Be that as it may, our task is to discover the application of Hume’s
skepticism to our own problems in some clear example. Let us suppose
that there are a dozen instances of people who grew to be from 120 to
140 years old. These instances occur among countless millions of cases
in which such an age was not reached. If this small proportion is
recognized, it justifies the postulate that nobody on earth may attain
to 150 years. But now it is known that the Englishman Thomas Parr got to
be 152 years old, and his countryman Jenkins was shown, according to the
indubitable proofs of the Royal Society, to be 157 years old at least
(according to his portrait in a copper etching he was 169 years old).
Yet as this is the most that has been scientifically proved I am
justified in saying that nobody can grow to be 200 years old.
Nevertheless because there are people who have attained the age of 180
to 190 years, nobody would care to assert that it is absolutely
impossible to grow so old. The names and histories of these people are
recorded and their existence removes the great reason against this
possibility.
We have to deal, then, only with greater or lesser possibilities and
agree with the Humian idea that under similar conditions frequency of
occurrence implies repetition in the next instance. Contrary evidence
may be derived from several so-called phenomena of alternation. E. g.,
it is a well known fact that a number in the so-called Little Lottery,
which has not been drawn for a long time, is sure finally to be drawn.
If among 90 numbers the number 27 has not turned up for a long time its
appearance becomes more probable with every successive drawing. All the
so-called mathematical combinations of players depend on this
experience, which, generalized, might be held to read: the oftener any
event occurs (as the failure of the number 27 to be drawn) the less is
the probability of its recurrence (i.e., it becomes more probable that
27 will be drawn)--and this seems the contrary of Hume’s proposition.
It may at first be said that the example ought to be put in a different
form, i.e., as follows: If I know that a bag contains marbles, the color
of which I do not know, and if I draw them one by one and always find
the marble I have drawn to be white, the probability that the bag
contains only white ones grows with every new drawing that brings a
white marble to light. If the bag contains 100 marbles and 99 have been
drawn out, nobody would suppose that the last one would be red--for the
repetition of any event increases the probability of its occurrence.
Public-domain text, read in full here on John Shaqi.
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