/sci/ - Science & Math

It’s better if robots do the work but it’s a human interest too

>>15100892
Studying useless shit is caused by low testosterone. That’s why only 60% of math majors are men and 80+% of engineers are men. If you are high testosterone you don’t give a fuck about learning things that don’t matter like number theory (lmao) and sociology. If you want to pass on your genes as a man you need to actually be useful.

>>15100999
>Studying useless shit is caused by low testosterone.
I told you thusly! I sooo told you thusly!

>>15100999
retard. all of your applied maths used to be pure math.

fuck em lol

>>15100892
Because fuck you, that's why. I'll study whatever useless thing I want, and there's nothing you can do to stop me.

>>15100999
>If you want to pass on your genes as a man you need to actually be useful.
How many genes have you passed on, mister useful guy?

>>15100892
cringe

? Topology is extremely useful and pretty much one of the fundamental fields, same tier as set theory

>>15101677
when is it useful

>>15101677
bait

>>15100892
You can view topology as a generalization of preorders to infinite sets

Topology is anything but useless. I don't get why engineers are obsessed with claiming that math and natural sciences are useless while studying things pioneered by mathematicians and scientists and doing a dead-end job creating nothing permanent; all the technology you flush out will eventually be replaced by superior technology, but discoveries in math and science have permanence.

>calling topology useless
Tell me you're a social "science" / philosophy major without telling me you're a social "science" / philosophy major.

>>15101612
>there's nothing you can do to stop me.
your empty wallet will do that.

>>15100892
topological arguments are very sexy

>>15101613
all 24 chromosomes worth of them, mister

x

The short answer is that OP is extremely dumb.
The long answer is that topology (in particular, real continuous functions and their topological properties) is the among the first—and the first in my experience—ways to decisively embarrass the OpenAI chatbot.
Specifically with the "compare continuous functions to functions such that the inverse image of every open set is open" trick. This selects mathematicians from humans, and the AI just spews nonsense gibberish that no human nor mathematician would ever come up with, proving that AI is a source of mindless gibberish in the math classroom.
It could have been something else, but it was topology, at least for me.
That's useful.

>>15105154
here we go
or, as they say on the interbutts,
>boom goes the dynamite

How do you quickly filter AI chatbots?
Start talking about topology, continuous functions, and open sets.
Now you say
>oh, it's useless because we would have found something that serves that purpose anyway
Now anything that could possibly be useful is useless because in theory you could find something else that could be used as a substitute.
WHAT.
>THE.
ACTUAL.
>FUCK.

>>15101169
Nah. Most of that analysis was originally applied math for physics and various applications. It started to be turned into a pure math subject around the time of Weierstrauss

>>15105172
Moreover, if you say
>Quickly filtering AI chatbots isn't useful, at least not outside research
Then you both confine yourself to a non-research role and suggest that ways to deal with the substantial effluent of so-called "artificial intelligence research" is less important than it really is, and it isn't all that important, but it's important enough to enough people to warrant serious consideration.
You have to take an MTV approach to education philosophy to get here.
You aren't considering the hazards presented by worlds we don't experience, such as the possibility that it took a lot longer to develop ways to quickly and decisively embarrass a chatbot that claimed to possess some sort of intellect.
Regardless, topology won this informal game or fox hunt.
This isn't news; it's simply a matter of my own experiences, but just like "coq proof of false" it is an important milestone that delineates the boundaries of math, computers, and education philosophy

>>15100892
mathematicians are based
you are cringe

>>15103669
>Topology is anything but useless.
Examples?

>>15105172
>coping this hard

Here's an example of how exasperating these chatbots can get. Even children aren't this annoying.
It's like these "automated intellect/logic" brands are all shilling and covering for each other.
it's maddening.
It's MAD, I say, MAAAADDDD!!!!

>>15105225
>implying you aren't coping with "artificial intelligence" chatbot effluent
obviously you aren't a mathematician

>>15102139
Literally any time you want to talk about continuity.

>>15105227

Part of what makes topology useful is that it seems useless since its primary use is a first stepping stone for testing out a given axiomatic system, i.e. it's like an operating system for an axiomatic system.
>Why do programmers study useless things like operating systems?

>>15105237
It's useful for testing out axiomatic systems.
>Oh, but axiomatic systems aren't useful, so it's only useful for testing things that aren't useful.
Regardless, we've established that topological spaces aren't important to you because you don't have enough axiomatic systems.
if you had enough axiomatic systems, then you would see topological spaces and their properties as natural tests for properties of axiomatic systems
so we can conclude that OP is deficient in axiomatic systems, as he has no use for topological spaces

>>15105228
Right, because I don't want to be a useless

>>15105244
Tychonoff's theorem is an example of something that's really fucking important.

>>15105248
Who cares what you want? Stop dragging yourself into this fucking conversation.
>DON'T WANT NO
SHORT
>DICK
MAN
https://www.youtube.com/watch?v=fcrexKS8kxA

>>15105250
What is it used for?

>>15105248
>I'm not coping with the effluent of the "artificial intelligence" industry.
SHORT
>DICK
MAN

>>15105254
>you aren't a mathematician
>Stop dragging yourself into this conversation.

