How can scientific inference be systematically grounded in the principles of Bayesian statistics? Harold Jeffreys, a distinguished geophysicist and statistician, presents a rigorous framework for inductive reasoning in science. By challenging the prevailing frequentist paradigms of his era, the author establishes a foundational methodology for assigning probabilities to hypotheses based on observed data and prior knowledge.

Experts recognize this work as a foundational text that anticipated modern developments in Bayesian statistics by several decades. Readers frequently note the high level of mathematical density and the rigorous, albeit challenging, nature of the prose.