I thought about how induction relates to the probability of something, and I came up with this formula. Induction is here taken as repeated confirming observations of some theory or hypothesis. Formula. When the amount of confirmed observations, O, of a hypothesis goes towards infinity, then the probability of the hypothesis given the observations, Pr(H|O), goes towards 1 unless defeated by other evidence.
Induction and a probability formula
Induction and a probability formula
Induction and a probability formula
I thought about how induction relates to the probability of something, and I came up with this formula. Induction is here taken as repeated confirming observations of some theory or hypothesis. Formula. When the amount of confirmed observations, O, of a hypothesis goes towards infinity, then the probability of the hypothesis given the observations, Pr(H|O), goes towards 1 unless defeated by other evidence.