#serious-discussion
1 messages Ā· Page 469 of 1
sorry jesse
yeah cuz its for grinding ryc

SUCCESS
IS MAKING
those who
BELIEVED IN US
LOOK
BRILLIANT
what type of chairs are those
Thats great 
do u think they are eames chairs

valid question.
ok survivor is starting
ima study software development by myself and get a job at an environment-caring company
Genshin Impact has a magic square puzzle š³
cool
nerd
If you have a vector field V, what exactly does $V \nabla V$ denote?
CoolShot
ccccccontext?
Found an emendation (Andersonās) of Gƶdalās ontological argument that apparently does not imply modal collapse: https://appearedtoblogly.files.wordpress.com/2011/05/anderson-anthony-c-22some-emendations-of-gc3b6dels-ontological-proof22.pdf
Itās shown consistent via computer here: https://link.springer.com/content/pdf/10.1007/s11787-017-0160-9.pdf
Curious to hear yāall smart peopleās opinions
Ping me if you think anything neat
woffolin bruv
copinghagen
@dull salmon idk if youāve seen the other emendations in the second paper here; some of them are rather curious (BjĆørdal, for example, takes a God-like being as a primitive instead of positive properties, which is interesting).
guys are composite functions , functions which use other functions?
for example this g(x) = x + 1
and
f(x) = x * 2
f(g(x)) //is this a composite function?
Yes
yes
Every day Iām amazed by how powerful simple theorems can be
Like what
Fundamental things like pigeonhole, or simple introductory theorems like the monotone convergence theorem
The latter are only powerful when they can be applied which to be fair can be quite a limited set of problems but itās still awesome how you can get quick conclusions from them
Lagrange is a good example of a powerful simple theorem ig
Youād probably have better ones
Can I ask a question
How much algebra do you need for calculus
Like how good
Like do you need Olympiad level algebra
You need high school algebra and trigonometry
Ik
But like do you need to be like Olympiad level in algebra
Like in terms of algebra skill
No
can you solve a quadratic equation
do you know what a logarithm is
Do you know trig
Iām still learning algebra 2 on my own
if everyone needed to be good at olympiad level algebra to do calculus then who would be doing calculus
this is absurd
Idk someone just told me
Alright, learn algebra II fully and know exponentials and logarithms well
do you know what homotopy is?
that someone is wrong
Hell na
So if I know everything, and good at it can I just move on
Or do I need to make my algebra like insanely good
Because idk
Yeah itās a continuous map between loops
you should probably have a mastery of trig at least
What is meant by mastery
@neat lintel how is competition math fake math
Is it just too hard
itās useless for real maths and physics
like, if I explained something in calculus that used techniques from trig, you could follow along

You can do it if you want
Iāve mastered trig
I love your pfp
do those things not go hand in hand
Well I know a bit of algebra 2
we had trig/algebra II as one class
Anyways time to do a āsimpleā calculation for my PI 
I thought you had to be competition level at algebra
okay yeah should have a good understanding of exponentials, logarithms, quadratic equations, graphing, inequalities, and radicals
For a sec I thought everyone here was an Olympiad level
if everyone needed to be a comp math prodigy to learn calculus then few would know calculus

Wait how hard is the Olympiad even
is this what jealousy looks like anime boy?
Because people told me about some think called the ācalculus trapā or whatever it is @unborn trellis
i have no idea what that is
the calculus trap...
i suck ass at competition math but i taught myself calc in like 10th grade
it's not as difficult as you think
Iām in 9th grade
Yang Mills theory cool
.
bruh
bacono stealin my lines!!!
I didn't even read that lol

Yep
are these compatible things
That is, in fact, my About Me
nothing against your beliefs, just kind of curious
i think they are compatible
May God bless all of us
i assume people make the right modifications to their religious beliefs so that they become compatible (?)
unsure how it works
since i am not religious

same
i am doomed

Christianity and the modern scientific consensus are fully compatible. A website I like a lot with good information is https://biologos.org.
Multiple interpretations of Scripture are possible; since, if Christianity is right, nature and Scripture should be compatible, you choose the interpretation thatās consistent with whatās observed.
right
this is a pretty funny headline
Itās moreso selection of proper interpretations than random modification
Ye, itās made to be attention grabbing for vaccine-hesitant Christians, I would think
at what point do the interpretations deviate enough that you end up with some kind of new religion even
i guess this is how the sects form?
i am not educated on these matters
oog
.
@neat lintel do you believe in the lord
Christianity holds a couple key principles as sacrosanct; essentially everything else is up for vigorous debate (and probably has been).
i see
Ye
Christianity holds that there is one God who is three Persons. Each of these Persons is not any of the other Persons, but all three are one God.
and he deleted his message
oh well
I am agnostic as pertaining to the existence of the muffin man
It's muffin time
I feel like Iām reading an axiomatization of Christianity
The proper name for that is āsystemic theologyā

