Abstract

This set of problems first came to light with the Eleatic criticism of Pythagorean theory, and dramatically revealed their importance in the paradoxes of Zeno, which have retained their relevance down the ages, and play a significant role, as we shall see, in the thought of Whitehead. In antiquity Aristotle had attained the clearest realization of these problems. It was in terms of them that he analyzed and rejected the theory of Leukippos and Demokritos of atoms and the void, and worked out his own alternative theory. In the Renaissance these problems became crucial again, especially in the thought of Bruno and Patrizzi. Leibniz saw them as the basic issue presented by the theories of the seventeenth century, and it was in terms of these problems that he made his examination of Descartes' doctrine of res extensa, of Gassendi's revival of Democritean atomism, as well as of Newton's doctrine of space. Insufficient attention to these problems had resulted in his contemporaries getting caught in what he referred to as the "labyrinth of the composition of the continuum"-adopting this phrase from the title of a book by Libertius Fromond which had been published in 1631. Leibniz believed himself to have found the Adriadne's thread out of the labyrinth in the conception of body, as well as of space and time, as phenomenal. In Kant's view this way out was tenable only with a considerable philosophical reconstruction, which he provided with his transcendental philosophy.