How Probable Is an Infinite Sequence of Heads?

Analysis 67 (3):173 - 180 (2007)
Isn't probability 1 certainty? If the probability is objective, so is the certainty: whatever has chance 1 of occurring is certain to occur. Equivalently, whatever has chance 0 of occurring is certain not to occur . If the probability is subjective, so is the certainty: if you give credence 1 to an event, you are certain that it will occur. Equivalently, if you give credence 0 to an event, you are certain that it will not occur . And so on for other kinds of probability, such as evidential probability. The formal analogue of this picture is the regularity constraint: a probability distribution over sets of possibilities is regular just in case it assigns probability 0 only to the null set, and therefore probability 1 only to the set of all possibilities.
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References found in this work BETA
Vann McGee (1994). Learning the Impossible. In Ellery Eells & Brian Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision. Cambridge University Press 179-199.
Karl R. Popper (1955). Two Autonomous Axiom Systems for the Calculus of Probabilities. British Journal for the Philosophy of Science 6 (21):51-57.

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