A quite famous historical example is Aquinasās Summa Theologica
Taking a math class and whispering to myself math is synthetic a priori and dreaming of getting a good grade while making a 30
and lets not forget
God ā con(zfc)
Heh, I was just talking about alternative forms of this with no modal collapse with Ultraproduct earlier today
yall might like this server https://discord.gg/FZSbdQbf
the theists in this server are pretty devoted and seem to work hard to not end up with a defective theological idea of their respective God/gods
the greatest olympic mental athletes of our time
best thing to come out of that place
where is this from mirza
like you said that in response to the theology discord being linked but that looks like reddit to me
Server seems a tad quiet
memes section of the theology server
lol
mirza taking a page out of shin megami tensei
should have just banned her smh
im quite active there and im letting you know rn the taliban is #canceled
You ever just feel like you can't focus on anything
Like between ADD, laziness, and a small dose of crippling self hate I barely spend any time on any of my classes
delete the internet
I find I feel that way for the first hour or so of trying to focus on something
but then it goes away and I get into it
But I'll admit that the internet is certainly a major
The thing is, I rarely can spend that much time focusing on something
it's easier to short circuit it if I go straight to doing it when I wake up
and don't touch any electronic devices in between, minus maybe turning off an alarm
Like I'll spend an hour maybe 2 hours tops working at a time
Often much less
Not sure to what extend that's laziness/internet and to what extend it's ADD
personally I just attribute it to me being a monkey
But the end result is I rarely spend more than a few hours per week on any of my classes
like something distinctively unnatural about sitting at a desk reading for hours
*few hours per week each not total
And the thing is, I generally do well in my classes, like I have a 4.0 gpa, but I think that's just a combination of the classes not being demanding and just being carried by the fact that I pick up on things quickly
I have this constant fear that I'm not actually learning any math and am just blackboxing everything
dunno, sounds like your expectations for yourself are too high so you are constantly disappointing yourself
And relying on just intuition and theorems I don't know the proofs for
See I think my expectations are reasonable
you're doing well it sounds like, but we're still mortal
yeah, I'm saying that's the problem
I didn't really take notes until this semester
well, I'm not a therapist so I'll just stop it there, but good luck working it out
I feel like I don't retain things
At least not as much as I could
And that I'm always doing just the bare minimum
In like reading courses and research projects
And in terms of my expectations
Is it really unreasonable to think I should be spending closer to 6-7 hours per week on an upper level algebraic topology reading course rather than 3-4
Spend as much or as little time as you need
they be treating Allah like it's a MMO raid boss smh
Is sacred geometry pseudo-math? Is it actually considered math? when I see something like the flower of life, I think of Set Theory, but it doesnāt seem like thatās the use and just seems like itās not actually any real math.
lololol
"pseudo-math" is too high a compliment
from wiki
Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes
math doesn't care the slightest about the "symbolic" or moral meaning of numbers or shapes
I don't mean symbolic in that way
Oh okay
it's as in, symbols that represent human values and virtues
and things like sacred geometry and numerology are just that, finding patterns and giving them interpretations in terms of the (subjective) human experience
How do you explain the usage of moral to mean pedagogically correct then huh?
its not really mathematics at all
1 respresents wholeness and health
Could certain values be quantified somehow though?
you can take whatever theological conclusions you want
4 is a really unlucky number for me
but a mathematician would not study anything like "sacred geometry"
I don't mesh well with Libras
Well now that you say so...
that said, mathematicians HAVE proved that the existence of God implies the consistency of zfc
take this as you may
I've heard that God is a Libra, is there a chance for me?
Thanks for the answer guys, I appreciate it.
paper?
It just made absolutely no sense to me
damn he had it on his clipboard ready to go
bc it mostly doesn't 
"existence of god" means in the sense of godels ontological proof
so im stating it in a misleading way
for comedic effect
I thought people were just seeing something within it that I couldnāt figure out or notice
im not going to read this but this is 
but its a valid paper
I lost my water bottle cap on the train

