At the end of the 19th century, Josiah Royce participated in what has come to be called the great debate (Royce, 1897; Armour, 2005).1 The great debate concerned issues in metaphysical theology, and, since metaphysics was primarily idealistic, it dealt considerably with the relations between the divine Self and lesser selves. After the great debate, Royce developed his idealism in his Gifford Lectures (1898-1900). These were published as The World and the Individual. At the end of the first volume, Royce (...) added a Supplementary Essay. The Essay, continuing themes from the great debate, developed an intriguing mathematical model of the relations between the divine Self and lesser selves. The second volume went on to.. (shrink)

Interpretations of Peirce’s development after 1898 often mix three kinds of arguments: one argument about belief, one argument about philosophy and practice, and one argument about the causal role of James’s writings on Peirce’s development. I shall focus here on the last two points: theory and practice and the alleged role of James. James’s role in Peirce’s development is somewhat overestimated and one can doubt Peirce’s worries about the dogmatic use of the scientific method and of philosophy in morals are (...) conditioned by James’s writings only. Peirce’s re-readings and refinements of his Illustrations started no later than the early 1880s, at a time when James was not as central a reference as it became after 1900 for the philosophic stage. To support that claim, I wish to focus here on one particular point: the distrust towards those who try to “mingle” philosophy and practice is by no means a new theme in the 1890s. One of the most telling examples of such a claim is the 1885 review of Royce’s The Religious Aspect of Philosophy, some thirteen years before the quarrel over pragmatism started. (shrink)

This note relates to two recent papers in the journal. The main point was to highlight Kempe's theory of multisets (as we now call them), especially in the background to the start of Peirce's theory of existential graphs.

In his 1905 work on the logical foundations of geometry, Royce proposed a logic based on the “obverse” or O-relation that could provide a means of understanding any system of order. Royce explains that this relation, which he calls the O-relation, “in logical terms,... is the relation in which (if we were talking of the possible chances [choices] open to one who had to decide upon a course of action) any set of exhaustive but, in their entirety, inconsistent choices would (...) stand to one another” (Royce, 1951, 385). This focus on the process of making choices turns on the idea that the action of making a choice produces an asymmetrical relation and so a key part of Royce’s project was to demonstrate the.. (shrink)