[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/lit/ - Literature


View post   

File: 424 KB, 1536x2048, head.jpg [View same] [iqdb] [saucenao] [google]
22639265 No.22639265 [Reply] [Original]

How can I become learned in the abstract concepts of mathematics?
>inb4 university
>inb4 Khan academy
I’m not interested in wasting years and years practicing applied mathematics or anything like that or integrating a function as a question on an exam, or designing an airplane wing. I just want to know the concepts of mathematics so I can discuss the topic intelligently.

>> No.22639278

Start with Linear Algebra
The mathematics involved is quite simple

>> No.22639304

>>22639265
How are you going to 'discuss the topic intelligently' if you aren't even going to college? With some random strangers on the internet?

>> No.22639349

>>22639265
>I don't even want to put time and effort to actually learn the subject, I just wanna have cool opinions about it
never change, /lit/

>> No.22639356

>>22639304
I’m a professor actually.

>> No.22639360
File: 72 KB, 850x400, IMG_4870.jpg [View same] [iqdb] [saucenao] [google]
22639360

>>22639265
Start with Nietzsche.

>> No.22639368

>>22639360
gay

>> No.22639377

>>22639360
>there's no straight line in nature
Everyone always knew that, dumbass. Common Bietzsche L

>> No.22639465

>>22639265
>I’m not interested in wasting years and years
Ptolemy said much the same thing. Euclid's answer is sort of famous. Look it up.

>> No.22639485

>>22639465
Ok but mathematics have changed since 300BC. It’s not one book, its like 50 books.

>> No.22639505

>>22639265
If you aren't interested in learning then never.

>> No.22639512

>>22639265
Think about stuff more, write more. What makes one thing different than another thing, blah blah blah. Start simple, let it get complicated, reign it all back in.

It's not easy, and you'll be doing it again and again for the rest of your life.

>> No.22639518

>>22639265
>I just want to know the concepts of mathematics so I can discuss the topic intelligently.
Guess what, you're going to have to learn applied mathematics to do that.

>> No.22639522

>>22639265
>I’m not interested in wasting years and years practicing applied mathematics or anything like that or integrating a function
Then you will not learn. You can think you know the concepts, but you haven't understood them until you have put them into practice hundreds of times.

>> No.22639524

>>22639518
>>22639522
I don’t need to know biology to understand the behavior of animals.

>> No.22639561

>>22639524
We're talking about math, idiot. If you can't DO it, you don't fucking understand it.
The rote memorization and regurgitation that got most people through compulsory education breaks down when the logic becomes complex. You have to build up mathematical knowledge in order and through practice. There's no other way. You only imagine there is because you're not used to any kind of genuinely challenging mental exercise.

>> No.22639564

>>22639561
Ok, here’s the thing, I want to talk about the psychology of man and horse. Why do I need to know the biology of the horse if I just want to know the facts of horses relevant to the topic?

>> No.22639574
File: 1.74 MB, 1012x1008, 1000006154.png [View same] [iqdb] [saucenao] [google]
22639574

>>22639265
What are you describing is called pure math. If you study math at a non shitty uni that's what will teach you, no one will want you to design a wing. Yes you will have to integrate and shit but that's just to prove you are not a complete brainlet. The main thing you will be doing is proofs.
If you say you don't wanna do proofs then kindly go back to your gay humanity studies, because proofs equate with what you want, understanding of abstract math stuff.

You can just self study pure math. Start with Sheldon's Axlers Linear algebra done right, or sergejs langs Lin alg, or Paul's halmoss book.
Also learn some mathematical analysis.

>inb4 muh I don't Wana do that, take top much time

well that's the price of understanding

>> No.22639576

>>22639564
Your "argumentation" through halfassed analogies is so far removed from the analytic rigor of mathematics that it makes the point itself. You can't get it because you are profoundly unused to reasoning.
You can't rhetoric your way to understanding. Every single piece of mathematics is essential. People argue passionately about math education, but the general order and the fact that all conceptual learning has to be explored and cemented through practice are pretty solidly agreed on. You cannot learn math without actually doing math.

>> No.22639586

>>22639576
tears tears tears

>> No.22639604

>>22639586
>How do I get wisdom without actually aquiring it
>you can't
>OHHH WHY ARE YOU CRYING
It would be funny if lazy, intellectually dishonest fags like you were a rarity instead of the norm

>> No.22639613

>>22639604
I don’t appreciate your attitude. I’m too fuckin old to deal with this negative shit.

