Or, by extension, ∞-∞, or even ∞/∞. If it has ∞ in it, the answer is always ∞.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
Come to think of it, I've only studied ∞ as a limit... Anyway, does this make sense? I mean, it matters what kind of ∞ you're talking about....
eta: I was taught (or else I just decided this) that ∞ is not to be treated as a number at all, just a limit....
eta²: There are infinitely many integers > 0, but there are infinitely many real numbers between 0 and 1. So the number of real numbers is a higher order infinity (or something) than the number of integers.
This thread could be mathier. There should be more math.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
I stand corrected.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
This is true. Usually, ∞/∞ is said to be undefined.
Come to think of it, I've only studied ∞ as a limit... Anyway, does this make sense? I mean, it matters what kind of ∞ you're talking about....
It absolutely depends. I've been assuming we are taking ∞=Aleph-null, but that's probably just me...it's a number in the sense that it's the number of elements in the set of the integers, for example.
ARRRGH!! Call out the Marines!! They're using the Weapons of Math Destruction!!!
Well, if you're me, you look at the infinite signs and go, "boobies!", which takes away the math-pain considerably.
Just trying to live up to the thread title.
Well, if you're me, you look at the infinite signs and go, "boobies!", which takes away the math-pain considerably.
Because, of course, boobies/boobies = porn.
boobies/boobies = porn.
A bosom divided against itself cannot stand.
At least not without some serious support.
A bosom divided against itself cannot stand.
Surely I am not the only one here old enough to recall the "It lifts
and
separates," commercials?