I haven’t written in a while. So let’s get down to the meat-and-potatoes.
So, I went to a throat specialist, and he said I have no problems. My lymph nodes [which have been swollen for something like, a month and a half] are probably just doing it because they like doing it. Either way, he gave me Biaxin, which is gigantic in pill-form, and told me to take them for 7 days. And then he told me to come back and see him IN MID-JULY. Ugh, so far away. This thing bothers the hell out of me.
Besides that, I’ve been okay. I’ve been trying to keep up with classes and all, but it’s really difficult. Algebraic topology is a real bitch, and the homework takes so long. The assignment was due today, but I still haven’t gotten most of the problems! Agh. Oh well.
Complex and algebra are still kind of fun. Algebra midterm on friday. It feels like we really didn’t cover much, though, so it’s kind of…I’m unsure of how to feel about it. Complex is next thursday. I need to really study because the homework has been sort of find-theorem-to-use and plug-in-numbers. So, really, I need to work on that.
I have a love-hate relationship with people who think they’re too smart to go to school. On one hand, I admire them because of their bravery in not playing by the rules — you know, not getting stuck in the corporate machine. On the other hand, I hate them because they think that by not going to school, they’ll get more done. Maybe this is true at some colleges, but I know that if I wasn’t working in college right now, I would not know 1\100th of the things I know now. Math or otherwise. Working alone is fine, and I try to do a lot of independent work to keep my mind active and to not get bored with maths, but I think that some things are just easier to learn if you learn it from someone who already knows it. Especially in the sciences, since much of the work is so abstract that it’s difficult to form a picture of it in your head — so it’s nice to see how other people who already’ve worked in the field for a while think of it.
Even in the sort of gender-studies, anthropology, sociology, philosophy, english, history, etc. fields, I feel it would benefit individuals to go to school. I don’t know as much about these, but I know that taking one class on Freud was better for my understanding of his theory than reading the whole book by myself. It’s just nice to know WHAT to read and WHAT is important and WHAT isn’t — I do like to read books on my own, but it’s difficult to differentiate what is important from what isn’t. Case in point: reading Hegel by myself was virtually undo-able. I wasn’t able to find a teacher here to go over it with me [because i didn't look] but I was able to find a lesson plan and lecture notes from another university’s class on Hegel. It helped a lot to know what to skim over and what was important, as well as what the teacher thought of Hegel. But, even this isn’t the best possible way, I feel, to learn about Hegel. There is no back-and-forth with another person who knows about Hegel.
What I mean, here, is — I had an argument with someone in highschool over whether college was necessary. One of the points they brought up was that you can really just read lecture notes and things [esp. the MIT website which has "open courses" with often-videotaped lectures] and learn the subject. While this may be true for many individuals, and while this may be true at those who are already sufficiently learned in the field that they’re studying [eg: Now I can sit down and read a book about curves and sort of "get" everything -- but that's just because I've had so many other classes drilling similar ideas into my head.], it is often NOT true for individuals getting started in any particular field. There is, I feel, a necessary back-and-forth that needs to take place between someone who “gets it” and someone who doesn’t. So why can’t you just talk to your friend about Hegel or vector spaces or whatever? You can. But I feel this isn’t as effective as the disciplinary system that many universities have set up. Why care about grades if they’re not going to grad school? It’s a completely arbitrary system — but on the most part, it works. It motivates work. And working motivates more work. I never thought that I could do so much work until I came to the university and actually *did* [or. tried to.] do it. It’s insane. I used to think that reading a section of math a night was a lot. Now I’ve got to read whole chapters a night just to supplement the normal stuff I need to be doing.
Point? The back-and-forth between a friend is not nearly motivating enough, I feel. And one person even brought up to me, “yeah, but can’t you find a friend who’s teaching a class? or make friends with a teacher?” Then besides the money, what’s the difference between this and going to classes? Well, I guess the classes part — and the saving money part — but I feel that to be against university learning and then going to a university professor or even a teacher for help on problems is like being a vegan on principle but eating meat because you need the vitamins. Not that there’s anything wrong with that, I guess.
I guess what I’m really trying to say in all of this is: you have no right to be pretentious and all-knowing, kid. I do. So suck it.
But speaking of pretentiousness, I’m trying to go over Category Theory now — and it’s really incredible. I took out some Intro to Category Theory book, and it’s surprisingly readable. I suggest that anyone who hasn’t been introduced to it yet, get into it. It’s kind of cool.
Oh. And Hegel, Sartre, Deleuze, Nietzsche, etc, etc, etc, reading that my lazykingmonarchy was talking about? That’ll have to wait. I’m reading through Hegel now, but I can only do a little bit at a time, so obviously I won’t be able to even get into anything major until, at least, the summer. Or maybe I’ll just cop out again and forget it. Ugh.
Lastly, because of its surprisingly accessible nature, I feel like everyone should learn a little number theory. I’m going to try to start putting little exercises at the end of my posts again: try to answer them! I promise to not make them too hard. Here’s one that I was thinking about the other day in complex:
Produce a formula for the sum of the numbers from 0 or 1 to n such that no number in the sum contains the digit r = 0,1,2,3,4,5,6,7,8, or 9.
For example. Take r = 4. The sum from 0 to 20 is:
0+1+2+3+5+6+7+8+9+10+11+12+13+15+16+17+18+19+20 = [(19)(20) \ 2] – (4 + 14).
So for numbers like this, you may have a nice formula. But consider r = 1 from 0 to 20. Then
0 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 20 = [(19)(20)/2] – (10 + 11 + 12 + … + 19 + 1).
Hint: for a start, try 0. Then you just take out every multiply of 10.