This thread is just what the title says it is. It is all about Math. You can post math jokes(the jokes don't have to be good), math questions, what you like about Math, or even why you hate Math.
My math joke: Resistance is not futile. It is voltage divided by amps.
I assume {the set of all subsets of the set of all natural numbers} has the same as {the set of all natural numbers} {the set of all subsets of the set of real numbers} has the same as {the set of all real numbers}
I assume {the set of all subsets of the set of all natural numbers} has the same as {the set of all natural numbers} {the set of all subsets of the set of real numbers} has the same as {the set of all real numbers}
{the set of all subsets of set A} is called the power set of set A. And, interestingly, the power set of set A is ALWAYS strictly greater than set A, for any set A.
It turns out that the power set of the set of all natural numbers has the same size as the set of all real numbers, and the power set of all real numbers is... large.
On that note, we say that the set of all natural numbers is countably infinite (which makes sense, because you can count them..) and the set of all real numbers is uncountably infinite, and is therefor larger. Then, what does that make the power set of real numbers (call it p(r) for short)?
In typical math people fashion, we just make up a new variable (A Hebrew letter pronounced bet, written as the "beth number" ), and say that is the size. So, |p(r)| = b2 > |r|=|p(n=natural numbers)|)=b1 > |n=natural numbers| = b0 (|c| is the size of z... its the same thing as absolute value)
But... then we have p(p(r)) = b3 And p(p(p(r))) =b4 and... And it just keeps getting bigger.
In fact, you can* construct sets that are SO big, they don't have to exist according to the laws of math. So, math people just make a new law, saying that it does exist (really, that's how math works. You can't delete anything from the constitution, but you can add non-contradicting things to it.)
You'll probably never find a reason to use it if you're not going to go into science, math, engineering, econ, and other mathy fields, except when you need to make a dugout canoe.
Luckily in real life I can just use my calculator.
Well... you still need to have a deep understanding of how it works. After you get beyond the very basics, calculating is usually left to computers and whatnot, but technology can't help you come up with the desired equation in the first place.
Seeing how I like every part of math
That's because you don't know every part of math. As you learn more, I'd be willing to bet you add more and more things to the "hard" category.
On that note, what is everyone's least favorite part of math?
For me, it'd probably be simple calculations. I make a lot of lazy mistakes. I'm better at proofs, because you can't really make lazy mistakes there.
Eh, I'm more of a social science guy. I enjoy math, but I don't enjoy taking it in school; it seems a little pointless. Not that I don't see its applications, I just don't see them in my life. My Calculus teacher is brilliant though, that makes math a bit more entertaining.
Are you not counting electives? Usually electives are my favorite.
I only like first grade math because u don't need to do anything... Just kidding.... I think I liked algebra the most of all types of math i had too do for school...