use ur mouth
It came off somehow and water sloshed all over my backpack
no cap?
I saw a proof like that, but it was before a time I understood proofs.
I wrote a metaphysical proof before, but the thing is that I got a physics assumption wrong.
I thought matter couldnāt be created or destroyed at all, but I didnāt realize it could be transferred. In other words E = MC^2
your lost water bottle
I have the bottle, the cap just came off
the bottle is nothing without the cap
the cap is basically a bottle with out a cap
That's cap
what's a p-adic number?
Hey, does anybody know if there's anything neat that comes with representing graph colorings as matrices. I'm thinking of the following: a matrix where the rows are vertices, columns are colors, and the entry i, j is 1 when vertex i has been assigned color j. Or, we could do a matrix where the rows are colors, columns are vertices, the entry i, j is 1 when color i has been assigned to vertex j. It seems like you could view a graph coloring as a linear transformation this way (taking "color vectors" to "vertex vectors" or vice-versa) but I'm not sure if that's interesting at all. Someone elsewhere said you can't get much info about the graph from this matrix so it might not be useful. Although I think if it's a complete multipartite graph, you should still be able to recover the adjacency matrix from the first matrix representation idea I listed.
Its a formal sum $\sum_{n>N}a_n p^n$
nYaminoid
With the coefficients $a_n$ being in the range $0\leq a_n < p$
nYaminoid
Whatās their significance?
the short answer is that you can "do calculus" on the field of p-adic numbers in a way you cant on Q
Yes but it also has a lot of algebra connections
Just from the name I thought it was NT
Doing arithmetic with p-adic numbers is like doing arithmetic mod $p^n$ for all $n>0$
nYaminoid
to be a bit more explicit
theyre an alternate way to complete the rationals
we can complete them by naively filling in the holes with sequences
that gives us the reals
but its often useful (especially number theoretically) to consider alternate completions
is completion going to mean anything to feather
Does the series always converge? Or can we only make a p-adic with certain ps only
It looks geometric but iirc geometric requires n < 1 to converge doesnāt it? I havenāt done series in a whileā¦
Interesting. So can every real number be represented as a p-adic?
Yes I know what you mean by completion
no, reals and p-adics are fundamentally different objects
theyre incomparable
(except the rationals)

Do they not have a computable value/something we can approximate?
Just like you have the decimal expansion for real numbers you have the p-adic expansion for p-adic number, which is the formal sum i wrote above
Ahhh okay okay
there are divergent p-adic sums
it's relative to that absolute value
like 1+1/p+1/p^2+... diverges because 1/p^n has a large p-adic absolute value
Smth like āso is there something like cauchy criterion that guarantees every series convergesā
there is exactly cauchy criteria
oh wow
and for p-adics it's even stronger
you just need |a_{n+1}-a_n| -> 0 for a sequence to be cauchy
also if a_n->0 then sum_n a_n converges
Right
lot of this stems from the ultrametric inequality
a stronger version of the triangle inequality
never heard of that :o cool
I gotta drive real quick but Iāll be back in a min
What subject/field would I look into to learn more about this?
hi again
I think a good place to start is the construction of the p-adic rationals and Hensel's lemma
they are just power series of a prime (or whatever p is) basically
formal power series that is
Check out the video lectures on p-adic numbers by Renee Bell here:
https://www.math.arizona.edu/~swc/aws/2021/index.html
What's the difference between a formal power series and a...regular...power series?
I'm going through the Wikipedia article rn because it's more easy language but I'll keep looking into it
So it's a different number system is all
But it has nicer properties for some stuff
formal power series means we consider the power series itself rather than evaluating it
like
you can view it as a sequence rather than as a sum
and we just happen to separate the elements of the sequence with + symbols
$\mathbb{R}$ is like the sun, while the $\mathbb{Q}_p$ are the infinitely many stars

basically like infinite polynomials
nYaminoid
ing your own Tex 
So each term of the series is just the coefficient/value for that "decimal place" of the p-adic?
Like for this
The power series would look like 1 + 3 + 1 + 3 + 1 + 3 + 2?
But not 14
So 1^5 + 3^5 + ...?
or no
gah I remember this it's similar to expansion of real numbers
just don't remember the specifics
No, its $2\cdot 1 + 3\cdot 5 + 1\cdot 5^2 + 3\cdot 5^3 + ...$
nYaminoid
Ah
That's the expanded power series right
And then to form the actual number we just take the coefficients in front of 5^n
Notice that in $\mathbb{Z}/5\mathbb{Z}$ that the multiplicative inverse of 3 is 2.
Also in $\mathbb{Z}/5^2 \mathbb{Z}$ the multiplicative inverse of 3 is $2 + 3\cdot 5$
And in $\mathbb{Z}/5^3\mathbb{Z}$ the multiplicative inverse of 3 is $2 + 3\cdot 5 + 1 \cdot 5^2$
In this way, the inverse of 3 in $\mathbb{Q}_5$ encodes the information of the inverse of $3$ in $\mathbb{Z}/5^n\mathbb{Z}$ for all $n>0$
nYaminoid
if a fool persists in his folly, he can become wise...
Oh man
So Z/5Z looks like 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2? So multiplying 3 by 2 then taking mod 5 gives 1...is that right? I think that's it
This is cool though, thanks for the example
What do you mean by the inverse of 3 in Q_5?
What is the inverse of a p-adic number?
Ohhh okay
So the inverse of 3 is 1/3 so it's 1/3 in Q_5
Encodes information about the multiplicative inverse of 3 in Z/5Z
$\mathbb{Q}_p$ is a field. The inverse of an element is some other element which when you multiply them together, you get 1
nYaminoid
Q has negative numbers too right? That's why I was confused about inverse, can't you have additive inverses too? But I guess it should've been obvious because we don't care about addition here
nYaminoid