>> No.22639838

>>22639613
then kill yourself, boomer

>> No.22639932

always interesting to see mathematics threads on /lit/. some people here are very clued up and have valuable things to say (more-so than those on /sci/ as /lit/izens are more philosophically inclined), but many here have no clue, no clue at all.
I'm always reminded of the following quote by Whitehead
>"Philosophers, when they have possessed a thorough knowledge of mathematics, have been among those who have enriched the science with some of its best ideas. On the other hand, it must be said that, with hardly an exception, all remarks on mathematics made by those philosophers who have possessed but a slight or hasty and late-acquired knowledge of it, are entirely worthless, being either trivial or wrong."

>> No.22639954

>>22639265
Two from my shelf
The Main Stream of Mathematics - Edna E. Kramer
What is Mathematics? An elementary approach to ideas and methods - Richard Courant

>> No.22639961

>>22639932
The irony coming from one of the most irrelevant philosophers ever

>> No.22639991

>>22639360
Spengler understood the Greeks better than he did.

>> No.22639994

>>22639961
how dare

>> No.22640648
File: 48 KB, 740x312, xkcd-451.png [View same] [iqdb] [saucenao] [google]
22640648

>>22639265
Unfortunately, mathematics isn't really one of those fields. Of course, if you're only interested in wishy-washy cocktail-party nonsense, that's much easier to accommodate.

>> No.22640783

You are a disgusting pseud

>> No.22640787

>>22639360
Comet nishimura showed the world a perfect parabola a perfect equilateral triangle and perfect perpendicular straight lines in nature. Light beams and lasers are perfect straight lines. Drill bits are straight. Knowing that there is noise that there are deviations is a transient frivolity in the face of knowledge of form.

>> No.22640812

>>22639265
Oh I can answer this: Analytical Modeling!
Learn to model reality and use mathematics internally as your metaphysical scaffolding to connect all the nodes.
Also I recommend highly you read up on Logic; which is like proto-mathematics. Also read up in programming; especially the "if" function as this will shape how you can construct logical loops in your own mind better.

>> No.22640831

>>22639265
The beauty of mathematics is that it is too pristine to be perverted for your cocktail party discussion. Only real deeds allow the royal road.
>>22640812
The only good place to be a pseud
Pseudocode is good for good code
Good code is good for pseudocode
Becoming intelligent in discussion is a humble ask in todays day in age now that the cocktail parties are decrepit demented boomers with zoomers on their phones prompting ChatGPT ai Diety silicone Caesar

>> No.22640834

>>22640831
Before AI this was a pretentious masturbatory ask. After AI it is the first pedagogical resource that cannot be beat

>> No.22640839
File: 557 KB, 1584x2243, 1694884516089980.jpg [View same] [iqdb] [saucenao] [google]
22640839

>>22639360
The actual worth in this quote is that it thoroughly BTFOs both materialism and mimesis. Is math God?

>> No.22640845

>>22639265
>I’m not interested in wasting years and years practicing applied mathematics or anything like that or integrating a function as a question on an exam, or designing an airplane wing. I just want to know the concepts of mathematics so I can discuss the topic intelligently.
>I don't want to actually learn a subject, I just want to learn how to spew hot air to pretend I know what I'm talking about.

>> No.22640846

>>22639524
Yes you do.

>> No.22640852

>>22640845
>want to learn how to spew hot air to pretend I know what I'm talking about.
Welcome to AI aristocracy, Conductor Karajan

>> No.22640858

>>22640831
>Logic is pseud

>> No.22640865

>>22640858
Yes logic is psued for a junior programmer that is the joke that runs companies. All mighty copy paste. Accountants for example are not too far. Lawyers worse.

>> No.22640909

>>22640865
Now this is cope.
The OP asked how to get good at mathematics.
Learning logic is a valid answer.
Learning programing is also a practical sub-answer; literally praxis of logic.

>> No.22640913

>>22639265
Read a book with lots of proofs, and skip the exercises.

>> No.22640917

>>22639265
Mathematical Logic

>> No.22640925

>>22640909
Fucking up programming is the realistic startbwith literal coping strategies to use GPTstackoverflowfromalpha

>> No.22640930

OP is fake and gay. I recommend:
Men of Mathematics so you can study people and just barely get into their ideas. Polya, How to solve it, is a math ed classic that covers mindset and generalized techniques. Get a ruler and compass and try some of the constructions in Euclid’s Elements to get a taste for proofs, this is what you should have done in junior high.
You won’t score any points at cocktail parties knowing linear algebra and you will probably never know anything meaningful about abstract algebra nor will you ever do any game programming that would require you to apply multidimensional transformations to objects in space because you are clearly a total fag. Look for a “dude that’s so trippy” book on topology if you are trying to look deep. You’re still a total fag.
Also, a random walk in 2D space will return to its starting point. A random walk in 3 or higher dimensions will not. Eternal recurrence is false.

