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What is the relation of an earlier being to a later such that given the earlier there is or will be a later? I call this the question of material continuation. To answer, I offer a review of several philosophers’ thoughts, including those of Zeno, Aristotle, Descartes, Bertrand Russell, Henri Bergson, and Alfred North Whitehead. While there is considerable variety among the ontological views of these philosophers, and indeed some direct opposition of both method and assertion, my review suggests that material continuation may be explained by reference to a principle of continual creation. This principle is reflected in Aristotle's unmoved mover, in Descartes's account of God's activity in persistence, in Bergson's concept of la durée, and in Whitehead's principle of creativity. It disappears from view in objective methodologies first emerging in pre-Socratic thought, made rigorous by the development of science by the modern philosophers such as Descartes, and realized in the scientist philosophy of Russell. I include some consideration of whether the creative principle might be ideal or divine.