I thought asians were good at math, I guess they are only good at improving on other people's ideas. The entire of asian culture is derived from Hinduism, they have created nothing of their own! Perhaps they should all be killed, or just the japanese since they are the only ones without souls and that would be more humane. However Japanese are the only asians who don't suck.
Tricky.
What's the solution 4 chan?
Name:
Anonymous2006-07-18 21:52
If you want to turn this into a philosophical debate, you could use the Zen meditation on the idea that even nothing is something, and that everything is something. That's fun, but it has no place in /sci/.
I studied set theory and recursion a few semesters ago. Correct me if I'm wrong, anyone. Here is what I remember of using recursion to define the natural numbers in terms of set definitions. Using @ as null-set symbol), and using the Generator function n+1 = {n}, I get:
0 = @ (as explicitly defined. Zero is null.)
1 = {0} (using Generator defined as n+1 = {n}
2 = {1} = {{0}}
... und so weiter.
So then, to restate what the OP said, using the integers' representations:
0 = {0} = {...{0}...}
This is wrong. x =/= {x}. Watch those brackets, they're tricky.