Recent content by x→∞

It works, I never knew you could do that. I went on to summations, etc., as I am in Pre-Calculus and we go through all the steps, definition of integral and the such... Thanks!

f(x) = 2x^3 [1,3] \int_1^3 2xdx

They are related, like anything else you learn. Your mother language, the one you speak best, is usually the one you learn and hear from the very beginning of your life. Same with mathematics, you begin understanding it little by little from a very young age.

So according to what you said, space can contain a finite amount of matter (finite volume), although space itself is infinite? If the volume is finite, it must have a finite shape and boundaries in which the finite volume is contained. Then what is beyond those boundaries? It's impossible to...

By micro scale do you mean the Planck length? I understand what you are saying, you're right. All together, an infinite amount of seeming-to-us as being nothing (in reality being extremely tiny amounts of something) may add up to be quite a large amount of something? Or would the quantity/mass...

I see what you mean. I don't believe genetics is a factor here, but mostly the environment in which you are raised ("nature vs. nurture"). Even from an extremely young age you are able to grasp very simple mathematical skills. The question is whether somebody put in the effort to help you grasp...

Are you born with out-of-this-world math skills? No, you learn them later on. Math isn't some genetic trait that you're "born with", it takes time to learn it, and to excel at it. If you are especially dedicated, you may someday know math to a point at which one may tell you you were probably...

Finite does not imply boundary. Infinity and unbounded are two different concepts. For example consider a spherical object. If you are a two dimensional creature embedded in the surface of a sphere, and you start moving in the same direction (you can only travel forward or backward and up and...