 An adequate treatment of the likelihoods calls for the introduction of one additional notational device. Scientific hypotheses are generally tested by a sequence of experiments or observations conducted over a period of time. To explicitly represent the accumulation of evidence, let the series of sentences \(c_1\), \(c_2\), …, \(c_n\), describe the conditions under which a sequence of experiments or observations are conducted. And let the corresponding outcomes of these observations be represented by sentences \(e_1\), \(e_2\), …, \(e_n\). We will abbreviate the conjunction of the first n descriptions of experimental or observational conditions by ‘\(c^n\)’, and abbreviate the conjunction of descriptions of their outcomes by ‘\(e^n\)’. Then, for a stream of n observations or experiments and their outcomes, the likelihoods take form \(P[e^n \pmid h_{i}\cdot b\cdot c^{n}] = r\), for appropriate values of \(r\). In many cases the likelihood of the evidence stream will be equal to the product of the likelihoods of the individual outcomes: