The principle of indifference (also called principle of insufficient reason) is a rule for assigning epistemic probabilities. Suppose that there are n > 1 mutually exclusive and collectively exhaustive possibilities. The principle of indifference states that if the n possibilities are indistinguishable except for their names, then each possibility should be assigned a probability equal to 1/n.
In Bayesian probability, this is the simplest non-informative prior. The principle of indifference is meaningless under the frequency interpretation of probability, in which probabilities are relative frequencies rather than degrees of belief in uncertain propositions, conditional upon a state of information.
Read more about Principle Of Indifference: Examples, Application To Continuous Variables, History of The Principle of Indifference
Famous quotes containing the words principle of, principle and/or indifference:
“From the age of fifteen, dogma has been the fundamental principle of my religion: I know no other religion; I cannot enter into the idea of any other sort of religion; religion, as a mere sentiment, is to me a dream and a mockery.”
—Cardinal John Henry Newman (18011890)
“In some things, we Americans leave to other countries the carrying out of the principle that stands at the head of our Declaration of Independence.”
—Herman Melville (18191891)
“Old age is far more than white hair, wrinkles, the feeling that it is too late and the game finished, that the stage belongs to the rising generations. The true evil is not the weakening of the body, but the indifference of the soul.”
—André Maurois (18851967)