[storm sage]

A semantically implies B = in every model where A is true, B is true
A syntactically implies B (or A proves B) = I can write down a step by step deduction from A to B

[junior jolt]

i see so the first just says something about whether something is true, and the latter says something about whether this is provable

but uhh, we're saying that every semantic implication has a proof

[junior jolt]

so how does that not contradict incompleteness theorem here

[storm sage]

where do you see a contradiction

"every semantic implication has a proof" is correct

can you state the incompleteness theorem in your own words

it may help to see where you're getting confused

[junior jolt]

given a set of axioms that can be generated algorithmically, there are statements about the natural numbers that cannot be proven but are true

that's my understanding of it lol

and then the way i interpret that in my mind is that, we're saying there's a semantic truth about N

but no syntactic deduction (no proof)

[storm sage]

one way to phrase it would be like this

if you pick a consistent and algorithmically decidable set of axioms, then they cannot imply every statement which is true about N

here I've picked the word "imply" because soundness and completeness tell us that semantic implication and syntactic implication are equivalent

so you can write semantically imply or syntactically imply and it would be correct

if the axioms semantically imply something, then they will always syntactically imply something

however it could be true that the axioms just aren't enough information to deduce everything about N

so like for example, let's say your only axiom is that 0=0

then 0=0 neither semantically implies nor syntactically implies S0>0

but okay you could say we'll just add S0>0 as an axiom

but then from 0=0, S0>0 there would be something else you can't prove

so you'd have to add another axiom

and so on and so on, and you'd have to add infinitely many axioms in order to have everything that you want to be true follow from the axioms

enough that your set of axioms ends up becoming either inconsistent or no longer computable

Like your axioms will never be enough to "pin down" N

There are always other things that satisfy your axioms which are not equivalent to N

this is what incompleteness is saying

okay I think I said too much and it's probably confusing now xD but feel free to ask any questions

[junior jolt]

Nah that was useful lol

Sooo completeness is basically that

semantic implication => syntactic implication? @storm sage

But that says nothing about what you can imply overall?

[storm sage]

yes, completeness doesn't tell you that axioms semantically imply anything

but soundness and completeness tell you that semantic implication <=> syntactic implication, which is useful

[junior jolt]

this is so weird honestly lol

i think i get the """difference""" between completeness and incompleteness thm now

but i still don't fully understand the difference between syntactic and semantic implication

like, to me, it seems like they're basically the same thing

even without completeness and soundness

would you mind explaining what they are?

[storm sage]

semantic means we're dealing with models

syntactic means we're dealing purely with symbols and rules for manipulating symbols

so the result that they are actually the same thing is somewhat miraculous

(as long as our deduction rules are "good enough")

[storm sage]

so like for example, syntactic would be like saying phi -> psi and rho, so phi -> rho

this is purely formal: it only depends on the form of the expression and not on the content

semantic implication is more like: let's say phi semantically implies psi. Then, for every model M, if phi is true in our model M, it just so happens that psi is also true in M

so intuitively the connection between them is not obvious

but if your deduction system for syntactic deductions includes the right rules (there are many possible choices here) for soundness and completeness to hold, they are almost magically the same concept

[vale plover]

just a random topic: an irritating thing about knapp's digital editions of his books is how large the page margins are

there is so much unused space

i guess it's for marginalia

but the font is so tiny

and i don't like making my pdfs larger

that makes it so that i have to scroll

i only use the page fit setting most of the time so that i can avoid scrolling and instead only tap a key to advance to the next page

it also makes printing the book extremely wasteful

[echo tundra]

That depends, there are two versions of the book on the library who's name is the first book of the bible.
One has very wide margins while other has narrow one

Just so that we are on the same note, this is the one I am talking about. The margins seem decent to me

[vale plover]

you don't need to go to that library

you can just download it off of knapp's website

the digital edition on his website has excessively large margins

the first edition has standard margins

[echo tundra]

Oh, I didn't know that, in that case using the library version makes sense?

[vale plover]

yeah, but new = good

plus errata are fixed

and possibly some new content

[echo tundra]

This is the same 2016 digital second edition. So, checkmate

[vale plover]

someone must have modified that file

[echo tundra]

I think it's not that hard, just trim the margins using say GS or pdflatex and the pdf should adjust

[midnight prairie]

from when did math become gay

[torn willow]

idk why but philosophy has the same feeling as government bureaucracy

"Trust me, it's gonna make progress within the next 50 years"

Well literature is connected to society

It reflects what society is at the moment

tbh my criticism is against the ivory tower

Like Big philosophy is quite literally a thing for some reason

Well,the big names

Kant,Hegel,blah blah

No one except them "matter"

Ok same thing

[flat harbor]

"yo fuck philosophy i aint no socrates and u dont see me goin around tellin ppl how to live"

socrates 2

its a funny minion facebook mom meme yohan why arent u laughing

[chrome goblet]

I could never understand why Kant is so important

[surreal sapphire]

rawls is standard content in german schools

rawls and habermas are the modern philosophers we talked about i think

[torn willow]

Because Critique of Pure Reason

Ok Rawls seems very very interesting

[chrome goblet]

Maybe I should actually read it to understand what’s revolutionary about it but also I will never bother

[surreal sapphire]

kant was one of the most important thinkers of enlightenment

which was a pretty big movement in europe

it influenced everything

[flat harbor]

i enjoyed taking a course on it in a historical context

[surreal sapphire]

i dont know if critique of pure reason is important considering its impossible to understand

[chrome goblet]

I do understand why it’s important in a historical context tbf

[surreal sapphire]

he also influenced a ton of other philosophers

most importantly hegel probably?

