#serious-discussion

1 messages · Page 462 of 1

fast ivy
#

It's from 1950 or something

surreal sapphire
#

just study some graph theory

blazing pawn
#

The newest one i know if is from 2007 i think

fast ivy
#

2007 stare

#

What is it about?

#

Man, I hope one day to be able to read some math papers.

blazing pawn
#

hyperbolic curves over finite fields are determined by their fundamental groups pretty much

#

isomorphisms of schemes are in bijection with isomorphisms of etale pi_1

#

the non finite case is much uglier to state opencry

fast ivy
#

Algebraic geometry memery stare

#

Is this from a paper?

blazing pawn
#

No

#

well i mean yea but i havent read it in the paper

fast ivy
#

Oh, what's the reference then?

#

I hope to learn some more AG in the future.

blazing pawn
#

Szamuely

#

do not read szamuely

fast ivy
#

Why tho?

blazing pawn
#

Bad book

#

Pedagogically

#

Read my paper instead once its done itll be better smugsmug

#

Jk probably dont

fast ivy
#

Lmao

#

Well, I am interested in the relationship between Galois Theory and fundamental groups/covering spaces of Riemann Surfaces.

surreal sapphire
#

moth is suffering so we dont have to

fast ivy
#

So his book seems interesting

blazing pawn
#

chapter 3 is ok

#

chapter 4 is where things start to get

#

Horrid

#

when you have 3 contradictory definitions of curves and apply results from each interchangeably without stating any of the details

blazing pawn
#

u will be able to read the paper if uve seen like Spec and the structure sheaf

fast ivy
#

Like a real paper? Or like lecture notes ?

blazing pawn
#

"real"

#

its just an expository thing im writing

fast ivy
#

Omg that's impressive

blazing pawn
#

Lmao hi nGroupoid

#

No it is just expository its nbd

#

though i understand these things much better now in the process of writing about them

fast ivy
#

Still, it's interesting that you can publish something at such an young age.

blazing pawn
#

Because now the details arent fucked

vivid halo
#

"publish"

blazing pawn
#

ill probably just put it on arxiv opencry

#

but i will tell colleges that this is "published" smugCatto

vivid halo
fast ivy
vivid halo
#

I would refrain from doing this imo

fast ivy
#

And I know the definition of a scheme

#

And that's about it

blazing pawn
#

Well what im going to say is "paper published on arxiv"

vivid halo
#

no I mean like

fast ivy
#

That's what I know about modern algebraic geometry

#

Basically

vivid halo
#

your first arxiv posting shouldn't be something expository

blazing pawn
#

Oh

#

Why hmmCat

vivid halo
#

I mean it depends on how original the exposition is

#

but like

#

you sorta don't want to devalue the quality of your arxiv postings early on

blazing pawn
#

This paper was written as an elaborate call out post.

limber perch
#

post under a pseudoname

bronze pelican
#

Arxiv is just preprints

limber perch
#

Moth Inshambles

blazing pawn
#

Uh would that really matter at my age

vivid halo
#

possibly not, but it could matter later on

devout nacelle
#

Jacob Scholze

bronze pelican
#

In what way could it possibly matter ngroupoid

blazing pawn
#

I feel like i have a lot of time to do serious things in undergrad

#

idk maybe im confused by what u mean by devaluing

bronze pelican
#

Ppl post their undergrad thesis to arxiv all the time

vivid halo
#

yea it depends on how original the undergrad thesis is

#

but generally it's like

bronze pelican
#

I don't think your arxiv history is that important

vivid halo
#

it kinda is

blazing pawn
#

by devaluing do u mean like people would be less inclined to take things i put on arxiv seriously

#

down the road

vivid halo
#

sorta

#

like the rule of thumb that kinda exists for arxiv is like

#

if you're posting expository stuff it's usually expository stuff that genuinely takes a very different approach to previous exposition

blazing pawn
#

monkaS

bronze pelican
#

Anyway moth, you can make a website and put your thesis on there if you don't wanna put it on arxiv

vivid halo
#

yea this is best practice

blazing pawn
#

sure i guess it probably doesnt really matter

vivid halo
#

and definitely have your letter writers speak to it

#

that's important

surreal sapphire
#

published on vixra

blazing pawn
#

(for college apps i mean)

vivid halo
#

yea

blazing pawn
#

my paper is novel and original because unlike szamuely it is correct :gigachad:

fast ivy
#

why the sully stare

blazing pawn
#

well i doubt there are any journals that publish expository work i could get this in and it almost definitely wouldnt be in time for college apps so

#

oh well

vivid halo
#

yea that's fine

#

it's more important that your letter writers speak to it instead

blazing pawn
#

I dont know if thats true for undergrad lol

vivid halo
blazing pawn
#

undergrad apps are funny

vivid halo
#

I mean at the same way it also doesn't matter that it's on a preprint server or not for this purpose

blazing pawn
#

i think if they take any of the things i do seriously my app would be impressive but its very possibly they will not take any of it seriously

#

some AOs are dumb and dont know the difference between arxiv and real journals

vivid halo
#

right and I mean you don't want to sell it as a real publication either

blazing pawn
#

smugsmug i dont think it matters what i sell it as tbh i kind of suspect they wont take it seriously regardless

#

but oh well

#

i guess we'll see

#

Not having any benchmark for how solid my application is is hard

vivid halo
#

yea I mean you don't want to be dishonest about it, since that can really backfire

#

your application is likely totally fine lol

#

I would just find a way to mention the project in your application without overselling it

blazing pawn
#

Im just putting it in on the list of activities which are like

#

100 characters each or whatever

vivid halo
#

yea that's fine

blazing pawn
#

maybe i will elaborate on one of the EC essays for harvie but that would be about like

