Even
if there are any infinite number of mutually exclusive religions each
with a probability of some unique negative integer power of two, such
that;
1/2,1/4,1/8,1/16...
And your religion is that which bears
the probability 1/2, then the probability of your religion not being the
right one is equivalently 1/2, since the limit of the series is 1. And
even this is far too generous, since we assumed many things we were unaware of, such as
1.) There is a true religion
2.) The probability distribution for truth of all mutually exclusion religions may be given as the series 1/2+1/4+1/8...
3.) Supporting evidence that would allow partial construction of a probability distribution.
4.) The highly fortunate circumstance that the religion ascribed to by
the believer is assigned the highest probability of truth of any single
religion within the distribution.
Without these assumptions,
however, the situation of choosing the correct religion is nearly
impossible. And if faith is the only evidence one has for the
correctness of their religion, anyone else's faith in any other belief
is just as potent a demonstration of truth, which then lends equal
probability to these contrasting assertions.
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