Note 94 — Chapter IV · THE WORLD OF THINGS—(1) SUBSTANCE, QUALITY, AND RELATION
Reading edition
The fundamental defect in Professor Royce’s reasoning seems to me to lie in the tacit transition from the notion of an infinite series to that of an infinite completed sum. Thus he speaks of the series of prime numbers as a “whole” being present at once to the mind of God. But are the prime numbers, or any other infinite series, an actual sum at all? They are surely not proved to be so by the existence of general truths about any prime number.