[flat harbor]

i think hegel is more approchable

[torn willow]

What does it mean for a work to be important

It is the basis for groundbreaking theories/inventions?

[chrome goblet]

I mean important in a sense that it’s frequently talked/taught about

[surreal sapphire]

i mean people like kant influenced everything

science, politics, ...

[torn willow]

Apparently it's his contributions to ethics

He did physics?

Isn't this literally in the Bible and other religious texts?

Kant’s moral philosophy is unique and counterintuitive. Kant believed that for something to be good, it had to be universal—that is, it can’t be “right” to do something in one situation and “wrong” to do it in another. If lying is wrong, it has to be wrong all the time. It has to be wrong when everyone does it.

[surreal sapphire]

he did philosophy of physics

it also was a time where the distinction between natural philosophy and natural science wasnt as clear but nobody would call him a physicist today

[torn willow]

Kinda agree on this sentiment

He argued you should do your best because anything less is to treat ourselves as a means rather than an end.

Kant is kind of ok,ig

[leaden torrent]

drake youve spent so much time trying to get bad summaries of philosophy from math discord

why not read an actual philosophy text

may i recommend tractatus

[long matrix]

kant kant do it

my favourite philosopher so far is perhaps plato

not saying i agree with him or anything

i just liked studying him

and his ideas he comes up with

[zealous garden]

Best philosopher is Thales Hermes Trismegistus

[torn willow]

I mean ,all the philosophy recommendations are on topics I don't care about.

Like I don't care about logic or reason or epistemology.

I am literally incapable of caring about ethics or aesthetics.

The only thing I am interested in is culture/society and I don't think there are any phil texts on that.

[leaden torrent]

so political philosophy?

read locke, mill, rousseau, marx

[junior jolt]

but what if i told you that logic and epistemology is cool?

checkmate

[leaden torrent]

if you want something more modern then you kinda have to contend with the analytic-continental split

analytic philosophers think political philosophy is, quote, "fake and gay"

(see rawls' theory of justice)

whereas continental philosophers tend to be either somewhat lefty or giga lefty

you do get some proper liberals on both sides

[junior jolt]

replace the word political with academic, and the word "gay" with nothing

[leaden torrent]

the thing is that political philosophy quickly becomes ethics since it turns out "how is society structured, and how should it be structured?" quickly becomes "what does it even mean for something to be good?"

[torn willow]

Ok,ig I will read those

[leaden torrent]

indeed the first work of so-called "political philosophy" in the western canon was an ethics test

lmao

plato's republic

most philosophers do not even read it as a political work nowadays, despite it using politics extensively

(doesnt stop political scientists tho)

this is a westerncentric viewpoint tho

[torn willow]

I guess that's fine. I don't like ethics where it's like highly fictional and absurd thought experiments

[leaden torrent]

theres a lot of confucian works for example that deal with how society ought to function

they tend to be fairly paternalistic and whatnot

but i am not as familiar with them so i dont want to speak to them too much

[torn willow]

Like "what if suddenly you got stitched with another human being out of nowhere"

And "hence why abortion is bad"

[leaden torrent]

you can also just read history ofc

it wont tell you the "how should society ought to be" but it will tell you "how society arose and took its various forms, why it did this, and how it affected the people who lived in them"

hint: it's all taxation

everything is taxation

taxation makes the world go round 🛞

(this is a joke but not too far off, we can track the development of society fairly closely to the development of taxation bureaucracy)

(of course the direction of causality depends on your POV)

(but a somewhat popular viewpoint among early human historians is that taxation enabled the progression of states past small farming villages into, well... states, by allowing there to exist a class that neither farmed nor fought for a living)

(this class constituted academics, inventors, bureaucrats, statesmen, etc.)

(and from there, we got people in service industries, people who manufactured luxury goods, etc)

[torn willow]

Didn't priests and such already exist before this

[leaden torrent]

they did (for certain definitions of "priest") but they had pretty exclusively religious functions

or well

"religious" is the wrong term

[torn willow]

Ok true

[leaden torrent]

like, they assumed leadership roles and stuff

but the point is that they didnt really constitute an entire class

[torn willow]

I see

[leaden torrent]

and you can argue that tithes are just taxation except enforced by social pressure/obligation rather than violence

(ofc in some cases, they were enforced by violence as well.)

