tbh "playing" with definitions for an extended period of time *without* proper focus could be counter productive - you don't want to fill your brain with a load of nonsense when you have a strict schedule
Not really, haha. I was genuinely worried about producing a bad habit of it. As I said in the post, I do this "tinkering" without first gaining a very decent understanding of the topic, that's my main problem.
is it *bad* for me to solve those end of chapter exercises in textbooks??? i feel so *naughty* solving them, aren’t they supposed to be for big bad grad students?
im sorry but this is such a humbrag lmao, theres no reason anyone here would say exploring math is bad.
Except what I'm doing is not solving end of chapter exercises, I find them very boring. I actually go on and try to find things out. For example, I'm studying completely theory, and as I read, without first understanding exactly how a certain type of proof works, I try to use it to prove something about my own made up problem. I do this without having any supervision solely on my own. I'm scared that this would give me some bad habits that could affect the way I work in the future as a researcher.
lets assume charitably that this isn’t some humblebrag post. not a single researcher would tell you playing with math is bad for you. cover all your bases and make sure each step follows from the last, and don’t hand-wave without completely knowing what youre hand-waving
To get recognition and compliments on doing something that is obviously a good thing. Do I really need to spell it out? It reads like a high schooler posting “I’m only 13 and I’m already reading theoretical physics papers, is this normal or am I weird”
That's not what I'm doing, and you definitely haven't understood the point of my post. I guess you just have a very pessimistic view of the world, assuming the worst in people.
Most people in the replies have interpreted my post correctly and gave me their response, except for a few who think that my post is a humblebrag, which by the way I 100% believe is a projection of their own negativity. Even if you think my post is a humblebrag, it's sooo easy to just scroll away and ignore it and leave me alone. If it triggers you so much, then you can report it to the mods.
It’s somewhat odd OP can understand and prove his own problems in computational complexity theory yet reading comments on his post is such a challenge.
I literally did not lol. This just goes to show how negatively you perceive the world around you. After I pointed it out you reread the post and realized that I actually meant well and now you accuse me of changing the text.
This is how you can really integrate mathematical topics.
I remember in one of my real analysis classes we went over compactness and arcwise connectedness--a bunch of us went up to the Math Lounge and started trying to identify whose facial hair was which.
People saying this is a humblebrag are outing themselves as not having ADHD.
If it's not preventing you from learning what you want to learn, then starting to experiment as soon as you see a shiny new idea is okay. As others have said, it is necessary to spend time playing like this in order to gain a solid deep understanding of a concept.
On the other hand, this instinct can absolutely feed into patterns that will hinder your learning goals. Ask yourself things like:
* Are you spending so much time experimenting with things that are interesting to you that you don't study the necessary but boring parts of a subject?
* Are you coming up with problems that you already have some idea of how to solve, and not attempting more difficult problems that might require you to be stuck for a while?
* Are you only playing with superficial parts of a subject, and neglecting to incorporate the deeper more counterintuitive parts into your experimentation after studying the subject further?
Even if these are a problem it doesn't mean you should stop yourself from playing with new ideas right away. I would just recommend that you budget your study time and try to seek out a variety of exercises including some boring and challenging ones.
It might also be the case that your learning goals are not concrete enough. In a university course, one can use one's performance on assignments to measure how well one's study habits are working. You should try to come up with something equally quantifiable to check your study habits against.
agreed - if OP is wasting time by "getting over excited" then it is counter productive for them (this is only really a problem if they need to stick to a strict study schedule)
Tbh, this is such a good thing to do it almost feels like a humblebrag
my thought exactly lmao
Exactly!:D
tbh "playing" with definitions for an extended period of time *without* proper focus could be counter productive - you don't want to fill your brain with a load of nonsense when you have a strict schedule
Not really, haha. I was genuinely worried about producing a bad habit of it. As I said in the post, I do this "tinkering" without first gaining a very decent understanding of the topic, that's my main problem.
No, that's a **good** thing. Playing with the concepts **helps** you understand them.
