serious-discussion

[errant ridge]

yes

[surreal sapphire]

lol sure

[ancient flame]

set a timer loch

[lunar spear]

does perma study lock discussions and such

[twin sedge]

@deep mango $if y^x = x^y , find the equation for the curve formed by the graph.$

[fathom swallow]

wumpus

[deep mango]

Hmmm

[twin sedge]

$y^x=x^y$

[deep mango]

I've plotted this in desmos

[fathom swallow]

wumpus

[twin sedge]

I just am really really interested to see if anyone can find it

Cause it has to touch e,e so it intersects that y=x looking line

[deep mango]

Is it not ||y = e/x||? I always assumed it was

I guess that makes no sense

[errant ridge]

wait is that role actually like a ""timed role"" or do moderators have to manually remove it?

[neat lintel]

it's actually xln(y)=yln(x)

[deep mango]

Sure

[ancient flame]

then you can use Lambert W function

[deep mango]

So you can probably write it in terms of lambert W somehow

[ancient flame]

yeah

there are ways

[deep mango]

Its not e^2/x like I thought

Whatever

[ancient flame]

no

ur wrong

[deep mango]

It might not have a nice representation

[ancient flame]

dumbass

jk

[neat lintel]

yeah sure

[split island]

There’s a Wikipedia page on it, mostly covering that exponentiation is not generally commutative, but it has the representation and it uses Lambert W functions yeah

https://en.m.wikipedia.org/wiki/Equation_xy_%3D_yx

[manic yarrow]

i remember i once saw this video titled "the hidden world of [something] integration" i forgot to save it to my watch later list. it seemed really interesting i think it talked about a "twin brother" of integrals (like dual numbers to complex numbers). anybody know about something like that? (ping me when replying)

[leaden sage]

do you mean like integral transforms? there's some dual stuff with that i think @manic yarrow

[manic yarrow]

i am not sure, maybe

[leaden sage]

@manic yarrow you could also check your browser history?

[manic yarrow]

no i saw it in my feed

[neat lintel]

@fallow yoke @stoic hemlock its 12 in the night here i was gonna sleep after burning my senses doing trigo then saw u guys

see you @fallow yoke gonna sleep

[tender tulip]

Logarithm. Yeah

So consider the graph y^x

we want to find 2 functions that parameterize it over the positive reals such that

(f(x),y) and (g(x),y) parameterize it

so we start with x^y = y^x

considering it’s the positive reals, branches aren’t an issue with the nat log (since they all differ by a fixed number anyway)

so we apply it to both sides to get

ln(x)y = ln(y)x

now we can get

ln(x)/x = ln(y)/y

we know 1/x = e^(-ln(x))

So, we have

(-ln(x))e^(-ln(x)) = (-ln(y))e^(-ln(y))

We can define a slightly modified psuedoexponential function E(x) = xe^x, which has a stationary point at -1/e cuz E’(x) = E(x+1)/e and E(0) = 0

we want to define an inverse of in two domains (“branches”) seperated by it’s stationary point, -1/e, and we name them N(x) and M(x) respectively with the images as the aforementioned domains

(branches of the lambert W)

considering x^y = y^x implies E(-ln(x)) = E(-ln(y))

We can either apply N or M to both sides, but considering their DOMAINS in the process (along with a certain restriction on their range)

we can ASSUME M(E(-ln(x))) = -ln(y) and thus

e^(M(E(-ln(x)) = y

And repeat for N.

Luckily, the branches provide no issue for the positive reals in this case, so the aforementioned functions hold over the positive reals, providing two lines that parameterize x^y = y^x

for the “positive branch”, it gives the lower “section”

which is a straight line since it is true E(M(x)) = x over that interval

but not necessarily after

it holds for the one branch but forms a different curve after

[deep mango]

If you have server related concerns, please DM the @polar panther bot and the mods/admins can get back to you

[tender tulip]

honestly the W function is the only real “multivalued” function I see that isn’t “inversely periodic”

it’s branches aren’t necessarily algebraicly related as far as I’m aware

[ancient flame]

why is fiona an "Adv Helper*"

what does that role do

[wooden flax]

(im guessing) that they are qualified to help in advanced level channels?

[ancient flame]

oh lol

dami has it too

and some guy named doubledual

who is that

oh ok

[wooden flax]

very good i will say

[deep mango]

Yeah that's fine

[woven whale]

what's that integral representation for W

[chilly hull]

ok so

[tender tulip]

have fun

[chilly hull]

yeah thats basically it

@tawny meadow

5km/s is the same as 5000m/s

[tawny meadow]

For some reason, this isn’t clicking for me

[chilly hull]

do you agree with that

[tender tulip]

Algebra

A/C = A/B * B/C

Lets say A = 3B
then A/B = 3
So 1 A/C = 3 B/C

Or B = 4C, then
B/C = 1/4
So 1 A/C = 1/4 A/B

[chilly hull]

just think of unit conversion but you do it to the top and the bottom

[tender tulip]

This is how I processed it

it’s just cancelling units

you “cancel” the numerator and denominator

[ancient flame]

try using latex to make it easier to read

[tender tulip]

i’m on my phone

That’s painful

[chilly hull]

3km/min is the same thing as 3000m/min as 1000m = 1km
3000m/min is the same as 50m/s as 1min = 60sec

[ancient flame]

how

\frac{top}{bottom}
???

[tender tulip]

Lazy

[ancient flame]

...

[wooden flax]

@vivid loom taking mod 3 means taking each summand of each equation mod 3

(ie giving a congruent value mod 3)

[vivid loom]

so let me ask this and you tell me if im understanding correctly

the first 2 equalities, thats kind of like a given that there must be some X that is a natural number?

how does mod 3 ensure that there is a solution for some m and p within the integers?