One sec
fuck okay problem is I don';t actually understand the math behind how to find the terms of the power series LMFAO I didn't understand it over text (on wikipedia) so I just skipped that part
I will do this after I'm gonna be busy for like an hour or 2 rn
But I'll respond once I figure it out
Yeha its okay, the construction of the p adics is hard to wrap your head around the first time
I understood everything you said
doing a cs phd

I'm focusing on stat and analysis
Mr. Berg
Mr. Berg
@crystal stone mr bear
Mr. Berg
omg yeah I can't do this LOL I don't understand the algorithm. I think the rightmost digit is 4, but that's as far as I can figure out 
I'm trying to work it out backwards using this but I can't get past Z/5Z š¤£
Thats right
Whats -1 in Z/5^2Z?
24 yes?
Yeah and 24 = 4 + what*5?
Ohhhh there was my problem
I was doing -1 + x*5 (mod 5) = 24
okay so the secnod digit is gonna be 4 too
Mhm
Let me do the third
So we have 124 = 4 + 4*5 + x*5^2 => 100 = x*5^2, so the third is also 4?
sorry that took so long š
It turns out $-1 =\sum_{n=0}^\infty 4\cdot 5^n$ in $\mathbb{Q}_5$
nYaminoid
Is -n always sum (-n mod p) * p^n in Q_p?
So the 5-igit representation of -1 is -1 = ...44444444
Idk also i have to sleep now byw
Night night š Thanks for your time
ah yes, the class equation
what kind of answer are you looking for?
i mean what math subjects do you need to learn in order to learn linear algebra
know how to add and multiply i guess
i meant advanced linear algebra
like what?
the prerequisites is knowing how to add and multiply
yes, that's it
yes, this is a standard introduction to linear algebra
its very self contained
it could be a bit abstract, but there is no concrete prerequisite to prepare you for that
ok tq
maybe some intro proofs and logic kinda thing
this is such a weird conversation
what am i supposed to be seeing
i mean i know what is or isn't required to take linear algebra classes
and calculus certainly is not
i have successfully taken linear algebra classes without calculus
can't hurt you to take calculus first, derivatives and integrals are nice examples of linear operators
they actually left lmao
am i toxic? 
Why what happened
they got frustrated because they can't read
u were fine
Lmao @ "bro see"
Yes
Apologise and bring back the user 
?
i'm currently doing math as a hobby in my spare time after high school before I go to college. I already know some calculus and differential equations. I started at reading a book on discrete math by Susanne Epp, afterwards I read a book on precalc, now i'm going into calculus 1, 2 and 3 again. Should I read a book on proof writing before I go into differential equations and linear algebra, or should I do that before calculus?
I know a bit of proof writing from discrete math, but not a lot
then your good, just use a proof book as reference.
You'll probably gain little from a "proofs" book if you've already done discrete math
Hatcher has a book of Topology of Numbers
I struggled a bit with proofs in discrete math and skipped most of the problems, and just did set theory, graph theory etc. instead
so i'm not really great at it
I just heard it's good to get good at proof writing before you go further in mathematics
Proofs can be (are usually) learnt in the context of a particular topic
Typical choices for a first proof-based class are discrete math, linear algebra, real analysis
alright thanks
maybe this would help, it very quick
thanks, i'll look into it
but I thought of getting the book Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand, Polimeni, and Zhang or An Introduction to Abstract Mathematics by Bond and Keane
just to get good at proof writing
for reference use book of proof, you can find a free pdf from author website.
but I can see that the pdf you gave me covers alot of good stuff, so that's great
How do yall typically remember material you've learned on a topic after you're done focusing on it. Like I feel like all of my classes are so disconnected, and "self-contained" that I rarely get to use what I've learned in other classes and then forget a lot of what I've learned. For example, I've forgotten so much abstract algebra, even the basics, because my other classes almost avoid utilizing or referencing it
do more math in your free time that does utilize it
Reread past courses regularly
Is this common practice among higher level math students
Idk about others but I have terrible long term memory so I have to reread my notes every now and then if I don't do things that utilize past knowledge
By regularly I don't mean every other week
But something like every two-three months
I just work on stuff, and as I go I naturally realize things I may have to review and just review in the moment
I don't think it's wise to just constantly be going back and reviewing without trying to make progress towards something, you'll just constantly be stuck in the past imo
could you possibly expand a bit more on what you work on in your free time? I think I just have a hard time thinking of stuff to occupy my free time with since i've only ever really done math in a class setting
Don't you study outside of class time ?
I guess it depends, are you a math major or not
if you're a math major, you sound like you're in the wrong degree
Gator, When i say class setting, I just mean learning math for a class. And yes that does involve studying outside of class.
M, and I am a math major and in my senior year so I don't think that's quite the conversation to be had