#

the process of doing it

vivid halo
#

yea that's important

blazing pawn
#

not how good the """results""" are which 99% chance AOs would not be able to gauge anyway

vivid halo
#

imo that's more important than them possibly seeing that it's on the arxiv

blazing pawn
#

I hope so nozoomi

vivid halo
#

because 1) this means nothing to most people and 2) they won't read it, so they won't know anything about the process that went into it

blazing pawn
#

Yeah

#

I hope my rec letters are good

#

i have one from a columbia prof which i hope will be useful nozoomi

vivid halo
#

yea idk talking about the process of doing it is going to be more important than the finished product

#

and yea your letters will be fine lol

blazing pawn
#

the process of doing undergrad applications sucks so bad

vivid halo
#

haha wait until you get to grad apps

blazing pawn
#

Ok at least those are like. actually about the thing you want to do

bronze pelican
#

Grad apps were better than undergrad apps for me

blazing pawn
#

undergrad apps are stupid

bronze pelican
#

Better process

blazing pawn
#

its like branding type shit

bronze pelican
#

I still rememebrr one of the things undergrad admissions ppl emphasized is that "we are trying to build a cohort"

blazing pawn
#

yea

#

i have to draft another personal statement nozoomi

#

i am going to make one about sewing and how i am terrible at it :kek:

bronze pelican
#

I'm watching Ghost in the Shell and I have no idea whats going on

blazing pawn
#

Poggers

#

GitS is so good

bronze pelican
#

If you don't understand Ghost in the Shell, then you’re dumb. This is easy stuff.

stoic ice
deep mango
#

In my experience undergrad apps were a lot worse than grad apps

#

Stress and work wise

devout nacelle
#

3b1b has a podcast on Spotify, and there's BBC's A Brief History of Mathematics that I really liked.

latent forge
#

no

last oxide
#

ben, ben and blue was also p pog

#

sad they stopped PepeHands

#

but it was mostly about education ig

devout nacelle
bronze pelican
strange cradle
#

Hey, I'm soon about to take classes for the next semester, and I have a question regarding a specific class

#

Where can I ask you on your opinion regarding if I should take it or not

devout nacelle
#

This place is fine.

strange cradle
#

So I'd possibly like to take Complex analysis this semester, and here's the list of topics that we're going to cover:
Potential vector fields, curl, curve integrals, Green's formula
Definition of holomorphicity, holomorphicity of polynomials, Moebius transforms and  Riemann sphere
Holomorphicity of Laurent series, Cauchy-Riemann equations, harmonicity, harmonic conjugates, exponential function, complex logarithm
Complex logarithm, maximum principle, complex integral
winding number, Cauchy theorem, Cauchy formula, Morera's theorem, smoothness of hol. functions, hol. primitive functions
Taylor and Laurent series, isolated singular points
Residue theorem, Casorati Weierstrass theorem, Picard's theorems
Schwarz lemma, reflection principle, open mapping, Hurwitz theorem
Riemann mapping theorem, Poisson kernel and Laplacian
Riemann surfaces of mappings, cpvering spaces and analytic continuation
Little Picard's theorem, differential forms, Green's formula and d-bar equation, Runge's theorem
Functions with prescribed zeroes or poles, factorization, germs, Cousin problems and cohomology
Chain and cochain complexes, exactness, homology and cohomology gropus
Line bundles, classification of line bundles on Riemann sphere, homology and cohomology of spheres

#

What's bothering me is that I've taken multivariable analysis up to Fubini's theorem (for double integrals)

#

I haven't done stokes theorem

#

So I'm asking whether I can catch up on this with my current knowledge and not get blown out

cold needle
#

yes you can do it

#

dunno about the more indepth concepts u mentioned tho

fast ivy
#

You will do fine, you only need Stokes' Theorem to prove Cauchy's integral formula basically

#

And you basically just use the Green's formula version of it

strange cradle
#

Can I get the grasp of Stokes' theorem in 20 days 🤣?

fast ivy
#

Sure, if you are talking about the version of surfaces.

strange cradle
#

And not manifolds right?

fast ivy
#

There's a general version for manifolds which you would prolly need much more time to prepare.

#

Yeah

strange cradle
#

I see

#

Cool

fast ivy
#

You won't need to know any manifold theory a priori.

strange cradle
#

Manifolds are usually taught on graduate courses if I'm correct/

fast ivy
#

What I would recommend tho

#

Is some knowledge of real analysis

#

Mainly topological notions such as continuity, convergence of sequences

#

Also some knowledge about series of real numbers

strange cradle
#

Fourier series maybe?

#

Or just classical series convergence and stuff

fast ivy
#

Stuff like fundamental theorem of calculus, mean value theorem and so on.

fast ivy
strange cradle
#

Oh I'm comfortable with that 🙂

#

Thanks for giving me the good news heh

fast ivy
#

Do you know John Conway's book on complex analysis?

#

The second chapter covers the main topological notions you will need.

strange cradle
#

I'm at baby rudin level of topology

#

Is that enough?