>>15105255
are you fucking kidding me?
you are so stupid that you have to ask a stranger on the internet about a basic theorem of topology
holy fuck are you dumb
like
go fucking learn
what the fuck
go back to class
suck your math teacher's dick

>>15105262
It's all about you, baby
Jack Nicholson at the Academy Awards

>>15105264
>no examples given

>>15105255
like, why don't you fucking learn what it's used for
learn about it and make a thread

>>15105271
yeah yeah yeah
you should learn the examples
do the exercises
learn the examples
learn the theorems
you got the idea

>>15105271
you're too dumb to see how it's useful
go cry
you suck
stop sucking
stop telling strangers on the internet that you suck

>>15105272
Sure, where can I learn the uses of topology?

>>15105279
You can't. You're too dumb. You aren't qualified. You lack motivation. You suck.
*pushes anon down easily*
Get up.
You can't.
You suck.
*spits on anon's face*
hahaha
You begin to notice the negroes.
They're here.
They've always been here.
Think of the negroes as open sets.
Ordinary sets are just the birds and bees.
>But the open sets are niggers.

>>15105285
I mean,
You have
You have
You absolutely have to appreciate
The extent to which open sets are niggers to the AI chatbot industry
I mean
My Lord
My LORD
LAWDY

>>15100892
You’re useless

>>15100892
Ask the particle physicists the same thing. They'll kvetch and then rant about how they need a new collider in order to further waste more tax money.

>>15105285
Hey, that wasn't nice

>>15101169
newton was doing applied math
the only math that people did was applied math until cantor showed up

>>15105291
Right, particle physicists are great because they take all the heat when the hoi poloi complain about
>le big shit genius
taking taxpayer money and shooting out of his big dick like a super soaker
Clearly the particle physicists are an important part of dealing with rightwing morons that complain about how the government is selecting the latest crazy fad
I mean, sure, I want government $$$$$ too, but look at this CRAZY SATANIC MONSTER the particle physicists built!
Holy shit!
Better give the crazy people your taxpayer dollars now or you have to deal with
>LE CRAZY CERN BEAST
*spooky music*

>>15100892
I'd say prime numbers are far more useless. Yes they are used in encryption, but there are other methods of encryption that don't use primes and are arguably better like lattice based methods and other post quantum methods. But primes aren't used in encryption because primes are great, they're used because mathematicians are too retarded to work out a way to factor them efficiently. People are actually paid money to research prime numbers all day, it's laughable. Sure maybe have one or two guys looking into them but instead there's dozens or even hundreds of them and they treat primes as some kind of miracle of mathematics and they must all be found like they're Pokemon or some shit. I liken it to say a video game speedrunner looking for all the glitches in a game. People that follow the speedrunning scene of that game think the top runner is some kind of genius pushing extreme boundaries and blowing minds by discovering things never thought possible. In reality outside their tiny group nobody gives a fuck and think they're idiots for wasting their time because nothing that comes out of the group is useful or meaningful in any way other than to their own little group. But for mathematics the amazing genius aspect has leaked out into the public and there's a notion that these people searching for something useless are of the highest order of intelligence. I'd say something like inventing a novel product on your own and turning it into a billion dollar businesses without cheating or scamming anyone takes far more intelligence and it would be actually useful too

>>15100999
I'm a lifelong neet and I have a child.

>>15101612
Estrogen filled minicock hands typed this

>>15100892
because it's fun. Also if it were useless, it wouldn't be researched, because there'd be no funding

So we're now at the point where topology is TDD for math, especially formal math theories, especially novel formal math theories circa 1875-1925.
So topology is the key innovation that enables serious discussion of axiomatic systems as they offer no place where technical problems can arise, they are the petri dishes and Bunsen burners, and we can understand why topology was useful at the time for organizing the search for properties of novel formal systems...
topological spaces aren't just useful, they're a key milestone in math history, great moments in formal math history...
aww...
it's when cute little formal theories began to take their first steps...
it's formal theory baby pictures!!!

>>15105250
It's not a theorem, it's equivalent to AC. So, it's literally an axiom.

>>15105217
You can use topology to prove properties of deadlock-freeness for parallel programs.

Ergo, thanks to topology, the boobs of your waifu in your favourite weeaboo eroge are animated in the most fluid way.

>>15105154
At first I somehow read that as "compare homeomorphism with bijective continuous function", and was like wait this isn't human-like at all, but then I saw this >>15105162 and understood how dumb this AI is

>>15107134
>striking similarity between tensors, triangles and Shimura varieties
This sounds like the start of a joke, and I have no idea what the author meant by this

>>15100892
Mathematical analysis is largely (but not only) about topology, measure, and how you can apply topology and measure to functions, namely integration and differentiation.

>>15107221
This sounds like bullshit but I believe it

>>15100892
>Why are they teaching our kids useless things like probability?

>>15107327
Because the casinos would complain if they taught old farts?
>this is now a dad jokes thread
>dada jokes are also accepted
Why yes, I did enjoy that commenter's picture. In fact, I found it quite surreal.
If I had posted in that thread, I would have thanked him, and asked for his daughter's hand in marriage.

>>15100892
For all you know everything IS topology

>>15106830
Mental gymnastics