But why do we say that an even-sided disk, thrown at hap-hazard, is as
likely to fall head up as it is to fall tail up? Because observation
in the past has taught us that such is the case. We may reason
subsequently about momentum, gravity, and the like, but observation
lies at the bottom of our knowledge. Very well. The sun rose this
morning. I know that. What is the chance of its rising tomorrow morning?
If I know nothing but what I have stated, the chance, from my point of
view, is as one to one. The odds are even, nothing more. It is just
as likely not to rise as it is to rise. From the standpoint of an
Omnipotent God, this is not the case. He knows whether it is going to
rise or not. To God there is indeed no chance.
But to mankind at large? Surely the chances of the sun rising tomorrow
are better than even? To be sure they are. For mankind at large knows
not only that the sun rose yesterday morning, but the morning before
that, and on ever so many other mornings. How many? Upon the answer
to this question rests the actual chance of its rising again, for the
answer shows the amount of our knowledge. The more knowledge, the more
certain the chance.
Let us say we know that the sun has risen for a billion mornings.
Tomorrow, if there be a tomorrow, will mark a billion and one. Then
there are a billion and one events, or sunrises, under consideration,
and only one of them is still in doubt. The chances of the sun’s rising
tomorrow are therefore a billion to one. If we know it has already
risen a trillion times, they are a trillion to one. As knowledge
increases, certainty approaches.
I have heard it objected that, according to this theory, the chance
of a one-year-old child to live another year must be only even, while
a man of 99 has 99 chances in a hundred of rounding out his century.
This would indeed be true if we knew nothing about either babes or
nonogenarians but their years. But we have a great deal of other
information--statistics--bills of health. We must put all of our
knowledge into the calculation.
Public-domain text, read in full here on John Shaqi.
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