#

Yeah it's enough

last oxide
#

this seems like a pretty indepth course

#

but if you took multivar analysis, I think itll be fine

#

is this a year course(

#

?

strange cradle
#

1 semester

#

I hope it won't last me a year!

last oxide
#

thats a lot to cover inna semester

strange cradle
#

I doubt it'll be hard to pass

#

I guess they're just preparing us for the graduate course in complex

last oxide
#

that seems almost like a graduate course
except it doesnt have much anal nT ig

fast ivy
#

I mean, we didn't cover anything about vector bundles or homology and cohomology theory at impa

#

tho like

#

we covered way more analytical number theory

last oxide
#

feels p much like a graduate course
everything after riemann and open mapping seems non standard in undergrad

#

well I guess some other things are standard

#

but not chain complexes

#

but I like how it looks
it seems to have a little focus on things required for PDEs too
which is cool ig

fast ivy
#

We covered covering spaces, monodromy and riemann surfaces at the end of the complex anal course I took

#

it's cooler catThin4K

bronze pelican
#

Paid 10$ to have this little portion of my shoe stitched

neat lintel
#

10 dollars is not that bad, but you could have stitched it yourself

crystal stone
#

I wouldn't be too worried about it

latent forge
#

ok choose a copy pasta

#

im going to submit one copypasta for each problem set I submit for an intro to CS class

strange cradle
#

I hate taking CS classes along with math classes

#

They seem like out of topic burden

wild jay
#

ikr

#

AK

last oxide
neat lintel
#

Only puny humans hate taking CS and math together.

#

Hulks see it as challenge.

leaden torrent
neat lintel
#

Don't you Sully me, I'm right.

azure kettle
strange cradle
#

hah

#

I think you haven't taken real math and cs classes yet (:

deep mango
#

to be perfectly honest, my worst semesters were the ones with both CS and math

#

Just

#

Too much thinking in too many directions

strange cradle
#

Idk my cs classes were less about thinking and more about memorizing

leaden torrent
#

@glacial vale did you get a scam DM? if so, the moderators will look into it. spamming every channel is neither helpful nor welcome.

#

(and pinging everyone 10 times is just obnoxious, even if this server has it disabled)

#

if you dont respond, i'm gonna assume you were acting in bad faith.

deep mango
#

We could write reference sheets for all our CS exams lol

#

Didn't help one bit

#

Fucking brutal

neat lintel
#

If a right triangle has a base of 40m, and an angle of 30. What is the height? Whoever answers first, gets $10

deep mango
#

30 what?

leaden torrent
#

gradians

tall badge
#

revolutions

bronze pelican
#

I did CS minor in undergrad

#

I procrastinated on all the assignments

#

And spent 48 hours coding session on the day before projects were due to submit them on time

neat lintel
limber perch
#

last sem of?

neat lintel
#

Angles

#

30 degree angle

#

bruh

smoky hamlet
#

does anyone know what the absolute value of x-1 is?

neat lintel
#

If x>=1 then it is x-1
If x<1 then it is 1-x

neat lintel
limber perch
#

oh math minor

neat lintel
#

The work used to be a drag, but when I think of what I'm going to do with what I've learned and the people I'll meet with the skills I've acquired, I just get excited.

limber perch
#

that's not too bad then

neat lintel
#

True, true. . . But I self study a lot , lol.

deep mango
neat lintel
#

.

deep mango
neat lintel
limber perch
#

30 archimedean furlongs

neat lintel
#

delet this, Alex.

#

I’m American so

#

30 nails

#

30 tumours

#

. . . . That is such an US thing to say. . . .

#

30 dicks

#

30 sticks

#

I'm not even mad, I'm just disappointed.

#

30 fingers

#

Eff it, gonna make my money and just do what Evil Morty did.

#

30 cosmdisfimisrfmosidmvowrfwefwefw meters

#

||jack shit, I'm leaving. LOL ||

neat lintel
#

||America : "GO BACK TO AFRICA GUAPPI"||

#

||Guappi : "Aight, bet."||

#

||America: "NO WAIT COME BACK.||

#

Wtf

#

Is this fan fiction

#

My set-up

#

Lemme p/m you to clear up the misunderstanding and what the actual. . . .

vivid halo
neat lintel
#

Alex, get that perfectly good toilet away from that filthy computer you heathen.

neat lintel
limber perch
#

I present to you the "I have no life" chair

#

yes, the inside has a toilet

leaden torrent
fast ivy
blazing pawn
#

Are you a fate fan mistersystem...

#

I didnt need this lore

#

😔

leaden torrent
#

ackshually melty blood is based on tsukihime

#

which is just part of the same setting as fate (the "nasuverse")

blazing pawn
#

Every tsukihime fan that likes melty blood likes fate

#

Literally all of them

leaden torrent
#

thats weird since tsukihime, unlike fate, is good

blazing pawn
#

Massive cope

#

Its not

#

KnK is the only good nasuverse property

leaden torrent
#

sorry you just have bad taste

blazing pawn
#

Considering what you think good taste is thats probably a good thing

leaden torrent
#

hey i know i like a lot of things that are objectively bad

#

thats a different matter

blazing pawn
leaden torrent
#

apparently the remake is actually good too

#

which is... surprising considering it was in development hell for 13 fucking years

#

sadly itll probably never get translated

pale orchid
#

tsukihime is good

leaden torrent
jovial ember
#

Moth thinking meltyblood is a fate game

#

Moth being completely wrong, what’s new

bronze pelican
#

This is not even radially symmetric

#

Radially symmetric means it has a symmetry group consisting of rotations

bronze pelican
#

Like, rotations do not describe the full symmetry group here. You need reflections.

#

Smh wikipedia

pale orchid
#

reflection isn't symmetric

#

a 180° rotation is, tho

stoic ice
#

Doesn’t look symmetric about an axis to me

bronze pelican
#

Tfw 180 rotation is a reflection

pale orchid
#

what?

#

are you on crack?

stoic ice
#

No

bronze pelican
stoic ice
#

It is a reflection about the center of rotation

#

But not about any axis

#

Take playing cards for example

#

The cards with people

pale orchid
#

show the reflection you mean, pt

stoic ice
#

,w queen of diamonds

fathom swallowBOT
stoic ice
#

Wtf?

