From: Peter de Blanc (peter.deblanc@verizon.net)
Date: Thu May 26 2005 - 13:30:29 MDT
Here's an example, then. Let's suppose we know that A, and we know that
A->B. This can also be written as:
P(A) = 1 and P(B | A) = 1
So using deductive reasoning:
A
A -> B
-------
B
And using probabilistic reasoning:
P(B) = P(A) * P(B | A) + (1 - P(A)) * P(B | ~A)
= 1 * 1 + 0 * P(B | ~A) = 1
Mr. Geddes, I think you may be interested in reading _Probability
Theory: The Logic of Science_ by ET Jaynes. It's a large book, but
reading the first 30 pages or so should be enough to clear these matters
up for you.
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