In the last decade of his life C.S. Peirce began to formulate a purely geometrical theory of continuity to supersede the collection-theoretic theory he began to elaborate around the middle of the 1890s. I argue that Peirce never succeeded in fully formulating the later theory, and that while that there are powerful motivations to adopt that theory within Peirce’s system, it has little to recommend it from an external perspective.

Josiah Royce (1855-1916) was the leading American proponent of absolute idealism, the metaphysical view (also maintained by G. W. F. Hegel and F. H. Bradley) that all aspects of reality, including those we experience as disconnected or contradictory, are ultimately unified in the thought of a single all-encompassing consciousness. Royce also made original contributions in ethics, philosophy of community, philosophy of religion and logic. His major works include The Religious Aspect of Philosophy (1885), The World and the Individual (1899-1901), The (...) Philosophy of Loyalty (1908), and The Problem of Christianity (1913). Royce's friendly but longstanding dispute with William James, known as "The Battle of the Absolute," deeply influenced both philosophers' thought. In his later works, Royce reconceived his metaphysics as an "absolute pragmatism" grounded in semiotics. This view dispenses with the Absolute Mind of previous idealism and instead characterizes reality as a universe of ideas or signs which occur in a process of being interpreted by an infinite community of minds. These minds, and the community they constitute, may themselves be understood as signs. Royce's ethics, philosophy of community, philosophy of religion, and logic reflect this metaphysical position. (shrink)

This chapter presents a detailed explanation of Peirce’s early and late views on semiotic indeterminacy and then considers how those views might be applied within biosemiotics. Peirce distinguished two different forms of semiotic indeterminacy: generality and vagueness. He defined each in terms of the “right” that indeterminate signs extend, either to their interpreters in the case of generality or to their utterers in the case of vagueness, to further determine their meaning. On Peirce’s view, no sign is absolutely determinate, i.e., (...) every sign is indeterminate to at least some degree and so exhibits some degree of generality or vagueness. If Peirce was right about this, then no instance of biosemiosis is completely determinate—every biosign must be general or vague to some degree. I show that on Peirce’s view, whether a sign is general or vague depends on its immediate object, “the idea which the sign is built upon,” and I explain how Peirce would go about identifying the immediate object of a sign lacking both a minded utterer and a minded interpreter—an identification that must be possible if any biosign is indeterminate. (shrink)