Abstract
In the late eighteenth century Newton's Principia was studied in the Scottish universities under the influence of the local school of ‘Common Sense’ philosophy. John Robison, holding the key chair of natural philosophy at Edinburgh from 1774 to 1805, provided a new conception of ‘mechanical philosophy’ which proved crucial to the emergence of physics in nineteenth century Britain. At Cambridge the emphasis on ‘mixed mathematics’ was taken to a new level of refinement and application by the introduction of analytical methods in the 1820s. The fusion of these two schools, with emphasis on conceptual unity on the one hand, and mathematisation on the other, came about from the 1830s onwards, and reached full expression in the new framework of a unified mathematical physics based on the energy principle