It is a truism that philosophy and the sciences were closely linked in the age of Leibniz, Newton, and Kant; but a more precise determination of the structure and dynamics of this linkage is required. The subject matter of this volume is the interactions among the developments in philosophy and the transformations that the different branches of sciences, Baconian as well as classical, underwent during this period. Among the topics addressed are the transformations of metaphysics as a discipline, the emergence of analytical mechanics and its consequences for founding physics on metaphysics,...