/sci/ - Science & Math

>>4386005

is that a louis wain?

>>4301103

http://en.wikipedia.org/wiki/Summation_of_Grandi%27s_series#Stability_and_linearity

http://en.wikipedia.org/wiki/Grandi%27s_series#Heuristics

The series is divergent. The only way to prove that the sum is 1/2 is by performing manipulations on it that are only valid for convergent series. This is circular reasoning, and you can use it to prove several other sums for the same series, presenting a paradox.

>>4286669

>Ok, but conversely, you can force yourself to drink water when your body isn't telling you to drink it.

You are your body. That's the same process I said earlier.

>>Oh, you believe in free will

I guess I should define free will. Metaphysical free will is pretty much bunk. There's no evidence of dualism and it's not a particularly useful idea. I actually do believe in the compatibilist idea of free will, which basically means you are able to react to stimuli. It's not really free will, but the appearance of free will, although pragmatically it really makes no difference.

Tldr: You're a great big complex biological computer. It's awesome, but it's not "universal" and it's not magic.