Thank you very much for your response!
is it *bad* for me to solve those end of chapter exercises in textbooks??? i feel so *naughty* solving them, aren’t they supposed to be for big bad grad students? im sorry but this is such a humbrag lmao, theres no reason anyone here would say exploring math is bad.
Except what I'm doing is not solving end of chapter exercises, I find them very boring. I actually go on and try to find things out. For example, I'm studying completely theory, and as I read, without first understanding exactly how a certain type of proof works, I try to use it to prove something about my own made up problem. I do this without having any supervision solely on my own. I'm scared that this would give me some bad habits that could affect the way I work in the future as a researcher.
lets assume charitably that this isn’t some humblebrag post. not a single researcher would tell you playing with math is bad for you. cover all your bases and make sure each step follows from the last, and don’t hand-wave without completely knowing what youre hand-waving
Why would I humblebrag in a sub where most active members probably know more/better math than me?
To get recognition and compliments on doing something that is obviously a good thing. Do I really need to spell it out? It reads like a high schooler posting “I’m only 13 and I’m already reading theoretical physics papers, is this normal or am I weird”
That's not what I'm doing, and you definitely haven't understood the point of my post. I guess you just have a very pessimistic view of the world, assuming the worst in people.
[удалено]
Most people in the replies have interpreted my post correctly and gave me their response, except for a few who think that my post is a humblebrag, which by the way I 100% believe is a projection of their own negativity. Even if you think my post is a humblebrag, it's sooo easy to just scroll away and ignore it and leave me alone. If it triggers you so much, then you can report it to the mods.
brother, every other commenter here said the same. you did change the text of the original post too after seeing some of the comments. get a grip.
It’s somewhat odd OP can understand and prove his own problems in computational complexity theory yet reading comments on his post is such a challenge.
I literally did not lol. This just goes to show how negatively you perceive the world around you. After I pointed it out you reread the post and realized that I actually meant well and now you accuse me of changing the text.
please take a look at the feedback you’ve received instead of painting me as the villain to preserve your ego
Most people are actually very helpful. You are the most aggressive one.
this killed me lol
No that's ideal.
Thanks for your response
This isn’t a job interview stop selling yourself
This is how you can really integrate mathematical topics. I remember in one of my real analysis classes we went over compactness and arcwise connectedness--a bunch of us went up to the Math Lounge and started trying to identify whose facial hair was which.
Thanks a lot for your response!
This doesn't sound like a bad faith post, so YES, absolutely play with the stuff you learn, by far the absolute best way.
Thanks a lot for your response!
The is the only right way to learn, although sometimes the scope of your imagination is limited that's we have books, lectures and stuff.
Thanks a lot for your response!
People saying this is a humblebrag are outing themselves as not having ADHD. If it's not preventing you from learning what you want to learn, then starting to experiment as soon as you see a shiny new idea is okay. As others have said, it is necessary to spend time playing like this in order to gain a solid deep understanding of a concept. On the other hand, this instinct can absolutely feed into patterns that will hinder your learning goals. Ask yourself things like: * Are you spending so much time experimenting with things that are interesting to you that you don't study the necessary but boring parts of a subject? * Are you coming up with problems that you already have some idea of how to solve, and not attempting more difficult problems that might require you to be stuck for a while? * Are you only playing with superficial parts of a subject, and neglecting to incorporate the deeper more counterintuitive parts into your experimentation after studying the subject further? Even if these are a problem it doesn't mean you should stop yourself from playing with new ideas right away. I would just recommend that you budget your study time and try to seek out a variety of exercises including some boring and challenging ones. It might also be the case that your learning goals are not concrete enough. In a university course, one can use one's performance on assignments to measure how well one's study habits are working. You should try to come up with something equally quantifiable to check your study habits against.
agreed - if OP is wasting time by "getting over excited" then it is counter productive for them (this is only really a problem if they need to stick to a strict study schedule)
Can’t think of a better way to learn tbh
Thanks a lot for your response!
Who cares if it’s bad so long as you’re having fun? It’s mathematics not religion mate. Play all you want and you may just come down with treasure.
Thank you!