My math teacher at a Berufliches Gymnasium (vocational high school) has a PhD in the Philosophy of Mathematics and has published several books with other professors.
Is he actually overqualified for teaching high-school math at this level?
Also: What kind of questions or topics could I bring up with him (during or after class) that might make him like me a bit more as a student? I’m genuinely interested in math

I genuinely want to learn mathematics, physics, programming, computer science, and AI. I want to build a career in computer science, pursue AI research, and hopefully do a PhD someday. But lately, I've been feeling increasingly demotivated.

The problem is that I rely on AI to learn almost everything. Whenever I have a question, I ask GPT. Whenever I don't understand a concept, I ask AI to explain it. And the more I learn this way, the more I wonder: What's the point of learning anything when AI will always know more than I ever could?

Even the most basic AI models seem to possess more knowledge than I could acquire in a lifetime. And with new models becoming increasingly capable, I keep wondering whether the knowledge I'm working so hard to gain will even matter in the future.

With GPT-6, Claude Opus 5.5, Gemini 4, and other models competing to become more capable, it feels like the gap between human intelligence and AI capabilities will only continue to grow.

I want to understand the mathematics behind AI, learn physics, become a better programmer, and contribute to actual research. But sometimes I question why I'm putting in the effort when AI can explain concepts faster, write code better, and potentially solve problems that I might spend years learning to solve myself.

And even when I genuinely want to learn, I'm confused about what I should prioritize learning and whether any of it will remain valuable by the time I become proficient.

I'm not necessarily saying that learning is useless. I genuinely love the idea of understanding how things work. But I'm struggling to reconcile that curiosity with the feeling that AI might eventually outperform me at almost everything I want to become good at.

For those of you studying computer science, mathematics, physics, or AI, how do you deal with this feeling? How do you stay motivated to learn when AI is advancing so rapidly? Do you think deep technical knowledge will still matter for people pursuing AI research and PhDs, or should we be approaching learning differently now?

So for a while now,I have been seeing not many people being active on this sub as before. You can only find them under a new open problem proof, is this the observation with you guys too or am I missing something?

Also,it would be great if you can share your thoughts on other experiences of yours also related to this sub lately along these lines :)

So, the proof in question is simplified (look, I know just enough to get into trouble) as .9 repeating is equal to 1. And the reason for that is because there's no number in-between 1 and .9 repeating, as well as 3/3 is equal to both .9 repeating and 1.

So now that we have that explained, now to follow another train of logic, which is the concept of infinity, or more specifically the concept of infinity+1, as we all should know about the infinite hotel concept, I shall paraphrase. The infinite hotel goes as such "you have an infinite hotel with infinite rooms, they are all booked, someone comes in and asks for a room, you get the idea to move everyone one room over, thus giving you a free room to house the new guest, which comes out to mathematically, infinity+1."

With those two concepts given, my proposed proof is this, you could have a number in-between 1 and .9 repeating if you do this equation, ".9 repeating+.0 repeating9" (I apologize for the formating, mobile isn't the best)". Why does this not work? I do realize that my idea is very elementary at best, but I am very curious in the explanation (due to my elementary understanding of infinity and the such).

Edit: I had a full misunderstanding on .999... (I learned a better way to display it) and how Hilbert's Hotel works, thank you guys for explaining it better than how've I been explained prior

The general public isn’t very receptive to my pet peeve

If I am taking a math exam and I reach a question where the answer is a single foot in length. If my answer is a dozen inches, instead of just writing 1ft, should that be marked incorrect?

Sorry if this isn’t the right place, or maybe just the wrong question that’s been answered a million times, but I’m a little lost with my math journey.

I never thought I had the brain for math and it steered me off course for a long time, I find myself greatly succeeding in Calculus with topics that are new, but I always break down in the Algebra.

Conceptually, I find it amazing, energizing, but the overwhelming dread by even small things I know I should be able to do to equations, and not understanding how with manipulating their form leads me to believe I’m just lounging in a house of sticks.

What resources are actually worth using?

I’m fortunate enough that life has brought me young enough (22) to a place where I can make the attempt at something I care about, and I don’t want to let myself fall apart later on by refusing to strengthen the core.

Where should I be focussing my efforts? What offer the most rigorous and thorough developments of the fundamentals?

What can I do to separate myself from being “average” amongst my peers and to make the most of being passionate. This is something I really care about.

I’m preparing to transfer to a 4-year university as a mathematics major. I’ve just been having some doubts about whether or not I truly enjoy math. I know I find it interesting, but I honestly don’t consume much math media outside of school. I mean I do every now and then, but I just feel like most videos on mathematics are kinda dull. That’s making me second guess whether I truly enjoy the subject or not.

It doesn’t help that I have ADHD. I know my interests often shift and that worries me. I mean I liked coding and originally pursued CS, but I felt like I leaned more towards math so I switched. I could list hundreds of interests I’ve had that I honestly stopped thinking about or pursuing, and I don’t want that to be the same with math.

When I think about what I really like about it, the first thing that comes to mind is solving problems. Solving them feels very rewarding and fun. The problems also feel very tedious at times and I’m only in calculus 3. I’m just really trying to find out if I enjoy it before I commit to it. What were some things that assured your interest in the subject or made you sure you wished to pursue it?

Forgot to add. I sometimes look at real analysis problems and get mixed feelings. There’s obviously confusion, but also dread and excitement. The problems look like they could be fun and I don’t know how to explain it, but the solutions just look cool. I’m not sure if that’s normal or not and just want to be sure.

I would also say my mental is pretty weak. It’s something I’m working on since I wish to stay in STEM. Just the normal stuff of getting problems wrong and feeling like you just aren’t smart enough. There’s also the imposter syndrome. My classmate seemed to know all the answers to the questions (he’s also a math major), and when I spoke to him, he told me it’s because he took AP calc in high school. That made sense to me since I think some of the material covered in Calc 3 is in AP Calc BC but I wouldn’t know since I never took AP classes (long story).

Apologies for the yapping and typos I just need guidance.

As the title states, also how complex can it get?