[wooden flax]

well you have X=(bN-c)/a which implies that its natural

[vivid loom]

its not always natural

[wooden flax]

oh

yeah

[vivid loom]

but you mean it implies there must be ?

there must be atleast 1 solution that is natural i mean

i know from the analysis of the numbers this pertains to, it is the case

there are infinitely many ^^

[alpine kindle]

try fixing one of the values a,b,c

[wooden flax]

^

yeah

[vivid loom]

a b c are fixed integers, we just dont know what

[alpine kindle]

there's one which completely solves it

[vivid loom]

we only know they are integers

what im wondering for the first one is, if we set a b and c to inegers, there must be some x that is a natural number

[alpine kindle]

well try setting one of them to a specific value

[vivid loom]

you can only know they are integers

[alpine kindle]

yes

but

[vivid loom]

you cannot define the value, that defeats the purpose

[alpine kindle]

you only need to prove that X is natural in an infinite number of assignments of a,b,c

[vivid loom]

ok you have completely missed the question at this point

[alpine kindle]

so if you set one value, you still have two extra degrees of freedom

[vivid loom]

this isnt a matter of checking for values

[alpine kindle]

oh wait

hold on

is x equal to X

[vivid loom]

its about knowing that no matter what 3 integers those are, there must be some x that is also an integer

doesnt matter what they are, we can find an x that is an integer

thats the question 🙂

[alpine kindle]

then why does it say "infinitely often" as opposed to "always"

those don't mean the same thing

[vivid loom]

because if there is one solution, i already know there are infinitely many

but the question is, for any a b and c, MUST there be some X somewhere that satisfies the equality for integer solutions

[alpine kindle]

it's already defined a formula for x though

it's not asking you to find a solution

they already have one

[vivid loom]

yes but that doesnt mean x is always natural for a,b,c

[alpine kindle]

yes

of course

so you just have to prove it's natural for an infinite number of assignments of a,b,c

[vivid loom]

i just have to prove that it must have an integer solution.....

doesnt matter what where how big, how many

[alpine kindle]

what is the question asking

[vivid loom]

just that there must exist at least one value of X that is an integer, for any a,b and c we chose

[alpine kindle]

but it's clearly not asking that
because if it was then it wouldn't have given you a formula for x

and asked you to prove that formula works infinitely often

[vivid loom]

we only need to know that there MUST be an x that is an integer, ive said this 6 times

the infinitely part is irrelevant

[alpine kindle]

ok so

actually no

am(bn+c)/a isn't in the form it says x must be in

[vivid loom]

the X on the right shoulod be mx

since we applies am in the numerator

and am are integers

that shows infinitely many solutions for integers, if there exists some X that is already an integer

[alpine kindle]

yes but
it says to find infinitely many natural x in the form (bN-c)/a
not to find infinitely many solutions

[vivid loom]

we just need to show there is one, the infinitely part i just posted above

[alpine kindle]

no but that's not what it's asking for

[vivid loom]

yes it is

[alpine kindle]

am(bN-c)/a is not in the form (bN-c)/a

[vivid loom]

you cant show infinitely many solutions until you show there MUST be one by some principle

[alpine kindle]

so that wouldn't be a valid answer

do you see what I'm saying

[alpine kindle]

also that's literally incorrect

[vivid loom]

no it isnt

[alpine kindle]

it's equal to amx not mx

[vivid loom]

if m is an integer

ok either way amx is an infinite number of solutions for integers. IF X IS AN INTEGER

so to get back to the question

IF a b and c are integers MUST there be a solution for X that is an integer.

[alpine kindle]

that's not what it's asking

the text of the question specifies a formula that you have to prove is infinite solutions

not that there are infinite solutions

[vivid loom]

and you are wrong, because we are only increase (bn-c)

all those values applied to (bn-c) give us our infinite integer solutions.

[alpine kindle]

amx is only equal to mx if a=1 or mx=0

[vivid loom]

where are u getting amx=mx?

[alpine kindle]

that's literally what you were saying

[vivid loom]

nope

[alpine kindle]

you multiplied the formula for x by am

[vivid loom]

we did not multply the formula

[alpine kindle]

and said it's equal to x multiplied by m

[vivid loom]

we just put new numerators in that will also be integers

[alpine kindle]

literally right here

[vivid loom]

thats not multplying the whole formula

[alpine kindle]

it is

[vivid loom]

thats showing infinitely many numerators that have integer solutions, if we find x with an integer solutions

[alpine kindle]

then how is it equal to mx

[vivid loom]

no its not, i did not multiply the whole formula lmaooooo

[alpine kindle]

and not amx

[vivid loom]

here let me make it BOLD for you

if you look, it says if the left side is an integer

then if we change the Numerator, the result is mx

Which it is

so for any m there, we will have an integer solution

IF X IS AN INTEGER

[alpine kindle]

oh you could have made this much clearer by literally saying a=1

[vivid loom]

a does not equal 1

it can be whatever you decide it to be, as long as its an integer, ive said this like 3 or 4 times to you

[alpine kindle]

what you're saying is that if (bn-c)/a is an integer, then a=1

[vivid loom]

were done here

a doesnt equal 1, it cancels itself out.

and maintains the fact that its an integer, if X is an integer

[untold sage]

do u think this is true for all integers m

[vivid loom]

it must be, If X is an integer

the question isnt about M thats proven. the question is X.....

[alpine kindle]

it cancels itself out leaving m(bn-c)
which isn't mx

[untold sage]

let a=b=n=m=2 and c=0 then u will see this is false

[vivid loom]

there are infintely many times this is false, and infintely many times it is true

youre both just wasting my time worrying about inputing values, when im asking about mathemtical principles

[alpine kindle]

what precisely do you mean by infinitely many times

[untold sage]

ok dude

[alpine kindle]

where it is true

[vivid loom]

ive already said this

If there is one solution for X, there must be infinitely many

there is a principle as to why X must have an integer solution , as long as a b and c are all integers

[alpine kindle]

no but i mean just a second ago

[vivid loom]

but youve taken this miles away from where the question was and turned it into some new hogwash which isnt even what i asked

[alpine kindle]

what do you mean by infinitely many times where it's true

what constitutes a time
is it a specific assignment of a,b,c,n

this isn't clear

from anything

are we missing context?

[alpine kindle]

@vivid loom i can help tangibly if you tell me what this means in the question

[vivid loom]

ive repeasted the actual Question 15 times

and you keep asking about variables that arent even part of the question

[alpine kindle]

what does it mean by "times" though

i know what you say the question is

[alpine kindle]

but you haven't explained what "infinitely many times" actually means

[vivid loom]

we need to prove that for a,b,c there exists some X that satisfies

doesnt matter what a b and c are. they are natural numbers thats all we know

[storm sage]

Lol

[alpine kindle]

but what does it mean by times in the question

[alpine kindle]

also thank you for fixing it

[storm sage]

also #❓how-to-get-help

[vivid loom]

i did that already

got an answer, asked for clarification and it closed

[alpine kindle]

look the question is ambiguous

could you like
contact whoever wrote it

[vivid loom]

its not ambigious at all, you are making it ambigious

if a b and c are natural numbers, can we find some x that gives a solution that is also a natural number

pretty straightforward

[alpine kindle]

then what do the "infinitely many times" refer to

[alpine kindle]

that's not the whole question

[vivid loom]

yes it is

we are asking solely about X

and you keep going to other things

[alpine kindle]

you've missed out

1. the fact that x = (bn-c)/a
2. the fact it has to be true infinitely often, whatever that means