LOL
You can pick up books that aren't directly related to what you study to delve into the topic. Researchers usually work on interesting questions that arise in research (either ones they found while doing their own research or reading other papers, or questions that were brought up in the community) if that's your question
Ah ok. Also I'm a bit confused by the reactions to my message. Is it kinda frowned upon to not have experience delving into other topics in your free time at this stage?
Eh I think it's fine. The priority is always to understand as best you can what you are seeing in class imo. Delving into one topic or another is if you have more time and want to.
Depends on what your goals are after undergrad too
depends on what you want from math
That's kinda the thing, I've put an absolute ton of time trying to decide what I want to do after undergrad and just cannot decide. Even now, I'm afraid of doing something that I think I'll enjoy and later realize that I don't actually enjoy it and end up wasting valuable time. That is precisely the reason why it's taking me five years to graduate tbh.
I enjoy being around math a lot but rarely have the mental energy and attention span to dive into something deeply that isnt required for a class. And that has definitely limited how much I've been able to get out of math
Do you at least have a list of things you want to do ?
there is a lot of methods to realize the things you might be passionate about
i think math itself is a great tool to anything you might do later tbh its not a waste of time
Or do you not know at all
Yeah you can continue for a masters in almost any other field with a maths degree
Including maths, of course 
If it's your senior year you should really try to figure out what you want soon since depending on which country you're in, applications to grad school might be soon
Regarding timing of applying, I'm going to take a gap year to settle into the country that I'm moving into. But I have a semi-good idea of what I want out of a career, but not necessarily what specific field I'd want it to be in. And whether its a good idea or not, I'm not sure this is actually the conversation that I'm interested in having. I think I'm moreso interested rn in finding a way to get myself to spend more free time on math since I have yet to successfully do that
I'm also getting the vibe that this conversation might be getting a bit too personal and out of the scope of what this channel/server are meant for
Do you have enough free time to do more maths besides studying?
If yes then you just have to pick up any book in a topic you like and work at your own rythm
Oh yes absolutely, I just don't know what to bite my teeth into. I notice that when I've decided to delve into something, I often am more attracted to another shiny topic and have trouble keeping myself on the first topic
If you don't have a good idea you can just choose one of your classes, look at the recommended books and pick one
To just try to get a deeper understanding for what's going on?
You have free time ?