[torn willow]

So who actually studies things like "how has money played a role in evolution of society", etc

Is that what sociologists do

Or is this history

[leaden torrent]

thats what economic historians do yeah

sociologists do so to an extent as well

theres a lot of overlap

an interesting tidbit: a lot of anthropologists used to think that taxation arose from "protection rackets"

like, if you imagine you exist in a pre-bronze-age region without a state

there are two ways to get food

produce it yourself (hunt, farm, gather) or steal it

so a lot of people postulated that large-scale armies eventually formed, but rather than stealing food, they said "well, if you pay us food every year, we won't have to rob you"

"and maybe we'll protect you from other armies too"

but theres some evidence — and i dont know what that evidence is, this is just what ive heard through second-hand accounts — that it wasnt really phrased as "protection", but rather

"we're gonna rob you either way, but if you make it easy on us and dont fight back then we might leave a bit behind" lmao

like the end effect of that is the same

but the way they "thought of it" is clearly different

rather than being structured as tribute paid for protection, its basically just deciding not to fight back

i think the main evidence for this is that "taxation standards" mostly developed after states did

like we see states being funded by extorted money

but we dont see anyone make an effort to like, record how much money an individual farmer ought to pay

or whatever

until many years after the first states formed

so it seems like, rather than there being a tributary system and whatnot where you pay a certain amount of food for protection

you just got robbed lmfao

and they left a little bit behind so you'd keep producing for next year

(rather than starving to death, which would make you unable to farm.)

[torn willow]

So basically like pirates

[leaden torrent]

this is jsut based off what evidence we have available

believe it or not, people in prehistory werent super interested in writing down everything they did

and when they did write stuff down, a lot of it was on mediums that dont really stand the test of time

so we dont really have all that much direct evidence unfortunately, just a lot of extrapolation

(also i stress that im not an expert so im probably misstating some stuff here)

[long matrix]

would plato count? he writes some stuff on society

[deep mango]

plato is super fun to read

[long matrix]

capital R ryc

u r abominable

[deep mango]

what?

oh yeah i had an idea last night

[long matrix]

i cant accept ryc with a capital r. What thinks you @neat frost ?

a capital r is too intimidating

[rocky shuttle]

better than RYC tbh

[deep mango]

Ryc is not intimidating

[brittle socket]

Hi ricey

[deep mango]

it looks like i'm some stuffy nerdy bumbling but sort of cute librarian type

[long matrix]

💙

[deep mango]

RYC is intimidating and it is meant as such

[long matrix]

@rocky shuttle look ryc is so cute now !

[deep mango]

hello grass

i'm not fucking cute that's why Ryc only lasted for a few days

also

or like 12 hours

[long matrix]

a caw is super kawaii

[deep mango]

ALSO why are librarians on my mind?

[rocky shuttle]

a caw uwu

[deep mango]

because yesterday i met a SUPER cute librarian who was the best person ever

and i want him to be my husband.

[neat frost]

I agree

It looks fucking stupid

which suits ryc ig

[brittle socket]

Hi Slurp

[long matrix]

now rycs name is perfect !

not that i agree with the #

but itll do

[deep mango]

what

oh

dw it will change rapidly im sure

[flat harbor]

if shuri has a meow

then what environmental niche can i rely on..

[bronze pelican]

RYC is not intimidating

[rocky shuttle]

[aː waɪ sɪː] is intimidating

[long matrix]

.>

bloe is cuddly and wholesome

[deep mango]

no way

blo isn't wholesome

[long matrix]

u can make squishy sounds like a cuddly pillow

[deep mango]

that train sailed a long time ago

[long matrix]

that train sailed

[bronze pelican]

Why would a pillow make squishy sounds

[long matrix]

btw ryc if u give yourself not very ppl will u be the same color as me

[long matrix]

like an anime slime idk

[bronze pelican]

If your pillow makes sounds, there's something wrong with your pillow

[long matrix]

[deep mango]

why would i want that

[long matrix]

im asking

[deep mango]

oh

ill try it

test

[long matrix]

oh its below honorable

[deep mango]

honorable has precedence

[long matrix]

thats a silly idea

[deep mango]

it wouldn't be very honorable to try and hide from the masses

[long matrix]

not very ppl is more important

the color is just beautiful

[leaden torrent]

what the fuck is this

how do you even pronounce [aɪ]

my mouth refuses to say this

[flat harbor]

hahaha

[leaden torrent]

oh i guess its like [ai] but with a southern-ish accent?

[rocky shuttle]

uhh, isn't this just phonetic notation?

[flat harbor]

i remember when i was still wholesome

[rocky shuttle]

did I make a mistake?

[long matrix]

nuuu u still r and always will

[leaden torrent]

are you mixing up [ɪ] and [i] perhaps?

[ɪ] is the "i" sound in "bit", [i] is the "ee" sound in "heed"

"bite" would be [bait]

[rocky shuttle]

I did not put [aɪ]

[leaden torrent]

??

[rocky shuttle]

that's not [aɪ]