The frequentist interpretation of probability: its inapplicability to singular events

Abstract

The interpretation of probability, dominant in mathematics and other scientific disciplines, that defines the probability of an event S, relatively to a sequence or class of events C, as the quotient of the number of cases in which S occurs and the total number of occurrences of events in C, that is, as the frequency of S relative to the sequence C, is critically examined, in order to obtain the conclusion that such notion of probability is not applicable to singular events.