[vivid loom]

1. the fact that x = (bn-c)/a

this is the only part of the question

can x be an integer

for any a b and c

if a b and c are also integer

[alpine kindle]

what about 2)

[vivid loom]

if there is one solution, there are infinitely many thats irrelevant, we just need to know there is 1 to know there are infintiely many. dont worry about that

[alpine kindle]

it clearly can't be
consider a=2, b=2, c=1

then for any n, x is still not an integer

[vivid loom]

we are only worried about whether x must have a solution by principle

[vivid loom]

that means nothing

there are plenty of occurences where there is a solution

[alpine kindle]

what do you mean by plenty of occurrences

what is an occurrence

[little vine]

I think it means there are infinitely many integer pairs (X,N) for fixed a,b,c that satisfy that equation

[vivid loom]

^

[alpine kindle]

ok but x is a formula dependent on N

[vivid loom]

who said?

[alpine kindle]

the question

it's in the question

x=(bN-c)/a

[vivid loom]

they are depenedent on each other

they form a pair

[alpine kindle]

ok

so

in that case

for a=2,b=2,c=1 there are no integer pairs (X,N) so there aren't solutions for an arbitrary a,b,c
simple disproof by counterexample

[vivid loom]

thank you

[alpine kindle]

who wrote the question

because the question text is implying that the statement is true

[tawny meadow]

To be honest, the issue I have with rate conversion is the squared and cubed rate conversions

[tawny meadow]

Well it took me some hours, but I finally figured out rate conversions

[errant ridge]

nice

good job

[vocal roost]

ok

[neat lintel]

ok

[errant ridge]

ok

[arctic grove]

ok

[ocean thorn]

ok

[light needle]

hey so i run a group incharge of LaTeXing books, and I am trying to make a dyslexia friendly counterpart of each book. Can I get opinions from dyslexic people about what to change, or simply if this version is good for you? Lets do it with one of the books

here is the main version: https://aareyanmanzoor.github.io/assets/hicks.pdf

here is the dyslexia friendly version:
https://aareyanmanzoor.github.io/assets/hicks-dyslexic.pdf

[errant ridge]

wow there's dyslexia friendly text??

[ocean thorn]

Shit man... youre doing some great work. this makes me happy

[bright hill]

yeah, there is this cool font which somehow makes it easy for dyslexic people to read

it's super cool

[errant ridge]

wow i wonder how that works

[cyan goblet]

increasing thickness on certain parts of a letter to give it a more distinct shape

to prevent confusion with another letter

[leaden sage]

its harder for me to read, not having dyslexia. sort of like person with good vision wearing glasses i guess

[bright hill]

you might wanna consider posting this in r/math or smth

[light needle]

hmmm good idea, will get more people there to comment on it i think

[bright hill]

I also thought of DMing everyone that ever posted "I'm dyslexic" but then thought that'd be a bad idea

[deep mango]

[ocean thorn]

do it from an alt account, nobody will know

[deep mango]

Ooh, now I can frame darq if I ever want to make him look bad

[errant ridge]

[errant ridge]

ryc can you give me the infinity role?

thanks!

[bright hill]

oh yeah?

and how are you gonna frame me?

are you gonna DM them manually one by one?

[errant ridge]

by making an alt account and saying it was you

dont worry i'll vouch for you

[bright hill]

suppose he creates an alt?

what next?

[deep mango]

[errant ridge]

[bright hill]

woooow

flawless plan ryc

I'm literally shaking in fear rn

[bright hill]

poll: which smug emote is better?

[neat frost]

Rycie bycie!

Hewwo

[arctic grove]

burry

[neat frost]

DarQ I fasted all day today

I have no time for your bullshit

Let me talk to rycie bycie

I got you to delete your post

1 : 0 slurp

[neat frost]

RCYIE

Good morning!

[deep mango]

This morning sucks

Its actually fine but

[neat frost]

Why does it suck

[neat lintel]

[deep mango]

I'm just very done with being outdoors and doing outdoorsy things all day for 6 weeks

[neat frost]

Oh? When do you return?

[deep mango]

2 days

Today we're gonna kayak for a while

[neat frost]

Oh?

That sounds like fun

[deep mango]

My mom rented kayaks even though I think it's too expensive and silly

[neat frost]

Enjoy doing outdoorsy things!

[deep mango]

But I guess I like kayaking

I know!

I usually do

It's just too much

And the last hotel we're in is very silly

We went to the hotel restaurant last night

[neat frost]

Vewy siwwy

[deep mango]

My food was very good

[neat frost]

Oh?

[deep mango]

There was live music

They came and put these dumb shell necklaces on our necks

I! Hate! Touristy! Things!

Argghh

So cringe

[neat frost]

Lmfao

Ryc

You’re like “I’m not like other girls”

But

“I’m not like other tourists”

[deep mango]

And then my mom got a freakin cocktail and made me have most of it because it was too syrupy sweet for her

And you got a tropical cocktail

What do you expect

I certainly dont mind having the cocktail

What i mind is her spending 14 dollars on a cocktail in the first place

[neat frost]

Wait your mom is with you in Hawaii? How come?

[deep mango]

So dumb

My mom and brother came for my last week after the conference

The conference was really nice and we were a lot less touristy during it

[neat frost]

Cock…tail….

[deep mango]

Except for the fact that everyone there liked using uber and I hate uber and all rideshare services

[neat frost]

Why

[deep mango]

Something about it is icky to me

Ofc I always tipped in cash and not through the app

[neat frost]

But why

[deep mango]

It's like

Uhh

Well it's a fairly predatory company for one

[neat frost]

Every company is

[deep mango]

I hate 3rd party meal delivery services, and uber also has one of those

[bright hill]

weren't you the one bitching about original joke a minute ago?

[velvet dagger]

Not at the level of Uber lol

[deep mango]

Which is why I usually use local businesses or larger businesses with relatively good policies if I have the leeway to...

And which is why I always use public transit over ub*r

Except you cant do that in hawaii all the time

[neat frost]

u***

[neat frost]

Cock…tail….

[deep mango]

And uber really was a lot more convenient than the busses

[neat frost]

Oh yeah but like the people who are employed at these businesses are also locals

[deep mango]

But I only used it when there were 3 or 4 of us in the car which made it very cheap

[modest rune]

as someone who dislikes more corporations

[bright hill]

weren't they going to go bankrupt coz of some law that allowed their drivers to be considered employees?

