This universal spirit of commerce produced, however, marine assurance very early, while the gradual progressive movements made in science and philosophy, prepared the way for assurance on life. The rude notions of an uncultivated age were succeeded by broader and more statesmanlike views; the Roman Church, with its narrow notions and its denunciations of progress, ceased to exist; men feared no longer to give a free exposition of their principles; and the Provincial Letters of Pascal prove that a new era had arrived. The doctrine of probabilities,--originated at a gaming-table,--so curious, so interesting, and at the same time so necessary to the present subject, was first popularised by this great genius; but we are indebted to Holland for its earliest application to annuities; as when the States-General resolved to negotiate some life payments, the pensionary, John de Witt, added one more obligation to the many received from this distinguished man, by employing the theory which Pascal suggested, for the requirements of his government. His report and treatise on the terms of life annuities is the first document of the kind, and a most important paper it is. Step by step it explains the grounds on which the proposition of its author was based, and by which he arrived at the conclusion that the value of a life annuity, in proportion to one for a term of twenty-five years, was really “not below, but certainly above, sixteen years’ purchase.” It is probable that from political motives this paper was suppressed; but John de Witt was certainly the first who thought of applying mathematical calculations to political questions, and the first who attempted to fix the rate of annuities according to the probabilities of life. The essay of the pensionary was, however, but little known to the public, and had no sensible influence on the subsequent progress of the science.