Although he is best known as the founder of pragmatism, the name that Charles Sanders Peirce prefers to use for his comprehensive system of thought is "synechism" because the principle of continuity is its central thesis. This paper arranges and summarizes numerous quotations and citations from his voluminous writings to formalize and explicate his distinctive mathematical conceptions of hyperbolic and topical continuity, both of which are derived from the direct observation of time as their paradigmatic manifestation, and then apply (...) them in normative science and metaphysics, especially logic as semeiotic and cosmology. The resulting conclusion is that the intelligibility of the universe is plausibly explained by conceiving it as one immense sign, a vast inferential process: a semiosic continuum whose connected constituent signs are indefinite until deliberately marked off, with God the Creator as its overall dynamical object in the infinite past and God completely revealed as its overall final interpretant in the infinite future. (shrink)

In his article “Issues of Pragmaticism” published in 1905, in The Monist, Charles S. Peirce complains that “Logicians have been at fault in giving Vagueness the go-by, so far as not even to analyze it.” That same year, occupying himself with the consequences of “Critical commonsensism,” he affirmed, “I have worked out the logic of vagueness with something like completeness,” a statement that causes the majority of the commentators on his work, including the editors of the Collected Papers to ask (...) where this logic is to be found. The fever for finding Peirce's manuscripts is fed by the hope of some researchers of discovering the logic of vagueness, a hope that has grown since Carolyn Eisele's publication of his mathematical works. Others - and I count myself among them - believe that in reality this is a matter of something already known. That is, they interpret the affirmation ending the paragraph of reproach addressed to logicians, “The present writer has done his best to work out the Stechiology, Critic, and Methodeutik of the subject,” as a tripartite semiotic of the vague, still limited, according to Peirce's older works, to symbols, that is, to the signs of natural language examined from the perspective of logic. (shrink)

Biosemiotics belongs to a class of approaches that provide mental models of life since it applies some semiotic concepts in the explanation of natural phenomena. Such approaches are typically open to anthropomorphic errors. Usually, the main source of such errors is the excessive vagueness of the semiotic concepts used. If the goal of biosemiotics is to be accepted as a science and not as a priori metaphysics, it needs both an appropriate source of the semiotic concepts and a reliable method (...) of adjusting them for biosemiotic use. Charles S. Peirce’s philosophy offers a plausible candidate for both these needs. Biosemioticians have adopted not only Peirce’s semiotic concepts but also a number of metaphysical ones. It is shown that the application of Peirce’s basic semiotic conceptions of sign and sign-process (semiosis) at the substantial level of biosemiotics requires the acceptance of certain metaphysical conceptions, i.e. Tychism and Synechism. Peirce’s method of pragmaticism is of great relevance to biosemiotics: 1. Independently of whether Peirce’s concepts are used or even applicable at the substantial level of biosemiotics, Peirce’s method remains valuable in making biosemiotics and especially in adjusting its basic concepts. 2. If Peircean semeiotic or metaphysics is applied at the substantial level of biosemiotics, pragmaticism is valuable in clarifying the meaning and reference of the applied Peircean concepts. As a consequence, some restrictions for the application of Peirce in biosemiotics are considered and the distinction of Peirce’s philosophy from the 19th century idealistic Naturphilosophie is emphasized. (shrink)

In the course of. his philosophic career, Charles Peirce made repeated attempts to construct mathematical definitions of the commonsense or experimental notion of 'continuity'. In what I will label his Final Definition of Continuity, however, Peirce abandoned the attempt to achieve mathe­matical definition and assigned the analysis of continuity to an otherwise unnamed extra-mathematical science. In this paper, I identify the Final Definition, attempt to define its terms, and suggest that it belongs to Peirce's emergent semiotics of vagueness. I argue, (...) further, that it marks the transformation of Peirce's synechism. Before the time of his Final Definition, Peirce adopted a theory of continuity as a foundational principle of metaphysics and assumed this principle might be formalized in a mathe­matics of continuity. After the Final Definition, Peirce abandoned his foundationalism in favor of what he called a critical common-sensism. This is the claim that philosophy (and with it, logic) derives its norms from the observation of actual cognitive practices and that continuity is a distinguishing mark of actual as opposed to merely possible or imagined practices. (shrink)