[modest rune]

uber really is

[bright hill]

lmao

[modest rune]

its own brand of evil

[deep mango]

They are not seeing a lot of the money though

[modest rune]

like uber is worse than most businesses by a lot

[deep mango]

For me its not about using uber so much

Like if i have to use it

I will use it, i am not going to just be stranded somewhere

But then I will tip relatively well in cash

[modest rune]

honestly that is a decent incentive for me to start carrying cash more

but i am at a point where I basically never need uber

[neat frost]

But why is that a reason to support them less

[deep mango]

For me the problem was that you have a group of like 25 very very smart people who are clearly caring and kind

[velvet dagger]

DarQ the impression I have is that they wanted to consider the drivers to be contractors rather than employees

[deep mango]

And every one of them is like "lol lets uber everywhere!!!"

[velvet dagger]

Presumably to not have to give them benefits or smth

[modest rune]

Its a delicate form of boycott

Because indeed a lot of people do rely on uber orders to make a living

even if they are being actively exploited

[deep mango]

Yes, I agree with that

Although from what I can tell

[modest rune]

the hope is that boycotting uber would force them to change their business practices before it would force people to lose their ability to support themselves

[deep mango]

I am very much not in the popular opinion here on being wary about ubers

[modest rune]

I am with you fwiw

[deep mango]

Among younger people at least

[modest rune]

well

tbh i think the young-people pro-uber case

is pretty similar to the like

vegetarian thing

[velvet dagger]

They probably aren't pro-Uber in the sense of yay what an excellent company

[deep mango]

What do you mean

[modest rune]

where people mostly accept uber because it really is insanely convenient

[velvet dagger]

Yeah exactly

[deep mango]

Hmmm

[modest rune]

Like people eat meat even when they think its wrong bc its so beneficial to them

[deep mango]

Yea

Yes

[modest rune]

I am lucky in that i have a car and walkable restaurants

[deep mango]

I do that

Lol

[modest rune]

so its really easy for me to be like

[deep mango]

And I definitely should not

[modest rune]

"fuck uber"

[deep mango]

Because it is so so easy to be veg in nyc

[modest rune]

but a lot of young ppl can't drive places

and US public transit sucks

[deep mango]

Yeah

[neat frost]

What about like all the other really exploitative companies? Why Uber in particular?

[modest rune]

They are also bad

[pure sun]

this is my issue

[deep mango]

I will be uncomfortable using them too?

[modest rune]

I avoid amazong and stuff as well

[velvet dagger]

Uber is one of the highest profile giga exploitable companies

[modest rune]

amazon*

[pure sun]

I don't drive and my public transit is not good

[velvet dagger]

And was relevant to this particular conversation

[neat frost]

What brand is your phone

[deep mango]

Samsung

[pure sun]

so like if I want to go somewhere farther than 3 miles away from me

[velvet dagger]

Slurp I don't see why you need to investigate people lol

[neat frost]

I’m not

[bright hill]

isn't a completely vegetarian diet more expensive as well?

[velvet dagger]

"What brand is your phone"
"I'm not investigating"

[modest rune]

slurp really out here with that one comic

[pure sun]

no

[neat frost]

It was for a POINT dami

[deep mango]

I do participate in it

[neat frost]

Smh

Anyway

[velvet dagger]

It's a stupid point

[deep mango]

I was just honest about that with the meat thing

If I'm inconsistent for being uncomfortable with using ubers all the time, thats fine

[tight comet]

Do you have a 'least exploitative company' or is there no difference

[bright hill]

bruh

[velvet dagger]

He literally even said that at times he uses Uber

[deep mango]

I'm happy to be inconsistent

[modest rune]

slurp about to be like "you can't own an iphone and also dislike exploitation and avoid it"

[tight comet]

gotta be super w0ke

[deep mango]

I would rather be inconsistently good than consistently bad!

[bright hill]

I thought that was the main reason vegetarianism isn't the norm

[pure sun]

rice, beans, fresh veggies are all so cheap

compared to meat

[modest rune]

The main reason is meat tastes good

i dont think theres any other reason that comes close

[bright hill]

[pure sun]

people like the taste of meat, and also they grew up with meat recipes and are too lazy or scared to find new ones

[neat frost]

I didn’t even make it yet

[full isle]

vouch

[modest rune]

Anyway! Many companies are exploitative and avoiding them is good! But also sometimes you do have to bite the bullet and buy things you know are made using unconscionable methods.

That is just kind of a sad fact about modern life

[sick kite]

Just cycle

[modest rune]

I couldn't really exist in normal life without a smartphone

[neat frost]

Anyway the point is is that every big company is exploitative and corrupt. That’s how they get big. So I’m curious why you’d focus on one and not another

[modest rune]

even though smartphones are all made by essentially slave labor

[full isle]

or become a noncaring person

[velvet dagger]

I have a fairly good guess what you're gonna say given how things have been going already, if only because the way ryc has been talking is fairly unobjectionable

[pure sun]

i dont feel comfortable cycling certain places late at night

[velvet dagger]

Exactly Slurp this is what I knew you were going to say

And it's dumb

[pure sun]

also, there isn't really any cycling infrastructure near me

[velvet dagger]

LIke

[deep mango]

Im always unobjectionable

[pure sun]

sometimes there's just a bridge with a 4-lane highway

and no cycle lanes

[velvet dagger]

He's not saying "Anyone who Ubers is evil evil person"

[full isle]

The oil industry is probably biggest example

[pure sun]

so it's like... what else can I do

[sick kite]

That's reasonable, I don't really have thst problem because I only really cycle to work and back on footpaths

[tight comet]

Do you have a solution or is this just a statement

[sick kite]

It's like 7 miles, 30mins

[full isle]

Most useful resource in world handsdown but exploitative in different ways

[pure sun]

yeah tha'ts really nice

I wish we had more pedestrian infrastructure around here

[velvet dagger]

He just doesn't like using Uber in a given circumstance where there's perhaps an alternative

[leaden sage]

at one grocery store I used to go to a lot some or all of the meat seemed more expensive than some of the basic morning star patties

[full isle]

public transportation is an alternative

[velvet dagger]

Like oh if this distance is walkable I'd rather do that over Ubering, so as not to support a company which is quite a lot more exploitative than most

[full isle]

but not everywhee has it

[neat frost]

Obviously everyone wants to feel good about themselves and feel like they’re moral people, but you’re arbitrarily choosing companies from the shit pile and in the end no matter what you do another shit company is going to take over and do the exact same thing. By boycotting a company like Uber are you really going to create change or are you just going to fuck over its employees?

