>>13457471It's not a formal proof by any means, but I'll take
a chance.
If we don't have probability then there could only
be certainty with everything we experience--
that is, it either happens or it doesn't.
For instance, one can say that they'll get
2 heads out of 5 flips of a coin and this is certain.
However, it could have been any coin that this
decree could apply to--so which one?
A coin is picked, five flips are made and 2/5
heads occurred--it's certain. Now one decrees
2/5 heads won't happen. It's 4/5 heads--perfect.
Another decree, 2/5 heads won't happen.
All tails--so it is.
The sum total of heads is six out of fifteen flips.
The question: Is one certain that 6/15 heads
would happen? If so, it is only after the fact that
there clearly was a total of six heads, and the
previous decrees are made just before each
round of five flips--6/15 was not called before
anything. If not, how can one be certain of the
result of each round just before? It turns out that
either 6/15 can happen differently (distribution
of heads/different decrees) or a different total
of heads (contradicts running total of heads).
Thus, there have to be possibilities that exist
between the extremes of certainty--probability.
Select outcomes over all possible outcomes
and consistency regarding a priori and
a posteriori knowledge.
