7.25.2007

My Infinity is bigger than your infinity

Although, in hindsight, it really is intuitively obvious, it has been proven that infinity comes in different sizes. Mathematically, this is interesting, as it'll likely sprout a new branch of mathematics or something within the century. Or not, and it'll be cool anyway. In any case, I'll post a link, and the basic idea of it. Picture the set of natural numbers - it is infinitely large - now picture the reals, of which the naturals are a proper subset. The reals are also infinitely large, but a larger infinity, because the naturals are a proper subset. If you're not a mathie, the article does explain more clearly (and with the formal proof too, so its better both ways). Anyway, later.