[full isle]

no

i dont think anyone reasonably believes they will create a significant change

but it needs to start somewhere

[sick kite]

What's the alternative slurp?

[bright hill]

if you're being rhetorical, that's the dumbest thing you've ever said.
if you're genuinely being curious, small improvement is better than no improvement at all

[neat frost]

What improvement

[full isle]

however the situation is doomed in my opinion

so improvement will be negligible

[tight comet]

I don't even know if your context is Uber vs Uber-competitor or Uber vs public transit.

[sick kite]

We do nothing just because our single person impact doesn't make change?

[neat frost]

Hurting the company isn’t going to hurt its executives nearly as much as it’ll hurt the workers

[velvet dagger]

It's not even about improvement it's just a matter of, when he has a choice of using the bus or using Uber, and they're both somewhat convenient

[full isle]

this isnt ridiculous

we dont have that much time here and some feel like it isnt worth it

[velvet dagger]

Then he'll choose the bus

[neat frost]

And that’s totally fair

[deep mango]

Idk im also helping the bus drivers by utilizing their system and making it profitable

[full isle]

yeah it wasnt about improvements anyway

[neat frost]

That’s fair

[sick kite]

It seems like following the logic down leads to literally no action being immoral

[velvet dagger]

That's literally all that was said

[modest rune]

Yeah honestly not to be rude but this is just like

a reductive take that shows a pretty limited understanding

and some intellectual laziness

[neat frost]

Max just be rude I know you want to

[full isle]

no

some forms of boycott aren’t effective is the conclusion

a single chain store going on strike when there are many in the location isnt effective

[modest rune]

Avoiding using a service that I can find alternatives for is a good thing that costs me (and ryc) very little and makes a marginal difference. If that difference compounds it can make an actual difference

[pure sun]

it's impossible to stop all murder so we should all just start killing each other freely

[modest rune]

Of course, there is no guarantee that will happen

But on the flip side, if no one tries

[sick kite]

Slurp does there exist a form of boycott that is effective

[modest rune]

you can guarantee it won't happen

Now, historically boycotts have been effective!

Its one of the few ways to actually affect capital

[full isle]

to be honest

[modest rune]

And most importantly

[full isle]

im not sure id say most boycotts have been effective

[sick kite]

There is no way to get to point b (all locations going on strike) without point a first (one going on strike/suggesting the idea etc.) Is the point I'm making

[modest rune]

I think its like a silly conservative reactionary line

[full isle]

just the successful ones we hear about

[modest rune]

to see people doing what they can to make small differences

and say

[neat frost]

I meant more like why would you boycott a company for the sake of boycotting it. If you’re choosing an alternative that’s fine, that’s the reason why there are alternatives. But why actively reject a service for no other reason than to reject it?
I’m asking this from a purely theoretical standpoint because obviously if a company does some icky stuff I don’t agree with, I wouldn’t want to use its services either. But why would it make sense to do so?

[modest rune]

"everyone wants to feel like a moral person"

[full isle]

i never disagreed

i even agreed

[modest rune]

Luckily no one has said this

I just said that they have worked in the past

[full isle]

voting is an example though depending where you live

[modest rune]

and can be an important tool (among many!) for trying to improve the situation

[velvet dagger]

I mean the context was simply "I don't like overusing Uber where there are alternatives", I'm not even participating in the boycott discussion because I'm not educated enough on that point but as you can see even that is more nuanced than you seem to be painting it as

[modest rune]

Defaulting to uber and using it all the time when you have alternatives is just not ideal

Same with companies like amazon

[full isle]

but uber diamond + member

[modest rune]

I've been trying to avoid ordering anything on amazon that I can

[velvet dagger]

But the original context which led you to say "B... But all companies exploit"

[modest rune]

but sometimes amazon is the only place to get something in a reasonable distance

[sick kite]

You said 'no', to my statement that 'this leads to no action being immoral', which I ought to ameliorate, and instead say that 'this type of thinking leads to the downfall of the idea of moral responsibility', as given in bunchos murder example and my chain one

[bright hill]

fucking over its "employees" isn't as bad as you might think. If people's only choice is to drive uber or fucking starve to death than the situation is fucked in the first place. More likely, boycotting the company disincentivizes people from driving for an evil company which would lead them to looking for better economical opportunities

[modest rune]

Well

[velvet dagger]

"We were a lot less touristy except that everyone uses Uber which I'm less than fond of"

[modest rune]

the hope is more that like

[sick kite]

Um

[modest rune]

one could force uber to give up some of their more evil practices

[full isle]

i didnt say no to that

i said no to your conclusion that no action being immoral

[sick kite]

I think most people don't choose to work for uber

[modest rune]

I mean at the end of the day its pretty easy to rationalize never trying to do anything

because it is pretty likely that no individual will make a difference anyway

[velvet dagger]

And to jump from that to "Oh so you're boycotting Uber because they're immoral? What about X?" is a bit silly

[sick kite]

Yeah sure, so I amended it because I was being hyperbolic

[modest rune]

But many people would rather try than not

and its very telling when people instantly feel the need to point out that they think this is somehow fruitless

it says a lot more about them than the person who is at least trying

[full isle]

lol

uber or food

choose

[modest rune]

like if I die and my decision to avoid eating meat never made a difference

I would still do it all over again

[leaden sage]

choose lyft

[full isle]

bruh what the hell

you know dying sucks right

probably sucks

[modest rune]

sure

[velvet dagger]

No he didn't mean "If I die because I didn't eat meat"

[modest rune]

im not gonna die because i didnt eat meat

lol

im very physically healthy

[sleek wing]

veggietables overdose

[full isle]

isnt meat tasty though

[velvet dagger]

He meant "If I live my life as a vegetarian, and on my death bed an angel comes to me and tells me that had I chosen to eat meat freely, exactly the same number of animals would've died during my lifetime, I would still be happy with the choice"

[bright hill]

[full isle]

good translation

idk if that makes sense though

[neat frost]

True

[full isle]

if i die and angel is like alcohol isnt a sin

id be mad on fomo

[sleek wing]

alcohol isn't a sin it's god's gift to earth

[velvet dagger]

Well, idk if you can talk about this "making sense"

[bright hill]

they were about to go bankrupt coz their drivers were about to be considered employees so I'm not sure how feasible that is lol

[velvet dagger]

His point is that he's not avoiding meat because he is holding out for the possibility that fewer animals die

[modest rune]

alcohol isnt a sin but its a pretty mid tier drug tbh

lots of withdrawal and not that fun

plus it kills you pretty quick

[full isle]

it is a sin for some people

[bright hill]

what better alternatives do you propose?

