Except OoG should be able to have ∞+1 !'s.
I'm not sure the induction hypothesis allows for uncountable infinties.
Dude. ∞+1 is not uncountable. In fact ∞+1=∞
This is so nice. Having everyone together for my birthday. Of course, you could smash in all my toes with a hammer and it will still be the bestest Buffy Birthday Bash in a big long while.
Buffy ,'Potential'
Firefly 4: Also, we can kill you with our brains
Discussion of the Mutant Enemy series, Firefly, the ensuing movie Serenity, and other projects in that universe. Like the other show threads, anything broadcast in the US is fine; spoilers are verboten and will be deleted if found.
-t - Jan 10, 2005 4:37:03 am PST #289 of 10001
I am a woman of various inclinations and only some of the time are they to burn everything down in frustration
Gandalfe - Jan 10, 2005 7:16:00 am PST #290 of 10001
The generation that could change the world is still looking for its car keys.
Dude. ∞+1 is not uncountable. In fact ∞+1=∞
For that matter, so is ∞-1. Or ∞+∞. Or, by extension, ∞-∞, or even ∞/∞. If it has ∞ in it, the answer is always ∞.
I'm absolutely certain that there has to be a joke in here somewhere, but I can't think of one.
victor infante - Jan 10, 2005 7:23:09 am PST #291 of 10001
To understand what happened at the diner, we shall use Mr. Papaya! This is upsetting because he's the friendliest of fruits.
I'm absolutely certain that there has to be a joke in here somewhere, but I can't think of one.
This thread could be mathier. There should be more math.
tommyrot - Jan 10, 2005 7:29:58 am PST #292 of 10001
Sir, it's not an offence to let your cat eat your bacon. Okay? And we don't arrest cats, I'm very sorry.
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.
victor infante - Jan 10, 2005 7:39:40 am PST #293 of 10001
To understand what happened at the diner, we shall use Mr. Papaya! This is upsetting because he's the friendliest of fruits.
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.
-t - Jan 10, 2005 7:41:21 am PST #294 of 10001
I am a woman of various inclinations and only some of the time are they to burn everything down in frustration
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.
Narrator - Jan 10, 2005 7:44:43 am PST #295 of 10001
The evil is this way?
ARRRGH!! Call out the Marines!! They're using the Weapons of Math Destruction!!!
Vonnie K - Jan 10, 2005 7:47:52 am PST #296 of 10001
Kiss me, my girl, before I'm sick.
Well, if you're me, you look at the infinite signs and go, "boobies!", which takes away the math-pain considerably.
-t - Jan 10, 2005 7:49:10 am PST #297 of 10001
I am a woman of various inclinations and only some of the time are they to burn everything down in frustration
Just trying to live up to the thread title.
amych - Jan 10, 2005 8:34:11 am PST #298 of 10001
Now let us crush something soft and watch it fountain blood. That is a girlish thing to want to do, yes?
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.