#

I want a picture you stuoid wolfram

bronze pelican
#

Point reflection opencry

stoic ice
#

🤷‍♂️

bronze pelican
#

Reflections generate the full isometry group of the plane

#

Rotations, translations and glide Reflections are all compositions of Reflections

stoic ice
#

I don’t think composition work in symmetry

neat lintel
#

Group theory doesn't work

#

Sorry bois

pale orchid
#

pt memeing

bronze pelican
vivid halo
neat lintel
fervent bay
bronze pelican
#

I was actually a much better student as a undergrad than I am in grad school now

stoic ice
#

Makes sense

#

Grad should be harder innit?

sudden vapor
#

Hello 👋

stoic ice
#

Hi

sudden vapor
#

Mmmm I need help I'm very much scared of maths

stoic ice
#

How happy are you

stoic ice
sudden vapor
#

And my fear is increasing

stoic ice
#

Yeah that username is definitely a lie

sudden vapor
#

Idk why buy i can't understand a single question

stoic ice
neat lintel
#

welcome to math server hope you enjoy your stay here

#

AK

stoic ice
#

What math are you doing

#

Grade kg2?

sudden vapor
#

Mmm 9 th grade

stoic ice
#

For some reason my phone likes to autocorrect question to queen

stoic ice
uncut socket
stoic ice
#

Ngl that’s one sussy question

#

Idk

#

Mech and calc atm

uncut socket
#

Sounds awful

stoic ice
#

Thanks

#

That was really nice of you

#

I’m entering uni

#

Engineering

#

So the math I know atm is some mech and calc 1 and 2

#

Some statistics too

neat lintel
#

mech?

stoic ice
#

Mechanics

#

You know?

#

Free body diagrams

#

Newton’s law of motion

#

Work-energy principle

#

Those stuff

neat lintel
#

mathematical mechanics?

#

sounds like physics

stoic ice
#

Lol true

#

But it’s math

neat lintel
#

mathematical physics

stoic ice
#

I took A level math

timid spindle
stoic ice
#

It has mechanics

timid spindle
#

seems like mechanical eng?

stoic ice
#

I didn’t enter uni yet

#

But yeah I want aerospace

neat lintel
#

did u take a level further math?

stoic ice
#

I did

neat lintel
#

or just math

#

lol i thought you're into pde stuff

stoic ice
neat lintel
#

mk

stoic ice
#

I didn’t take calc 3 yet

neat lintel
#

suggest you read calculus on manifolds by spivak

stoic ice
#

All I know about pde’s is that there is a triangle that does some stuff

stoic ice
neat lintel
#

that's okay...

#

AK

stoic ice
#

Okay gtg

neat lintel
#

bye nkoHello

#

AK

outer lion
neat lintel
#

yeah that's one of the prerequisites

#

AK

outer lion
timid spindle
#

most engineering math isn't that complicated

neat lintel
#

what's engineering math? i only know pure math nkoGiggle

#

jk

timid spindle
honest phoenix
#

and some more more algebra

pale orchid
#

linalg, multivar calc, elementary real and complex analysis, and cookbook pdes

#

some basic counting technics and stats, too

neat lintel
#

different field has different pain

#

AK

pale orchid
#

i would say those are the basics for most engineering courses

timid spindle
#

I've never actually used derivatives in field work. It's all algebra in civil engineering.

timid spindle
#

but

neat lintel
timid spindle
#

that's as good as it gets.

timid spindle
honest phoenix
#

same but little bit sticky

neat lintel
stoic ice
#

Hi

deep mango
errant rock
#

i was learning to count

my sigma grindset kicked in much later

neat lintel
#

A googologist in the making

stoic ice
#

You better work on yourself more

neat lintel
stoic ice
#

Yeah I was planning to study multi var in Summer but I got lazy lol

stoic ice
#

Wikipedia lol

#

You mean where I got the info from?

neat lintel
#

Yeah

#

Wait

#

I got him confused with Newton

stoic ice
#

I think the the only reason school exists is the pressure not the teaching

#

Imagine mastering a subject before inventing it

#

It’d be super dope ngl

stoic ice
neat lintel
#

nice jojo pfp

stoic ice
#

Lol thanks

neat lintel
#

that might be the only anime I haven’t watched. The animation is a huge turnoff and I don’t understand why. I have watched other show with terrible animation.

#

its super good

#

i think the art style is awesome but i see why people feel indifferent to it

reef herald
neat lintel
#

bruh?

dusky quartz
#

me trying to do integrals with three hours of sleep

rare pond
#

Hello everyone, im trying to order a math textbook from the AMS bookstore. It wants me to make an account, but when I try it wants me to type my address and the drop down menu to select which state I’m in does not work. I have tried multiple OS/browser combinations. Very strange issue. Has anyone else has this issue or heard of anyone having this issue?

neat lintel
stoic ice
#

The same reason you should ping me about sth happened before they invented time

neat lintel
#

nice thing about math is that if your good at it you never be wrong

#

maths never wrong

neat lintel
#

hmm

#

u have a point

neat lintel
#

ur confusing me

#

were both confused

deep mango
neat lintel
#

What can a non math background person do with his math knowledge?