[modest rune]

Uh

[velvet dagger]

Reading comprehension in this chat is at an all time low

[modest rune]

I mean, on an objective level many drugs are safer and have fewer side effects

[sleek wing]

MaxJ (the J stands for "based")

[modest rune]

I personally use thc

[neat frost]

I understand that, and I’d agree with that. But I’m confused to why

[modest rune]

I find it much more pleasant

[full isle]

probably malt

[modest rune]

no

wait

isn't Malt still ethanol

[sleek wing]

it is

malt whisky is a thing

[bright hill]

[modest rune]

then whats the difference between malt and alcohol on a sin level

[velvet dagger]

Slurp: personal desire not to participate in the meat industry when the alternative is easy

[full isle]

unfermented? i thought atleast

[modest rune]

Well the ethanol still comes from a fermentation process surely?

I don't know much about this

[full isle]

neither do i but id say unfermented malt drink is less sinful

sounds like a contradiction

[bright hill]

I wanna try acid ngl

sounds fun

[modest rune]

Be safe

[full isle]

ig ive only had non alcoholic malt

[modest rune]

but it is fun

[velvet dagger]

Sin is relative to a religion and I'm fairly certain you wanna be consulting religious scholars before making intuitive calls like that Mary

[modest rune]

can be fun*

[velvet dagger]

Unless you are citing learned folk already or are learned, but your tone def suggested here that you're going off vibes lmfao

[modest rune]

I very much want to walk a thin line of like

Being honest about what drugs are or are not unhealthy / enjoyable

and also not encourage young people to use them

But, if you're going to use mind altering substances

alcohol has been demonstrated to be a pretty bad choice

among the possible options

[full isle]

yeah

id say a lot are pretty bad

[sleek wing]

unfortunately it is by far the easiest to get a hold of

[modest rune]

That is the DARE approach

[full isle]

yeah true

[modest rune]

not if u live in california

Many drugs are dangerous, but not all of them

[full isle]

but i wouldnt ever suggest people use drugs for social reasons

[sleek wing]

I'd rather be arrested for growing the funny plant than live in california

[modest rune]

lol

[deep mango]

I think it's still the easiest but by a smaller margin

[full isle]

it is fun yeah but dangerous

[modest rune]

Well

but its not always that dangerous

[full isle]

true

[velvet dagger]

Some are quite dangerous, e.g. weed

[modest rune]

like the biggest dangers associated with THC are like, psychological panic which is usually fine if unpleasant

[full isle]

lol

[sleek wing]

weed is not that dangerous

[full isle]

bruh

[modest rune]

and then over long term usage

memory issues

[full isle]

weed can be dangerous

[modest rune]

and related stuff

[velvet dagger]

Dude weed puts you at risk of looking like a stoner

[modest rune]

lol

[full isle]

ye

[modest rune]

i look like a stoner either way

[sleek wing]

FUCK!!

[leaden sage]

its just liquid barley though

[modest rune]

Dami did I tell you about my new weed store

I walked in (looking as I do, hair down)

[velvet dagger]

No you didn't

[neat frost]

Wew doesn’t need any help with that

[modest rune]

and they said "welcome back"

the first time i had ever been there

[velvet dagger]

LMFAOOOOOOOOOOOOOO

[full isle]

add sugar i guess

[leaden sage]

ive had drinks like that, theyre not bad

[full isle]

weed is dangerous

[modest rune]

they saw me and didn't even hesitate

[full isle]

case 1

i took edible 4 days ago

and forgot how to get home

QED

[sleek wing]

slurp do you want illicit substances such as ||cough medicine|| and ||coke-zero||

[modest rune]

why would you take an edible without a good way of getting home lol

[full isle]

i made it but only after 4 hours

it was two turns

[modest rune]

I think the scariest thing with drugs

[full isle]

by walking

[sleek wing]

why would you even try and walk home while on an edible

[modest rune]

is how badly educated most people are

[sleek wing]

stay there and relax dudeee

[modest rune]

on the relative dangers and effects

[full isle]

i was relaxed

[modest rune]

Like i've met plenty of people who thought like

[sleek wing]

fairs

[modest rune]

weed and whippets

were equally dangerous

[velvet dagger]

We're very educated, we all saw the video that's like

This is your brain

[modest rune]

which is unhinged

[velvet dagger]

This is your brain on drugs

[leaden sage]

edibles don't mean you can't walk though

[velvet dagger]

And we had

No questions

[modest rune]

I am unironically kind of curious

about what religion considers alcohol a sin

but not weed

bc honestly

[full isle]

lol

[modest rune]

kind of based?

[sleek wing]

new religion: weedism

[pure sun]

this is gonna sound crazy but like

[velvet dagger]

Alcohol is explicitly not allowed in Islam, weed I think is generally seen to be sinful but might actually be controversial?

[pure sun]

the older i get, the more i understand prohibition in the US

[full isle]

Rasta

[pure sun]

like dont get me wrong, I do consume and enjoy alcohol regularly

[bright hill]

new

[pure sun]

i'm not like, a prohibition activist

[leaden sage]

you just realize how close you are to alcholism and its inherent dangers?

[pure sun]

but like... i get why the movement existed

[modest rune]

Yeah alcohol leads to like

a lot of domestic violence and other horrific stuff

that most other drugs don't

[leaden sage]

i feel the same way about other sorts of prohibitions

[modest rune]

at least, statistically

[velvet dagger]

Yeah I don't know the details on like, general mind altering substances in Islam

[full isle]

@velvet dagger i was raised by rastas but you wouldn’t call them learned folk

so i kinda didn’t respond to going off vibes thing

[velvet dagger]

Definitely medical marijuana is fine in Islam

[modest rune]

sick

and woke

[velvet dagger]

Because medical basically anything is

[modest rune]

medical lsd

(which is a real thing, although controversial i think)

[bright hill]

bruh

that's so based

[velvet dagger]

If that's a thing then tbh it'd fly

[modest rune]

lsd has shown promise in reducing certain types of migraines

[velvet dagger]

In Islam there's basically a "If it's actually necessary then the rules are relaxed" clause

[modest rune]

but its also the type of thing you can't use frequently in normal doses

[modest rune]

woke

[velvet dagger]

BUt yeah I think most people who say that marijuana is no bueno in Islam would prob do so by analogy with alcohol if anything

[modest rune]

look

all i am saying

is that all 3 abrahamic religions

[velvet dagger]

Like "oh the alcohol prohibition applies to anything mind altering"

[modest rune]

started with a burning bush

[full isle]

ig there is idea of moderate/social islam

[modest rune]

and if thats not an allegory

idk what is

[pure sun]

caffeine

[velvet dagger]

Hmm, I haven't looked that up at all tbh

[modest rune]

I mean most prohibitions on alcohol make a lot of sense from like a historical/agnostic perspective

like even if you don't think the rule comes from God

ancient era alcoholism

was horrific

[velvet dagger]

But yeah cigarettes, for example, used to be considered not prohibited but disliked because of bad breath

[modest rune]

woke again tbh

[velvet dagger]

And once more science came out that it's actually lethal

[pure sun]

yeah that's sort of what i meant max when i said like "i get why prohibitionism was abig movement"

[full isle]

are cigarettes prohibited anywhere?

