The Relation of the Principles of Logic to the Foundations of Geometry

Infinity and the Self: Royce on Dedekind

“…But keeping this in mind will help us to understand in which direction the developments in The World and the Individual, to which I will now turn, are heading. Royce's (1900) main issue is "the problem of Being," whose epistemological side can be summarized in this way: how to articulate thought, and the world, 20. Gabriel Marcel (1945) presents a good general introduction to Royce's philosophy; Marcel's work was translated in English in 1956 as Royce's Metaphysics by V. and G. Ringer, and published by Regnery.…”

“…in such a way as to make rational inquiry possible? Thought can comprehend the world, but it can also fail in this task, and the four conceptions of Being that Royce (1900) presents all aim at relating thought and world so as to encompass both possibilities. Lectures 2-4 are devoted to Realism (the first conception) and Mysticism (the second one); lectures 5-6 are dedicated to modern Critical Rationalism (Kantism, the third conception); and lectures 7-10 explain the fourth conception, Royce's own version of idealism.…”

“…In the third conception, thought and Being are no longer juxtaposed next to each other; distinct, neither of the two poles can be conceived independently of the other. To explain this relation, Royce (1900) borrows from Bradley the terminology of the what, or internal meaning, and the that, or 22. Royce (1900, 57): "These two aspects of our lives, the immediate aspect and the ideal aspect, then show themselves in sharp contrast.…”

“…23. Following Schopenhauer, Royce (1900), in his explanation of Mysticism in lecture 3, gives a central role to Hinduism. For a discussion of the Hinduist view of the Self and its dissolution in the Being, see Royce (1900, 165-68).…”

“…Royce was interested in logic early on in his career, but Royce's attendance, in 1898, at a series of lectures by Charles S. Peirce at Harvard significantly influenced his understanding of the relation between logic and metaphysics (see Parker 2012). In 1905, he published a long and a quite technical paper generalizing Alfred Kempe's multiset theory and geometry. 3 But above all, it is as a 1.…”