>> No.22640957

>>22640783
I am professional intellectual, spoken at conferences, I’ve written papers, I am no pseud.

>> No.22640989
File: 11 KB, 299x168, images (19).jpg [View same] [iqdb] [saucenao] [google]
22640989

>>22640957
Im a bubble boy peasant hikikomori linux nerd who loves maths.
Caged birds have nothing to sing about so I sympathize with OP's begging for basic baby brain help.

>> No.22641030

>>22639265
I mean what do you want to know, the most intelligent fields of math was taken there by their usefulness in application. You're never going to learn shit if the only reason you do it is to look smart, its the /lit/ equivalent of lifting for women.

>> No.22641050

You're going to have to learn at least Calc 1 and a bit of linear algebra and analysis to understand the conceptual frameworks underlying modern mathematics. You can use Morris Kline's calculus book and history of mathematics to learn basically everything you need, as long as you have low level college math like calc 1. Also read his Loss of Certainty for an overview of the 19th century move to purely abstract algebra and its significance for the modern revolutions in physics.

From there you could easily understand most major critiques of modern mathematical concepts like Wittgenstein's critiques of set theory and logicism, Guenon's critiques of the calculus etc.

>> No.22641061

>>22639265
Plato’s Meno, Euclid’s Elements, selections from Aristotle’s Metaphysics, Nicomachus’ Introduction to Arithmetic, Lobachevsky’s Theory of Parallels, Hilbert’s Foundations of Geometry…

>> No.22641074

>>22640925
Do you want to feel right, or be right?

>> No.22641116

the 1st step to doing anything worthwhile in life is getting off this cesspool board where 98% of the threads are thinly veiled offtopic x/b/pol/r9k shitposts that do not discuss any specific piece of literate
it is fitting they discuss philosophy all day, pseud nonsense comparable to gypsy fortune telling in its predictive power and buzzwords

2nd step would be to look up susanna epp's discrete mathematics, its a math textbook that discusses math concepts without going into calculations, it actually explains entry level proofs and theorems and conjectures which sets you up for later math from where you can derive the rules of calculating stuff

>> No.22641180

>>22640957
You’re clearly not, retard. By your way of writing alone it’s clear you’re an unemployed mentally ill faggot under 25

>> No.22641191

>>22641180
I am 53, fuckin idiot

>> No.22641242

Learning pure math in 2023 is stupid. You have to trust the giants and climb on their shoulders. You have to simply assume that math is right and dive into the progression of math, which is programming. Humanity can't advance further if every nigga starts with Euclid.

>> No.22641257

>>22641242
That’s why you start with Plato.

>> No.22641279
File: 519 KB, 1080x936, 1697564219144920.png [View same] [iqdb] [saucenao] [google]
22641279

>>22641074
I did everything I was told by society that would make me successful by working hard and leaning into math BUT getting a bachelors or masters or even associates in STEM. I thought all school had STEM elements. Wrong. 50k down 4 years later I find out the math avoidant crowd won and ransacked society from all nominal merits and credits.
I tutored Calc2. Was denied entry to LinALG, DifEq, Calc3. I was even denied entry to basketball games told that I need a sports advisor inquiry to schedule to find out when the basketball games are at my community college (an MC Escher building in a small ugly concrete desert town full of the oldest fattest most Jewish new yorker retirees)
I taught the lowest level math course at a community college.
People who have never measured are not just common they are a sound majority of main street's dumb money and most boomers most boomer inheritance.
I find reluctant sympathy for OP as a die hard math fanatic who was born into poverty into a family of actual tards. Im skilled though. I was told do math and it will do you well. I studied business. I picked the most math intensive math classes business school could offer short of going to the capitol city for actuarial science (big debt debtmaxx). I avoided debt and got into accounting which is where jobs actually start instead of filibuster resume cocksucking shoe shining begging. American Academia is anemic while hosting the illusory world of modern math. It is exclusive to STEM majors. They invented my meme major MIS out of bullshit and gave me a link to codeacademy and khanacademy. Horizon after horizon no one like you math majors , the worst engineers, the most zogged bill nye sodomized physcists. The accountant alone stood his post. Fat. Bloated. Withered skin. Eating vending machine slop. But still gainfully employed during 2020 rock solid entry.

>> No.22641301
File: 117 KB, 619x386, grimes-619-386.png [View same] [iqdb] [saucenao] [google]
22641301

>>22641242
True. I have met many geniuses trapped in set theory cateogry theory topology masturbation that will not be applied for millenia. Programming is the greatest application of our lifetime yet I have never even met a single programmer in person outside of being socially excluded from engaging that aristocrat in super hectic passing and hearsay. Engineering is dependent on manufacturing and international standards for how pissy they get with employment credentials. Math is dependent on the preisthood's advisory council. CPAs will hire you and pay for your python basics.