[modest rune]

i mean in most of the US

[velvet dagger]

Scholars started saying it's not allowed under the "don't just outright harm yourself" rule

[modest rune]

woke

[modest rune]

I mean isn't it true that like

prior to the last century almost

people were just like drunk

all the time

[pure sun]

yeah

the prohibition movement was largely led by women whose husbands were just like

abusive alcoholics

[velvet dagger]

So yeah there is a chance, depending on whose interpretation of the rules right, that weed's all good but not cigarettes or alcohol, which is amusing to say the least

[pure sun]

(which was most women and most husbands)

[velvet dagger]

But I haven't looked in any detail so I'm not gonna say for certain

[modest rune]

this really makes u rethink all the anti-prohibition media that paints the illicit alcohol industry as like freedom fighters lol

[bright hill]

there is this whole thing in islam where god intentionally made the religion malleable to keep up with modern times

[velvet dagger]

Wait what are you referencing?

[modest rune]

me or darq?

[velvet dagger]

Darq

[full isle]

you mean belief

[pure sun]

yeah max i think it's strange how like, alcohol bootleggers during prohibition are almost like heroes now, but modern-day street drug dealers are like, painted as low-life

[full isle]

are you saying a belief in islam or belief that pertains to islam

[pure sun]

even though they're basically providing the same service, and weed is less dangerous than alcohol lol

[modest rune]

i cannot imagine what perceieved difference between bootleggers and drug dealers could lead to such a thing

[leaden sage]

idk if I thought of them as heros, considering people often talk about mobsters

[pure sun]

yeah i mean the war on drugs in the US was almost entirely racially motivated

[full isle]

techniques

[modest rune]

no

it was racism mary

[full isle]

and perception of skill

[modest rune]

the answer we were looking for was racism

[full isle]

im sure its both for sure

[modest rune]

well

i am pretty sure the reason the techniques are viewed as different

is also due to racism

[full isle]

its same reason why workers today arent called artisans or experts

[modest rune]

well, idk about that

[full isle]

it is

[modest rune]

I think that is probably more to do with like

Henry Ford and the modern production line

and the distance between your average worker and their product

[neat frost]

I’ll take some zero sure

[modest rune]

the artisan died with the creation of the modern factory

which turned most workers into replaceable parts in a big machine

[full isle]

but what about work not in factories or on machines

like construction workers

they are artisians

but we dont call them this

[velvet dagger]

Mary DarQ is saying that the religion is designed to be malleable so that as things became acceptable in society they would in religion? I think? But I'm not sure what the basis is for that

[modest rune]

Right sure. Thats a good point

[full isle]

also we call drug dealers plugs

if thats not an honor idk what is

[bright hill]

I don't think it has ever been explicitly said in sacred texts

but that's what the scholars agree on

[modest rune]

I think that the main issue with construction workers is also the fact that it is a large industry where machines are percieved as doing most of the work

like the person who does intricate interior decorations

is still considered an artisan

[pure sun]

i mean i think a lot of rules in religion were written down because they were the societal norms at the time

[modest rune]

Or things that people wanted to be societal norms

[bright hill]

not exactly

[full isle]

yeah im sure its a combination of both though

[bright hill]

some stuff aren't malleable

the stuff that were dictated by god and the prophet or whatever

[full isle]

like racism obviousoy effects views of jobs but so does the job itself

[modest rune]

yeah ofc

[full isle]

like drug dealing is pretty wide array of things

[bright hill]

but when it comes to modern things like Tabaco or weed or w/e scholars can just gather up and agree whether it's haram or halal or w/e

[pure sun]

here's my new theory on why religions prohibit mind-altering substances: the people who came up with the religions were having hallucinations (where they "spoke" to god) induced by mind-altering substances, and they didn't want others to have that "ability", because they wanted to be the sole "conduits"

[full isle]

trapping in a bando isnt the same as selling weed locally

[modest rune]

lol

in response to buncho

I mean, I think selling drugs is like

[pure sun]

thank you max

[modest rune]

as real and difficult a job as most

I don't think theres any reason to judge drug dealers as being lazy or bad workers

[full isle]

idk if thats common perception

[modest rune]

oh sure yeah

but again I would argue that that is classist/racist

moreso than anything else

and even the classism is largely racist because some drug dealers make good money

[velvet dagger]

That's probably true, though Islam did ban a lot of stuff people were chill with at the time. But what I mean is more that, did Islam suggest that as time goes on rulings change based not on new info but on societal shifts. That's more controversial

[bright hill]

uh

well

scholars often back up their verdicts with hadiths and quran

[velvet dagger]

Well, I don't know if that's a matter of religion being malleable so much as a matter of, we gain new info and that Islam doesn't punish you for what you don't know

So if I don't know X food item has pork and you do, it's allowed for me but not you, until I find out

[full isle]

Can muslims have artificial pork?

[velvet dagger]

That's how I view the tobacco stuff. People just didn't know it was harmful so at the time they were like oh it's just the bad breath

But now that we know it's harmful the relevant clause applies

[velvet dagger]

No idea

[bright hill]

probably not

[full isle]

What if we gmo pigs to grow chicken skin

and still call them pigs

flesh isnt skin

i misunderstood

[modest rune]

Weebly blogs are the official source of all theological doctrine

[bright hill]

I'm trying to find a counterexample

[velvet dagger]

This will become a tricky question imo, re synthetic meat

[leaden sage]

many things in the bible were in contrast to what was commonly thought or believed, like things involving money

[full isle]

I think a lot will be tricky

[velvet dagger]

Like I'm fairly certain there will be a lot of disagreement/philosophical debate among scholars

[full isle]

GMOing children plus food

[modest rune]

See my sentence after that unicode

which I am sure buncho would agree w/

[full isle]

im aure GMOing children is going to be outlawed

[leaden sage]

well thats a bit tautological at that point

[modest rune]

Like bans on usury were likely included bc the lenders of the era were awful

[full isle]

if i was kid id be mad i wasnt GmOed

[modest rune]

not that modern lenders aren't

tbh its really weird

how many christians are like

[full isle]

not unrealistic

[modest rune]

constantly engaged in usury

[full isle]

its going to happen in our lifetime

[modest rune]

which is one of the few things explicitly disallowed

[velvet dagger]

Usury is an interesting one. On the one hand it has a highly specific definition in Islam, and it's a huuuuuge no no

[full isle]

the deacon telling you to invest in jesuscoin

and pulls a pump and dump in the church

[velvet dagger]

Worse than any sexual sin, for example, by a long shot

But also it only applies to an exchange of the same type of currency

What

So the relevant Hadith is this

Someone gave some good quality dates to the prophet

And he's like how'd you get it?