I play video games, hang out with people, enjoy my day, find interesting places to go...
I mean you also use some of that time to do maths surely
I do what I need to to satisfy the math I want to learn, and I don't do much more than that
And I don't consider that free time, that's part of work
i'm with ryc on this one
I will never review my notes from an algebra class because I do not care to remember anything from that class
poor work-life balance will get you nowhere fast
And if I ever need to remember anything from it, I will go look in a textbook and see what it was I needed to know
And it will take a few minutes to relearn cause the connections were already built in my head a while ago
This mindset works for me because I'm very productive when I need/want to be, and yet I keep up a very healthy work-life balance imo
someone said that math is just a job
i am trying to internalize this
tough because everyone so competitive 
or it feels like it
I try as much as possible to separate non work things from math (besides being on this server).
Not like "try"
So is the reason you have a vast understanding of topics because you use them a lot? becuase that's what Im having trouble with, my classes rarely require me to know anything from other classes, even fundamental ones like algebra
I just... Do what I want in my free time, and it's not math 90% of the time
I don't have a vast understanding of a lot of topics
I have a familiarity with a lot of topics and a deep understanding of the ones that are relevant to me
Which I use all the time
I.e. most kinds of analysis
And that deep understanding is probably aided by me having a pretty good memory + study routine (time management wise) so I can see where you're coming from there
Analysus
Like for me just having time to really think through a problem or an idea fully is what lets me internalize it
@swift sinew suppose you knew of someone who went to art school but only did the art that was assigned by teachers and didn't work on any art outside of class, would you think that was normal
I should say even if I don't do math in my free time as much, I do spend A LOT of time thinking about problems and what I actually am supposed to be doing
I would applaud the person for touching grass
imagine a doctor that doesn't go to the hospital in their free time
what kind of grass? š
smh
Obviously there is a happy medium
I think the point of the arguement is that mathematics is a different activity than doctoring and arting that you need to have extra practice outside the classroom
But also if you talk to most professional mathematicians about what they do in their free time, you'll get something like "uh... I hang out with my family" 9 times out of 10
I mean I can see someone only practicing the methods seen in class. That wouldn't make them less of an artist 
Maybe its similar to arting because you need to do it recreationally to get good
Like you are asking mathematicians what they do outside of math?
I just don't think you do... I have gained like nothing from the recreational math I've done
Imagine you are good in math, that is only when you are me but you are not so obviously math is not for you noob go code
Im talking in terms of solving problems
Maybe that's cause I have been in really rough programs in terms of difficulty
i don't think its necessary for everyone to be THAT passionate and invested on there studies
having free time to do other stuff is for 95% of people needed
if you chose to spend more free time studying i mean hey good for you man but dont force yourself to do so just do what you enjoy imo
Ryc you should see Subhashs Khots interview
Eh you don't need to enjoy maths
"what do u do with your family" "i teach my son math"
Physicists don't necessarily enjoy maths even though they may do a bit of it
No just what they do outside of their literal job
Khots son is probably better at math than me
Also outside of literal job, hanging with family + friends sounds ideal
What a wonderful life that would be. Haha
jujjy jaja
Obviously you still need "real" free time
Idk I used to beat myself up over how my best friend could and did literally think about math every waking hour, and talked to me about it all the time, and that I couldn't do that
Lol friends and family what
yeah that's kinda unhealthy 
And then I got used to it and realized I was learning just as quickly just doing what was healthy for me
imagine wanting to do math
I can't do that either and I'm worried about that too š good to hear that you got over it
Yea I think I was putting myself down for not being as obsessed with certain math topics as I thought others were, but I realize Im just as obsessed but with different parts of math
I need human relationships lol
I'm kind of glad I was forced into this realization
Mathematics can be really enjoyable
amen
bu tao rune
just an aside/closure: ryc I think you've actually helped me find the heart of my problem because I agree that I only really need to think through ideas fully to internalize them long term and I would be surprised if in my first couple years of undergrad, I failed to put in that effort and that's why I dont remmeber much of the material
But I also understand the perception that, if you don't go to a super intense program, you might need to supplement with your own stuff in order to be competitive in a very hypercompetitive application-driven space
This is more a practical thing than a philosophical thing
But imo it is more important lol
So
yea bro prioritize irl life over math
If you don't do anything that uses the material you'll end up forgetting it after a certain time no matter how well you understood it at the time
I beat myself up because my dad can work like almost every waking hour
when you're more healthy mental wise you'll put out better math
And i cant
But this is also rectifiable, the more you do it now the more you'll fill in those gaps
I bet if you just look at some notes you'll start remembering things
it is fine
ppl have different tolerences
like my dad has been
what do you mean by "healthy mental wise"?
for the past 3-4 years going out to work at 6 and returning approx 12 at night
it is fine 
I really really appreciate all that insight, advice, and help
being mentally healthy
this doesn't mean ur dad is inferior or i am or you are
its just how it is ukwim
some ppl are more used to it than others
Dont discount the other stuff you were hearing though! Trying out other styles of working that you dont expect to help can be surprisingly productive and fun
Mental health? What's that
Dont discount the other stuff you were hearing though! Trying out other styles of working that you dont expect to help can be surprisingly productive and fun
Robots don't need mental health
new copypasta just dropped 
Like sometimes for me I get into slumps with my usual working style and I need to change to something more recreational and exploration based to motivate myself
Usually it's just for a little bit and then I get inundated with coursework again and need to just stick to that lol
you gotta find what works for you
this is main reason why i contemplate going into industry and living a slow life
i dislike that i have to focus on coursework even though i like the coursework
it just feels like I lose freedom
Yeah lol doing coursework does feel like saying "yes sir šāāļø. Whatever you say" even moreso than working a real job
Still
I've been trying to see how far ahead of coursework i can get
Like studying all summer
Bc that way I'm free to do extra work if i want to right
š
Freedom regained
lol i thought it would work out
i tried this summer
but i dodnt have good enough consistency
so i didnt accomplished much
Yeah. It helps that i had a super structured life back at home
Now that I'm in NYC
No such thing as structure here lol
as a researcher i feel you may get good freedom
are you one?
NYU :-) I'm not from here but my dad's family is. Im actually hanging with them right now
nice
in germany, many positions handle work hours on "trust basis"
you don't even need to go to the office
Huge fan
just produce results
after my freshmen i just realized "holy shit i need to work on my math " and decided to restudy all my courses 
funny enough what started as a task is now my motivation to wake up
neither do many phd students lol
My dream is being reincarnated as a brilliant french mathematician
im a lil spooked about europe ngl
that's good.
German mathmeticians are intense lol
Germans are intense.
I like the American higher education system a lot, I think there's just so much flexibility in how you can be a student
I'm CS not math. Italian CS grad students are intense too
cs kekw
i like american higher education besides forcing gen eds
id also not like to be in america tbh
actually thats false
You can get them out of the way through APs or dual enrollment
But it is a pain
i just wish my location was less political snd we had less political conversations
The US in general is very political
Everywhere I've been politics has been front and center
avoid all of europe then haha
yea
I wish I was in a magical place that was the research triangle in North Carolina except theoretically focused instead of focused on application and no political tomfoolery
i have a particular aversion towards europe especially as someone who never went there but has only met european international students
they are nice for most part
You're getting a very narrow viewpoint
If it's just international students
I mean, I only spent like 6 weeks in Paris
North Carolina is such a good place to live... So much nature and people are so friendly
The summer tho
Schools are aweful tho
NCSU is good
Oh yeah i mean
UNC Chapel Hill?
Highschools are awful
yea narrow viewpoint rip
Like pre college
oh, schools are bad everywhere
Even when they're good, they're really not that good
It's just like, less degrees of bad
i just need to get pro math research experience and then i can think about where to live around the world
I think schools for k-12, even some university courses, are too fixated on micro assignments, and micro tasks
Like if you have to write an essay
I like microtasks
You have 2 rough drafts, you have to idetify your topic sentences, thesis statement, supporting evidence
Then you just piece it together, and if you don't do any of the parts by itself, but instead opt to do the whole essay
My hs was super focused on essays lol. It was mostly kids wanting to go into law and medicine
You get marked down
In real life you do big projects by breaking them up into micro tasks, and someone should definitely teach you how to do the breaky down bit
I only learned this in my data structures class
Never anywhere else
To solve x + 2 = 3 do you use the subtraction principle
(academics wise)
Did you state you used the subtraction principle?
No of course not
thats becsuse ive seen that problem before
Exactly, that's what micro-tasks amount to in the k-12 system
one good thing about our H.S system is students get divided into 4 categories in grade 12
its pretty fitting to avoid the topics you dont care about
if i ask x+146=37
Well the point is
ofc ur gonna microtask jt
I agree that breaking up large projects into smaller manageable chunks is a very useful skill
Especially in Higher Ed for complicated stuff
Even when it's a hard topic like AP euro or smth
I can write an essay now and not think at all about topic sentences, and the essay will be good
Gets spoonfed to u
But they apply it to the most rudimentary things
That 95% of students don't need assistance with
But when I tried to do that in middle school I wrote a messy piece of shit
do they qq
i wish my classes had more examples
too much theory not enuf examples
imo
Just ask your instructor to do more examples in class
See if it works
oh good point
If they say no, ask them where you can find more examples to read up on
š¤·āāļø
Similarly you'll talk to people who have no idea what x is if 5x + 2 = 12, and you and I can just look at it and go "it's 2. Just look at it!" because we just look at it and 2 pops into our head
Just come to France 
quite the opposite here
not enough theory too much examples lmao
But i dont see how you can teach 2 popping into someones head
Me when i talk to students who came from IIT to NYU
From what I've experienced is that students don't think about undoing process, they just try numbers out till it works
I was taught "subtract 2, and then divide by 5" and then at some point that morphed into "2 pops into my head"
It's fine to teach that, but I'm specifically talking about micro-tasks where they specifically make you do that for like 40-50 problems
interesting way to explain building intuition
Like 5x + 2 = 12
Ok, sure, I see what you mean
As opposed to like, teaching why the thing is working
It's good for a few examples, to give students some sort of structure or scaffolding
Especially if students need it
I almost always do problems without the scaffolding first, and ask students to think of the processes that led to the answer
And have them discover what the rules are
Overall, for the students that participate in this, do better (in my experience)
But if students just don't do anything, then of course this is worse
Because I'm not feeding a recipe to solve everything
My best calc class that i ever had (š still gives me chills it was so good) she'd teach us all the principles and then have us do huge amounts of problemsets on our own
but as someone looking for math career, when should you worry about drug testing
do they do it for grad school
Are you applying for defense contract work or federal/military work?
drug testing for what?
ive been discouraged from doing so
i've never heard of them doing that at all
Ok, so then you don't need to worry
R u thinking of trying to adderal your way into grad school? Lol
lol
no im just slightly concerned
also reus might?
eating too many poppy seeds?
That being said
You shouldn't be doing drugs without a prescription
That's my two cents
I mean that's the wise choice
I've seen drugs destroy so many lives
Albeit by their own choosing, and I think people have a fundamental right to choose what goes in their body
But
I don't want maths to go anywhere my body
that is very much a different usage of "go fuck yourself"
My body, my choice
yea
there is always that "i wont get addicted to it im just trying it" guy
best not to imo
there is better pleasures out there
Some drugs are very addictive
And they get addictive after the first taste
Others are less so
I don't know much about which is which, I just don't do drugs 
its not like alcohol where you can just say "ahhh whats the harm in doing it a couple times"
its made to build addiction
but its your choice after all
until it isn't because you've developed a dependence on the substance
yea its bad bad
care to elaborate, ive always enjoyed those stories
in that they build perspective
sadist
Not details, just friends and family
Doing drugs they shouldn't do. No one OD'd, but they definitely ruined their lives for at least 2 or 3 years
Luckily they got it together, but it came close to the point of no return
For my family, we were almost homeless when I was 9
i've seen doctors have to move out of the states cuz they had their license revoked
Due to my dads drug addiction
can't get a job anymore
The best drug is trying to be a good person
At least they didn't use any drugs that make you dumb 
damn
Why try weed when u could try working i a soup kitchen
Ie weed
Not worth
actually
Oh is this weed that make you dumb?
good points

