Statement and Interpretation
Mathematically, Bayes' theorem gives the relationship between the probabilities of and, and, and the conditional probabilities of given and given, and . In its most common form, it is:
The meaning of this statement depends on the interpretation of probability ascribed to the terms:
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“Truth is that concordance of an abstract statement with the ideal limit towards which endless investigation would tend to bring scientific belief, which concordance the abstract statement may possess by virtue of the confession of its inaccuracy and one-sidedness, and this confession is an essential ingredient of truth.”
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