#

add on his fingers

neat lintel
#

numbers

#

counting on fingers better said

neat lintel
neat lintel
#

no

neat lintel
#

yes

surreal sapphire
#

generally the word mathematics in ancient greek means something like "the art of learning", so there is also the idea that teaching people mathematics helps them reason better about anything

pale orchid
#

as an example, i'm a "non math background person" who uses math to both offend everyone by being bad at it and to make nice ultrasound, x ray, radar, etc. images

neat lintel
pale orchid
#

not at all

#

i do signal processing

neat lintel
pale orchid
#

that's code for needing a masters and phd to be bad at statistics and linalg

velvet dagger
#

What if you're good at them? :0

#

You just need a bachelor's?

analog salmon
#

I saw someone with the hot take earlier that in the future, we'll be teaching Groebner Bases to undergrads like we teach them Gaussian elimination

#

very hot take

odd narwhal
#

So hot it reached negative kelvin

vivid halo
#

don't lol

vast surge
#

Cool thanks I won't.

swift steeple
#

toddlers can totally handle topology and algebraic structures and group theory
and babies can handle vector calculus and linear algebra and trigonometry
which implies kindergartners are doing vertex algebra and more abstract mathematics
and late on kindergarten, they would get Ph.D's
by 1st grade, they would be professors
or do research

#

before teaching addition, i force 2 year olds to study peano axioms, zermelo-fraenkel axioms, number fields and field extensions, etc.

#

after all...

surreal sapphire
swift steeple
#

too much mathematical rigor and abstraction is healthy for children

#

they need it to grow their tiny brains

#

also if it traumatizes them or smth, i'm not responsible

#

they need it

velvet dagger
#

What novelty

dry copper
#

Hyuck

sick burrow
#

personally I don't think we should teach kids how to add until they know enough set theory to rigorously construct ordinal addition from the ZFC axioms

bronze pelican
#

personally

sick burrow
deep mango
#

Nothing personnelly kid.

sick burrow
#

construct the naturals in analysis 1

#

what kind of analysis 1 class did you take Ultra

#

who constructs the naturals in analysis 1

#

at best you construct the real numbers

#

but what kind of analysis class isn't taking the naturals for granted

#

you don't

#

you're just given the naturals

#

ok just so we're clear

leaden torrent
#

constructing them is literally like

#

5 axioms

sick burrow
#

when you say analysis you mean the branch of math that covers the properties of the real numbers and functions on them and integrals and stuff

leaden torrent
#

depending on how you count

#

4 of them are super simple and 1 is induction

sick burrow
#

not set theory

leaden torrent
#

shush

#

showing N satisfies the axioms is easy

#

you know what i mean

sick burrow
#

where are you getting N from

#

how do you know sets even exist

leaden torrent
#

my analysis courses never constructed R but they certainly axiomatized and then constructed N

sick burrow
#

my analysis course did neither

leaden torrent
#

the von neumann ordinals were mentioned in an aside

sick burrow
#

but my analysis course was also shit

#

didn't even cover integrals

leaden torrent
#

you dont know sets exist, theyre a primitive

sick burrow
#

barely covered derivatives

leaden torrent
#

er

#

let me rephrase

#

you know they exist because theyre a primitive

#

no it only shows their existence is consistent ultra

#

god

sick burrow
#

no but when I say

#

personally I don't think we should teach kids how to add until they know enough set theory to rigorously construct ordinal addition from the ZFC axioms

#

I'm talking like Principia Mathematica kinda stuff

#

not just Peano axioms lol done

leaden torrent
#

i mean if youre using zfc its not hard either

#

principia is not zfc

#

principia is a lot more involved

sick burrow
#

well that's what I mean

#

zfc is easy mode

#

constructing them from zfc is for the remedial students

#

the advanced students need to start by rederiving language

leaden torrent
#

i was reading Russell the other day and he used the word "set". i was like, daddy russell, how could you do this to me? your theory's supposed to be a type-theory-kinda-except-not-really! was what i read from a programmer's blog on HoTT wrong???

#

i figured my sarcastic tone would be fairly clear

#

should i have added more exclamation marks

#

perhaps a :smug:

#

oh no i forgot, discord stole my goddamn :smug:

#

im quitting this platform

#

does parler have :smug:

sick burrow
sonic sentinel
#

The existence of God only implies the existence of God.

leaden torrent
#

God → Con(ZFC)

#

(here "god" means in godels ontological sense)

#

the paper, despite the ??? typesetting and cranky claim

sick burrow
#

(the stupid sense)

leaden torrent
#

is legit

#

which is absolutely hilarious

#

honestly im in the wrong field

#

i dont get to call anything

#

"divine"

#

all my adjectives are boring

neat lintel
#

The Final Proof of the non-Existence of God was proved by a Babel Fish.

Now, it is such a bizarrely improbable coincidence that anything so mind-bogglingly useful could have evolved purely by chance that some have chosen to see it as the final proof of the NON-existence of God. The argument goes something like this:

"I refuse to prove that I exist," says God, "for proof denies faith, and without faith I am nothing."

"But," says Man, "the Babel fish is a dead giveaway, isn't it? It could not have evolved by chance. It proves that You exist, and so therefore, by Your own arguments, You don't. QED."

"Oh dear," says God, "I hadn't thought of that," and promptly vanishes in a puff of logic.

"Oh, that was easy," says Man, and for an encore goes on to prove that black is white and gets himself killed on the next zebra crossing.

pearl escarp
deep mango
#

It's very good

#

I have the full thing sitting right there on my shelf

toxic schooner
sick burrow
#

I just started rereading Hitchhiker's Guide a few weeks ago and yes it is very good

sick burrow
#

it's a book series

neat lintel
#

Math?

untold sapphire
#

no lol it's just comedy

#

humor

neat lintel
#

That 42 thingy?

untold sapphire
#

yeah, that's the book.

quiet geode
#

Is it ok to ask questions here?

fringe needle
quiet geode
#

Not exactly a question tbh

#

Theoretical query

cold needle
#

???

quiet geode
neat lintel
quiet geode
#

What

neat lintel
#

What are you asking?

cold needle
#

i feel like this book is familiar

quiet geode
#

Im yet to disclose that

quiet geode
#

So

#

I wanted to know how introducing another variable 'b' makes the case "particular"

#

Like how is it different from choosing an arbitrary point 'x'?

