IF A+B=A+C THEN B=C
∞+1=∞+473829
THEREFORE 1=473829
Cue "Infinity doesn't work that way!"
But soft! What rock through yonder window breaks? It is a brick! And Juliet is out cold.The problem isn't infinity, the problem is that the addition function is only well-defined for real numbers!
ERROR: The current state of the world is unacceptable. Save anyway? YES/NOTransfinite numbers aren't real numbers, and "nonreal" isn't actually in math.
[1] This facsimile operated in part by synAC.
That.
(Amendment to my previous assertion: the addition function is well-defined for all numbers on the complex plane, and possibly other sets that I don't remember, but still not for transfinite numbers.)
ERROR: The current state of the world is unacceptable. Save anyway? YES/NO[cries inside]
...How does an abstracted non-sapient system of truth statements desire to kill you? And, more practically, how would it succeed?
ERROR: The current state of the world is unacceptable. Save anyway? YES/NOWhen was the alst time you talked to math? There's something eerie about a clockwork universe of perfect reason and logic no?
It would make my brain divide by zero, or compute the last digit of pie, sending me into a vegatative state. Or screw up probablity.
X = Death.
Charlie Tunoku is a lover and a fighter.Well, I might prefer that to a universe where my brain could spontaneously be replaced with a toaster.
[1] This facsimile operated in part by synAC.I've never "spoken to" math per se, but I interact with it on a daily basis.
edited 1st Nov '10 6:30:09 PM by Noaqiyeum
ERROR: The current state of the world is unacceptable. Save anyway? YES/NOI think that you very indirectly answered your own question!
[1] This facsimile operated in part by synAC.Another example of groups (even a field) with well defined "+" would be modular arithmetic with prime numbers.
Pour y voir clair, il suffit souvent de changer la direction de son regard www.xkcd.com/386/

"Eleven was a racehorse, Twenty-two was one too, Eleven won one race, Twenty-two won one too"? That last part could also be "Twenty-two won twelve".
I feel uneducated since this whole math derail is flying over my head. I'll come back in a few years and understand all of this, I swear! /shakes fist
Tumblr here.