no lol
Also people have different reactions to drugs, you never know if you're gonna have an uncommon reaction
its fine from time to time
as long as you know what you're doing
yea
like if you're going to drink it's healthier to do a little bit more often than a lot a bit less often
yea thats probably it
yea all amounts being equal
its healthier to not touch it ngl
oh sure
Yeah. Drinking some beer or wine with friends
same with psychedelics
a lot of people also forget that each bottle of beer is 200~500 cals
how do people manage after a bad trip
you can lose weight very easily by cutting out drinks
Every week is a lot better than pulling up to a frat party every month
Beer will fatten u up
wtf is that reaction
idk it's pretty easy to avoid bad trips
busting out 6 cans of beer rn
You can drink small beer
and even if you do get one it's like
Not very alcoholic
usually not the end of the world
Don't have to get drunk
there are no bad trips, only difficult ones
and thats kinda what you signed up for
bad trips feel like end of the world wtf
I mean there are definitely bad trips lol
Small beer (also known as small ale or table beer) is a lager or ale that contains a lower amount of alcohol by volume than most others, usually between 0.5% and 2.8%. Sometimes unfiltered and porridge-like, it was a favoured drink in Medieval Europe and colonial North America compared with more expensive beer containing higher levels of alcohol...
I'm actually 100% serious
Small beer can fatten u up
im just confused how its not discouraging
If u need
I mean yea it's discouraging for sure
i dunno, my best trips were "difficult" at least in part
also you can kinda hard cancel the hallucinations part at least of psychedelics
I had a particularly difficult trip once and I'd still do psychs again if I had access to them
i mean what
stupid like dosages?
no it's more like
don't be stupid and take a bunch of psychs with a large group of people you don't know that well
set and setting
I mean I prefer to take them alone tbh
i mean for bad trips?
ye i'd like to be the boring guy who doesnt trip and make sure everyone stays alive tbh
i want someone there incase i fucking die lol
yeah but it can feel like forever
worst that happens is you get like really incredibly anxious and freak out for a bit
you cant hardcancel delusions
ofc this requires access to more drugs lmao
so you just like
lie down and let it happen
helps to have some xanax to abort the trip
if anything just knowing that you can do that if need be makes most of the anxiety go away
I mean if you take a xanax while you're on psychs
it like
hard cancels the effects
and more or less aborts the trip
benzodiazepines shut down the part of the brain that is responsible for most of the trip
i wish i knew
benzos are kinda super dangerous though
yea
not sure about xanax specifically but in general
yea definitely
you can die from an od with them, yeah. they're also addictive themselves.
ng whats worst trip u had like?
they're definitely really bad to fuck around with
for very particular applications like this they can be worth it
the od is not the main danger
i know lots of people who (accidentally) mix them with alcohol
and its super easy to die from that
yea that's really bad
wait wtf
nvm then
i wish i didnt. know this
good thing you brought up warning lol
I mean I had some trip involving a lot of acid with people I didn't know very well and got really panicked and disoriented and had to call my dad and get picked up because I was freaking out lol
was fine after that
just very chaotic at the time
could not talk coherently
"dad i did acid again, pls come pick me up"
got stuck in a bit of a time loop lol
just never ask for the. time
mostly what set it off was like
other people around me were freaking the fuck out
which caused me to freak the fuck out

