Quote:
Originally Posted by jtwang
How would you determine f(x) == g(x) exactly  since the set of possible hypotheses is infinite (3 reals), wouldn't Pr(f(x) != g(x)) == 1? Obviously you could choose some arbitrary epsilon but then that wouldn't be "exactly."

is per point
. It may be true for some
's and false for others, hence the notion of
probability that it's true (probability with respect to
). We are not saying that
is identically equal to
.