Originally Posted by
Mzzkc
I was just showing in simple, recognizable terms (I avoided real notation, statistics [what a nightmare that would be], set theory, and just stuck with basic calculus concepts and elementary probability), that if you what you say is true, the math points to Psychic's never making correct predictions.
This is because when you figure out your event space for a "hit", given infinite universes, you're looking at 1 correct universe in ∞ universes.
The probability of that event space can be represented as 1/∞ which evaluates to 0 when you make use of limits.
Super basic stuff. Just giving you props for assisting in a mathematical "proof" for the uselessness of psychic predictions under the criteria you've laid out.
Edit: Even if you argue "Hey, what if the prediction holds true in multiple universes?" we can expand that event space to as large a number you want and get the same results.
A tad more formally this time.
Given:
N := ∞
U = {u.1 ... u.N}
P = {p | p ∈ U}
P ⊂ U ; and thus P is finite
We find:
Total Space = U
Event Space, X = {P ∩ U} = P
Pr(X) = X/U = P/U
eval(P/U) = lim U -> ∞ of P / U = 0
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