#

Is this not the right channel to do that?

cold needle
#

this is not the right channel

quiet geode
#

Well ok

#

I thought #questions was all about asking problems from exercises

neat lintel
#

My response is not getting displayed I think.

quiet geode
#

It is not

neat lintel
#

@cold needle : What's the red color coming across my response.
Am I muted?

#

it means your message didnt send

#

try resending

neat lintel
cold needle
#

yeah must be some internet issue

neat lintel
#

discord is a piece of shit app that likes to stop messages from sending every once in a while

quiet geode
#

Network issues

cold needle
#

lmao

neat lintel
#

spanish

cold needle
#

spanish

neat lintel
#

spanish

#

Are spanish ppl are called Spaniards?

quiet geode
#

So whats the point of saying that?

#

No

#

Theyre called spinach

neat lintel
quiet geode
#

How does that makes it "in particular"

neat lintel
#

Sorry, discord making me do more mouse moves.

pale orchid
#

metal spaniard moment

#

i didn't know

quiet geode
#

Ok

cold needle
#

i am indian

#

i dont

#

i just

#

spanish

#

yea

#

dont worry about it

pale orchid
#

visible concern

neat lintel
#

actually metal, i will not worry about it. i will respect your boundaries and inquire no further

pale orchid
#

ninja metálico veintisiete

quiet geode
#

Meow

devout nacelle
quiet geode
#

Feels like breaking the rules is way more convenient way to get your queries resolved

pale orchid
#

or banned

sick burrow
#

then you just come back with an alt

#

that's what Namington does

#

except he does it even when he doesn't get banned

#

fun fact: half of this server is just Namington alts

quiet geode
#

Bro that was just an honest feedback

sick burrow
#

suure

devout nacelle
neat lintel
cold needle
#

trueeee

pale orchid
#

ciertoooo

thorn brook
#

ninja-de-metal27

neat lintel
#

toki mfkin doki

pale orchid
#

toki-de-doki

thorn brook
#

ed-d-de

quiet geode
#

Petition to gib sat_3 server owner

neat lintel
#

How do I bcm a Mod?

quiet geode
#

Guy managed to understand my bullshittery without losing their temper

magic meadow
compact tartan
sick burrow
blazing pawn
#

Moment

neat lintel
crystal stone
crystal stone
#

Does that count

vast surge
#

Algebraic curves sounds fun though

crystal stone
#

Yeah but I hate algebra

vast surge
crystal stone
#

Algebraic curves made it bareable

#

Don't you sully me

deep mango
crystal stone
#

This is well-known in the discord

#

That I'm not a big fan of abstract algebra

vast surge
#

I am aware. It is still sully.

crystal stone
#

Sylow Theorems are awful

fervent bay
#

i agree

crystal stone
#

Classify all groups of order xyz

#

Wow how fun

#

I sure am learning a lot of math!

vast surge
#

You do like three of those exercises and then move on to more interesting stuff.

crystal stone
#

Algebra is only fun when some other subject is tossed in

#

Like topology

#

I more or less think the same thing about real analysis, it's only fun with fourier/PDEs

vast surge
#

You know that's fair half the reason I like algebra is that using algebraic methods to solve problems from elsewhere is just really cool.

crystal stone
#

But Complex makes real more bareable

#

Also Algebraic Geometry is so cool

#

I wish I understood it

#

Why do you Sully me Ryc

vast surge
#

I'm reading Cox, Little, O'Shea right now and it's a super accessible intro to AG and commalg.

deep mango
#

moonbears crank reveal

crystal stone
#

I read through Fulton's algebraic curves

deep mango
#

real analysis bad sotrue

crystal stone
#

and did some stuff on Riemann Surfaces

#

I don't think it's bad

#

I just think it's kinda dry

vast surge
#

Oh okay yeah that's a bit more advanced AG than what I'm doing now.

crystal stone
#

At the intro level

#

Kinda like point-set topology is bleck

vast surge
#

All math is slightly dry at the intro level, at least compared to the upper levels.

crystal stone
#

I tried reading my final project for topology today

#

My head hurt

vast surge
#

Other than real analysis. The best parts of that course are when you spend the first few lectures screwing around with Dedekind cuts, the most fun and intuitive construction in all of mathematics.

crystal stone
#

How tf did I write that

wild jay
#

yy

crystal stone
#

And did some special function stuff

#

Then applying it to number theory (in a different course)

#

Was a lot of fun

#

I'm TA-ing for point-set topology at my university right now

#

The professor took topology back in 1995, and hasn't touched it since

vast surge
#

That sounds like hell.

crystal stone
#

So she's havin' a hard time

crystal stone
#

I had to take point-set topology 3 times

#

well, I choose it once when I shouldn't've

cinder roost
crystal stone
#

In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology.
The funda...

cinder roost
#

it be difficult?

crystal stone
#

I suppose that's up to you

cinder roost
#

well, isn't almost everything in that case

crystal stone
#

Yes

latent forge
#

astonishing

#

does anyone have any stories about a time someone in humanities major surprised you?

swift steeple
#

abstract algebra is OP and good

crystal stone
#

I'll let you decide for that one

swift steeple
#

i'll assume abstract algebra

#

because who tf likes high school lvl math?

crystal stone
#

I like it

crystal stone
#

I enjoy HS lvl math, and working with students through it

swift steeple
#

because no interesting stuff

#

and also because it's basic

crystal stone
#

I think there's a lot more to it

#

Than you'd firs tthink

swift steeple
#

like what? complex numbers?