I mean I probably wouldn't do that kind of set and setting again lmfao
maybe if that were my first and only experience with psychs I'd probably stay away from them
I had enough really good experiences before that to know why that went wrong
so learning from mistakes in a way
I mean yea it was kinda obvious why that trip went south lol
when anxeity and delusions are at their peak thats the scariest imo
yea definitely very jarring
i wouldnt have balls to call parents like u anyways
cus they arent in position to help
also cant reliably focus to call anyone or look at phone tbh
I mean I just needed to get out of there and my parents were always really clear about the whole "if you get into some shitty situation and need to be picked up we won't judge you"
oh yea it took like
a few fucking attempts
for that call to make sense
I think the first two were like
total jibberish

lol
also someone said its all temporary
i agree sorta to an extent
i feel like somethings can be permanent
but maybe we dont know
there is more research into that now
as psychedelics are used more and more in research
im convinced there are permanent effects
i.e. some scientists think that microdosing will permanently alter brain structure
tbh idk what this is supposed to mean
brains are really complicated and im sure lots of menial tasks have effects on our brains
I mean lots of things have permanent effect on the brain lol
I don't think there's any evidence for like permanently fucking up your brain from psychs, bad trips in particular
other than cases of like schizophrenia where the evidence seems to point towards just triggering this earlier than it might have otherwise
you can probably fuck yourself up more or less permanently if you're like
taking heroic doses literally every week
but that's silly
I mean I've known people that took like 500ug+ doses every week for a while
they got kinda fried for a while lmfao
but ended up fine after they cleaned up their act for a while
yes cleaning up act is important ig
idk probably should stay away from drugs entirely if I wanna minimize developing mental illness
yea the brain is surprisingly resilient, you can definitely go back to near normal even after insanely heavy drug abuse in a lot of cases
thats my top fear
eh, there are some things to consider i.e. i would not suggest psychedelics to anyone under the age of ~25 as their brains are not yet fully developed
yea
bruh