>> No.22641363
File: 813 KB, 948x1101, Competence Crisis.png [View same] [iqdb] [saucenao] [google]
22641363

>>22641279
If it's any consolation, I empathize your frustration and why you'd give that advice to the OP.
We live in a gamed/zogged era where the illusion of competence is valued more than actual competency; which is feared by the successfully incompetent. On the bright side, working conscientiously in a "prestigious" STEM role means that you'd have to do all the heavy lifting to pick up the slack for all the frauds that wormed their way into these high-status sinecures.
If there's any solace, look forward to the catabolic collapse caused by this self-inflicted competency crisis...

>> No.22641436
File: 7 KB, 300x168, download (27).jpg [View same] [iqdb] [saucenao] [google]
22641436

>>22641279
>get hired at a tortilla factory in tijuana in corporate position
>head electrical engineer becomes office C level executive
>orders a custom metal grid truck accesory to hold tortilla box packages
>no tolerance was set and the boxes do not fit because they were measured as if they are perfect 90 degree flush frictionless
>whole floor is staring nervous
>that year finally got my 6 sigma lean corporate supply chain not supply chain wank finished
>explain that the tolerance is not accounted for and that exact vox dimensions were incorrect for exact box holder metal dimensions
>this is common parlance on the street to say "toelrance" despite being Shigeo Shingo and Taguchi' main points of Industrial engineering on Statistical Quality Control
>veteran electrical engineer gets pissed at me for speaking above his head
>the guy who sleepwalks wires and homemade RC cars
>mfer has gone full retard so I walk 360 degrees and drive to San Diego never to work there again

>> No.22641444

Can I learn the basics of theoretical physics without a degree? As far as math goes, I did fairly well in calculus 1 and haven't taken anything else asides from some fresh-man level chemistry and physics

>> No.22641486

>>22640957
So is my aunt and she is a fucking retard. Academia is a complete meme

>> No.22641514

>>22641444
Do you know basic physics?
Kinematics?
Conservation of energy?
Work, power, rotational motion?
Vector arithmetic?

>> No.22641519

>>22641514
The answer is no because Calculus 1-3 is Physics the movie and vice versa

>> No.22641577
File: 145 KB, 1280x720, fauci is science.jpg [View same] [iqdb] [saucenao] [google]
22641577

>>22641514
I retained knowledge for basic stuff and work/power. Conservation of energy is pretty easy to grasp for me. I haven't touched kinematics or vector arithmetic.

>> No.22642075
File: 3.07 MB, 776x5164, 1688171705374780.png [View same] [iqdb] [saucenao] [google]
22642075

>>22639265

>> No.22642280
File: 10 KB, 202x250, images (2).jpg [View same] [iqdb] [saucenao] [google]
22642280

>>22639265
Dont be pressured into degree cultists who want your life and soul instead of offering affordable memorable habit similar increments. No earth shattering Hogwarts..
The heavy lifting makes the man but the daily cardio makes you supple enough to begin the arduous journey with gusto.

Poor man's dinner table math ambitions:
1. Watch numberphile videos and parse well enough to return replicable continuity to the conversation
2. Read an 8 dollar paperback book bedside leisure read like Mario Livio's Golden Ratio or A Most Elegant Equation (e to the i pi)
3 see if you can muater the courage to plod deep into a goodwill textbook or amazon curriculum classic on sale
I recommend Stefan Waner practical applied math and THE Trigonometry textbook (has a bicycle wheel or a trefoil)
4 now that you have sunk your soul in these efforts its worth enrolling in a class to test your muster unless youre already a badass programmer

These are the limits to my kingdom's perimeter, layman. The royal road's refreshments bequethed unto you.

>> No.22642299

>>22639265
>I just want to know the concepts of mathematics so I can discuss the topic intelligently
I have a masters in mathematics. It is unique in that you can't really claim to understand the concepts at all until you've started answering questions. You may think you do, but then when shown a problem you'll be immediately exposed.

In fact the fastest way, and the way the less fortunate have been able to teach themselves historically, is by finding textbooks with problems and just going through them 1 by 1 after have reading the appropriate notes. Just look at one a night, let it sit in your brain, give each problem as much time.

>> No.22642310

>>22642299
Community College is usually very affordable and worth it

>> No.22642317

>>22642310
Going to a big school big bucks ivy league for anything before Calc3 LinALG DifEQ is ridiculous. That is the first math problem: paying for the courses and scheduling them. This itself filters brand brained normies who suck stadium dick.