#

calculus?

crystal stone
#

No, even factoring quadratics

#

Is interesting

jaunty gate
#

Id have to disagree with you on that MoonBears

crystal stone
#

It's ok to be wrong

#

And you're both in the wrong here

jaunty gate
#

Do you enjoy repetitive menial tasks?

swift steeple
#

factoring quadratics is just doing something to get the solution(s) or prove something

#

it's boring

#

and has no other purpose imo

crystal stone
#

Hrm, and have you taught factoring quadratics?

jaunty gate
#

Yeah

crystal stone
#

Have you learned the historical development

crystal stream
#

why do teachers who work with high school students spend so much time on quadratics

#

like

swift steeple
crystal stream
#

just complete the square lol

jaunty gate
#

Iv'e done a fair bit of teaching

crystal stone
jaunty gate
#

/tutoring

swift steeple
crystal stone
#

How does it lead into modern mathematics?

crystal stream
#

lemme actually

#

look that up real quick

swift steeple
#

= is =

jaunty gate
#

My enjoyment of math doesn't come from repetitive tasks, it comes from having to think/find a solution

crystal stone
#

I think it's interesting to think about

jaunty gate
#

Highschool maths for the most part is the first part

swift steeple
#

and ideas

crystal stone
#

How many different ways can you solve the same problem, how many ways can you interpret it

swift steeple
#

and proofs

crystal stream
#
According to the VNR Concise Encyclopedia of Mathematics, the equal sign was invented by Robert Recorde, the Royal Court Physician for England's King Edward VI and Queen Mary. Recorde, who lived from 1510 to 1558, was the most influential Welsh mathematician of his day and, among other things, introduced algebra to his countrymen
jaunty gate
#

Proofs require thought

#

Often collaboration

swift steeple
crystal stream
#

but tbh there are more interesting problems where that principle can be applied

crystal stone
#

And they tie into different parts of Math

#

It's interesting to think about

#

How much is embedded in so little

swift steeple
#

or history in general

crystal stream
#

solving something that could be done with a calculator or with a formula doesn't seem particularly motivating for a student that does't already love math

crystal stone
#

That's why I try to motivate it when I lecture

crystal stream
#

I mean, I find it cool, but most don't

swift steeple
#

then it gets interesting

crystal stone
#

I try to make it more natural, where the answers/questions arise naturally from examples

crystal stream
#

I tend to do derivations when teaching

#

but I work with friends my age

crystal stone
#

It's like crafting a historical narrative

crystal stream
#

who are already at university and give more fucks

crystal stone
#

I have to lecture 8 hours a week at a university for the remedial algebra

swift steeple
#

i usually require proofs and use too much abstraction and mathematical rigor lol

crystal stone
#

I have great freedom in what I do, so I get to have fun with it

swift steeple
#

no wonder i'm bad at teaching

jaunty gate
#

I don't teach the way i'd like to be taught

#

Doesn't work

crystal stone
#

You have to motivate the proofs or the techniques - you have to pull them in with leading questions

latent forge
#

is remedial an insult

crystal stone
#

And it ties back in to other parts of math they already know

swift steeple
latent forge
#

a big word to mean slow

#

or is it different meaning

#

ive only seen it twice

crystal stone
#

Sorry they didn't pass it the first three times

#

Or maybe they did but didn't learn

latent forge
#

oh it says for learning difficulties people

#

where are remedial analysis classes when you need them

crystal stone
#

I have freshman that can't add 1/2 + 1/3

latent forge
#

its not uncommon

crystal stone
#

Freshman at a university

latent forge
#

im going to go out on a limb and say half the population cant do that

#

world population

swift steeple
#

and i'm wondering. why aren't schools letting Ph.D's and actual experts teach? why can't mathematicians teach school for kids?

latent forge
#

they probably dont apply to those jobs

crystal stone
swift steeple
crystal stone
#

And have no training in being a teacher

latent forge
#

ask your mom

swift steeple
latent forge
#

she probably cant do it

#

moonbears

crystal stream
#

i'm not sure how good terry would be at teaching high school students

latent forge
#

troll spotted

crystal stream
#

probably pretty good

crystal stone
#

Terry's pretty good actually

#

He was very nice in office hours

latent forge
#

who terry

crystal stone
#

Terry Tao

swift steeple
#

field medalist

#

12-13 year old IMO gold medalist

#

math professor at UCLA

crystal stone
#

Bill Thurston was on some math outreach journal thing

crystal stream
#

i've watched a lecture of his about primes

jaunty gate
#

Just because you're good at something doesn't mean you are a decent teacher for it

crystal stone
#

I'm not limiting it to that, I'm just addressing the issue in having mathematicians teach grade school and up

latent forge
#

Most people trained professionals arent trained at explaining

jaunty gate
#

People often mistake the two

swift steeple
#

makes no sense

latent forge
#

moonbears he is trolling

deep mango
swift steeple
#

just let experts teach

latent forge
#

pls dont take bait

crystal stone
#

I'm against teachers licenses also

deep mango
#

Terry taos teaching is fine but i wouldnt say its amazing

#

He's very fast and frantic

crystal stone
#

||The best math professors I've had are at CSULB||

latent forge
crystal stone
#

Those guys are fucking amazing at teaching

#

No terry rushes a lot of things

stark kraken
#

I need help

#

what's the subset of an irrational number

deep mango
#

He just lectures like he's trying to get somewhere

swift steeple
deep mango
latent forge
crystal stone
#

This was my topology professor @deep mango

#

Look at these reviews

#

They are ridiculous

stark kraken
deep mango
#

Aww, that's nice

crystal stone
#

This was my algebraic curves prof

#

This was PDEs - the first review is hilarious

#

Professor VB is a cold stone fox. Very attractive man with his smooth, soft face. Despite his gray/white hair, he is a total babe. (Maybe in his mid 30s?) His personality at first seems cold and isolate to student but as the time progress, he started to show his bright side by started telling his funny/ embarrassed stories. Love that professor!

