I went to the city today. I’ll update quickly: 3 shirts, 1 pair of shoes, 1 bathing suit, and that’s about it.
For some reason, I’m constantly worried about getting my homework done on time this quarter. I mean, it’s always important, but this quarter I’m really stressin’ over it. I really need to do the reading for sosc, I really need to do graph theory, I really need to do the gesture stuff, and I really need to do analysis. We’re going into 5th week, I think, which marks around the halfway point, so at least I’ve got that going for me. And the weather is great. Really. It’s finally warm out — and hopefully, it’ll be warm for a few more days before the temperature plunges back into the thirties.
I don’t know what it is, but my Firefox isn’t working. At all. Period. How am I updating? Well. Well.
This has kept me occupied, instead of Sosc reading, for something like two and a half hours. I’d suggest reading the first ten pages, then read it at 50 page intervals.
It always upsets me that I didn’t get into a computer-based field. I love computers, and I love learning things about’em. I think it really just was all too much for me to handle. Everything was just so overwhelming, and I didn’t know where to start. I’m gradually picking things up, but like an old man trying to fit in with a new generation, I generally get pwnd.
According to weather.com, the lowest average temperature’s going to be on Thursday — of, about, 45 degrees. Which ain’t too shabby, no.
And I’m often conflicted about now — should I go home? Should I stay here? What do I have there? What do I have here? I’m going to be, hopefully, getting an apartment for next year and this summer, so I will have that, — but, I will need to work to pay for it. In addition, a lott’a my friends are staying here for the summer.
I do miss home, don’t get me wrong — but what do I have there? Red Bank? Starbucks? Target? I really don’t go anywhere. I’m not going to make any new friends. It’ll be the same as every other summer from 12th grade onwards. So, really, it’s a question between: do I want to relax and do nothing, or, do I want to work and learn maths?
Oh well. Okay, to bed.
Exercise: find the flaw in this argument.
Take a real number x between 0 and 1. Suppose the probability of guessing that real number x is 0 since there are an infinite number of reals between 0 and 1. Then take y. The probability of guessing x or y is also 0. Continue, until you have a countable [but infinite] set of values between 0 and 1. By the same argument above, the probabiliy of guessing ANY of them is still 0. Next, construct an uncountably infinite set of these numbers, and we will have, by the same argument, a probability of guessing any of them of 0. But, as this is uncountable, we can add as many elements as we’d like from the reals and have it stay uncountable — so, add every real between and including 0 and 1. By the same argument, we have a probability of guessing any of them of 0. Now, say we guess ANY value y between 0 and 1. Clearly, this is in every real, so we have accurately guessed a number. Clearly, the probability is, then, not zero. Therefore, the probability of guessing a real number between 0 and 1 is nonzero.