And he's like oh I had n low quality dates and exchanged for m < n good ones

And prophet is like, don't do that again that's usury

Sell the dates for money, buy the new dates with the money

But if you have a specific type X of currency that's being exchanged (gold for gold, silver for silver) the quantities must be the same

That's the precise delineation of what counts as trade and what counts as usury

I think mortgage may or may not be controversial as a result? Like depending on how you spin it

Yeah that's basically what I've heard

[full isle]

I dont see the probpem with this

[velvet dagger]

I mean this was a specific story from the time of the prophet so the "internal to Islam" answer is that God said so

[modest rune]

the islamic forex market

[full isle]

but isnt this entirely reasonable?

[velvet dagger]

I'm guessing it's to make the boundary sharp

[full isle]

i guess it makes a point

[velvet dagger]

Like I don't wanna be making this call, feels like I'm speaking for God or something

[modest rune]

the issue is probably like

if you are comparing two goods of the same kind

[velvet dagger]

But it feels like this is basically intended to be anti-rules lawyering

[modest rune]

and someone walks away with a profit

then necessarily someone else lost out

and that is considered bad

whereas its much fuzzier

with goods of different kinds

(and even from a microeconomics perspective you can argue that no one loses out at any point in the exchange)

[velvet dagger]

Could be, my instinct is that it's also something to the effect of, idk nobody attempts to disguise actual interest as "Oh well quality tho" by some vague/manipulatable metric

Because in the case where there's an actual quality difference in the object, money becomes an intermediary to tell whether it's "actually different"

[full isle]

but like

if he didnt do it

then the prophet wouldnt get good dates

[velvet dagger]

I told you the workaround

[full isle]

and would need to wait for the exchange

[velvet dagger]

I mean the prophet doesn't put rules to his own personal advantage, it's from God

[full isle]

ye

[velvet dagger]

Like if he wanted he could've easily been like "A subset of charity goes to support me and my family"

Rather I'm pretty sure it's literally disallowed for him or his family to accept charity, to the point where if offered something he'd ask "Is this charity or a gift?"

[full isle]

oh that’s interesting

[brazen patrol]

Finally got a good 3D Farey sequence graph for tetrahedrons AAAAAAaaaaaaaand..... It's a 3x6 grid. 😫

I'm sure there are others to be found, but they probably won't be what I'm looking for.

[tender tulip]

Let A_n be a sequence of abelian groups linked by homomorphisms h_n such that the image of a homomorphism is a subgroup of the successive homomorphism's kernel, is there any significance to the quotient of the image of the nth homomorphism by the successor's kernel

it seems kinda useless cuz you can't really recover a group from a quotient and the subgroup that is the "divisor"

[neat lintel]

there is a balance to be struck between using as many symbols as you can, and using as many words as you can

[simple raven]

(you better ask in #groups-rings-fields )

[tender tulip]

i thought homology was topological in nature

[simple raven]

what do you mean with "significance" ? It's definitely useful

[sleek wing]

sounds split-exacty to me

[simple raven]

the general framework are abelian categories
it's used in a variety of contexts

[neat lintel]

if i had said "simplicial" or "singular" homology or something, sure. but the definition of "homology" is purely algebraic

i deleted the message because i misread your post

[green scroll]

in topology the quotient has the interpretation of measuring holes in a space

which i guess is interesting

ive heard homology you basically have to persist and not question stuff early on before you start seeing its use

[simple raven]

Algebra, topology, number theory, algebraic/complex/differential/… geometry …

https://en.wikipedia.org/wiki/Cousin_problems
you can solve Cousin problems with cohomology (or have some info)

[neat lintel]

it sounds to me like you meant to quotient the kernel by the image

quotient of the image of the nth homomorphism by the successor's kernel
so you're quotienting a group by a... larger group?

did you mean "quotient of the image of the nth homomorphism as a subgroup of the successor's kernel"?

because then you just get the homology of a chain complex (of abelian groups)

or cohomology whatever the only difference is the way the arrows go

[odd narwhal]

I am nothing

[coral mason]

what are the organic chemistry tutor's, patrickjmt's, michael penn, 3blu1brown's of cs? i'm going to be a cs major this fall but have little experience in cs and was looking for youtube channels to help with my educational experience

[wooden flax]

Colin Galen maybe?

[wooden flax]

So thats because like

[tender tulip]

i arrive

gtg (for a bit)

i'll check in later

[wooden flax]

yeah so basically the idea for why there is no bijection

oh

ill just type it out then

so if you take polynomials like x^2-p where p is prime

and then take S to be its splitting field

then you can show that the number of subgroups of Aut(S/Q) is uncountable

but the thign is

the number of subfields of S with degree 2 (over Q) is countable

which implies the result

i thought this was actually pretty interesting when learning galois theory

[low wigeon]

Currently I am double majoring in statistics/mathematics and my department requires the following classes to graduate with a BA in maths, the highlighted of which I have already completed or will complete next semester. Would it be worth trying to take the remaining content in the next 2 years to save ~30k over doing it in 3 years?

Primarily, I am concerned if only having spent 3 years in a math program would make me less competitive when applying to graduate programs in Statistics.

Also this would be solely for dropping statistics and getting the BA in Math solely.

[tender tulip]

strange how it's bijective specifically when it's finite

[wooden flax]

yeah kinda

some things get messed up in the infinite case though

[tender tulip]

Is there a way to show an extension is finite through category theory

or properties of homomorphisms

[peak tide]

only you can say whether the 30k savings is worth it... but be sure to weigh that against the fact that you may well be working for 30+ years, and consider what if any opportunities for more interesting and/or better paying jobs you might give up by dropping the double major... also, consider what you're going to do with the 30k in savings and whether that is worth more long term than investing in the additional education

(also take into account possibly an additional year of salary if you finish in 3 years vs 4)

[wooden flax]

Uhh not sure through category theory but it might be