#

These guys were like at the pinnacle of teaching

crystal stone
#

Than he is lecturing

#

Cuz then you can ask questions, get one on one help and see how to solve problems

deep mango
#

yeah he was really good talking one on one

#

a lot less frantic

#

i was expecting it to be like a bulldozer

crystal stone
#

He just has too much planned for each lecture

#

I think he structures his classes so that office hours are almost necessary

crystal stream
#

he sounds really excited when he talks

#

or maybe that was just on that one video

crystal stone
#

No, he goes very fast

#

At least he did in 246C

crystal stream
crystal stone
#

I heard his Fluids class was ridiculous

mellow moon
#

In which sense

neat lintel
#

I am planning to take up a challenge to excel in a math field in 6 month.
What do you suggest, if I can give 2 hours a day? 🙂

#

I am a good grasper.

wicked ore
#

Yo I heard Russell’s paradox about sets containing themselves

#

Maybe this is a dumb question, but how could a set contain itself?

#

Ok to fully understand the paradox would I need an understanding of formal logic and stuff like that

#

Cause I have no idea what an unrestricted comprehension is

fringe needle
wicked ore
#

Well my intuition tells me that’s impossible because it would contain infinitely many nested copies in itself. But I feel like in this context there’s no such thing as infinity or nesting, and the only thing that matters is sets and properties

#

Oh that’s not so bad

#

Haha to understand, I mean

#

But yeah

#

Ah

#

So Russell’s Paradox is about showing that allowing unrestricted comprehension leads to a contradiction?

#

Ah that makes sense

#

“Comprehension” in this case refers to the rules about what P(x) can be, right?

neat lintel
#

Since I don't know which topic in math I should choose to study, what I am planning to do is first go through
Mathematical Methods for Physics and Engineering book(I am interested in physics too) and later choose the topic that interests me for further studies.
What do you think about this method?

wicked ore
#

Sick

#

Ok wait what do you mean when you say “restrict comprehension to subsets of already-known sets”

sick burrow
#

yeah "sets can't contain themselves is just Foundation, right?"

#

or like an equivalent form of it

#

and Foundation is really only there for convenience since any model of ZFC without foundation has a submodel where Foundation holds

wicked ore
#

Ohhh

sick burrow
#

wait a second I feel like I forgot something

#

what if your model of ZFC without foundation is just ZFC?

#

*a model of ZFC

#

but then doesn't your model contain a submodel of ZFC?

#

violating Incompleteness

#

right

#

but Incompleteness would need a proper submodel

#

or rather a set model

#

nothing I just momentarily forgot how set theory worked

#

WF is well-founded sets right?

#

that's the submodel you take?

#

but it's not a set model

#

is it ever a set model?

#

Wait how do you use the Mostowski collapse again?

#

when I say set model I mean it's a set in the model of ZFC

#

take some model M of ZFC

#

take what M "thinks" is WF

#

is that ever a set in M?

#

oh duh

#

I was going to say "no because WF contains ON"

#

but I feel like that's a bit more elegant

#

idk

timid spindle
#

🤞 ZFC

quiet geode
#

Wanted to know if theres enough information to solve this problem

fair tinsel
#

If you replaced the R in your name with a D and remove the Pang your username would be perfect

quiet geode
leaden torrent
#

no its equivalent to ch

#

serious answer: yes theres certainly enough info

quiet geode
#

Damn

#

I must try harder then

#

Thanks

leaden torrent
#

first semester combinatorics

quiet geode
#

isnt this super lengthy?

leaden torrent
#

no

#

1 liner

#

think of the negation

#

there are 18 people not doing swimming, 14 not skating, etc.

#

compute the maximum not doing at least 1

quiet geode
#

Well i actually went in that route

leaden torrent
#

$\abs{a \cap b \cap c \cap d} = 60 - \abs{\overline{a} \cup \overline{b} \cup \overline{c} \cup \overline{d}}$

fathom swallowBOT
#

Namington

quiet geode
#

Why m i never confident whenever it comes to negation

#

It was actually the first thought that crossed my mind as soon as i saw that problem

#

Yeah

#

So

#

What if

#

Some of the people who dont swim also dont skate or tennis or bowl?

#

By looking at the answer, i know i shouldnt be worried about this case

#

But still i am

leaden torrent
#

we're thinking of the maximum

#

that will not occur in the maximal case

#

in the maximal case, we can assume everyone is perfectly arranged so that the sports they dont do dont overlap, so long as there are enough people (pigeonhole)

#

the sum is less than 60 so thats valid here

quiet geode
#

I didnt get it

#

Minimum number of people who play all 4 sports = Total - Maximum number of people who dont play all 4 sports?

#

@leaden torrent

leaden torrent
#

yes.

quiet geode
#

Why do we have to assume that theres no overlapping?

leaden torrent
#

its a safe assumption since we're looking for a maximum

#

if theres an overlap, it wont be the maximum

#

since we could swap out one of the students in one of the sports to get rid of the overlap

#

(caveat: we need enough students to actually do this, so if there were, say, only 30 students, this wouldnt work)

#

(but in that case the answer is trivially 0)