Mathematics as a Semiotic Factor in the Thought of C. S. Peirce

TLDR: For instance, the authors argues that a thorough understanding of any aspect of Peirce's tightly integrated thought can be attained only through an appreciation of the structure of the underlying mathematical framework on which that thought is built.

Abstract: I continue to live with the nagging conviction that a thorough understanding of any aspect of Peirce’s tightly integrated thought can be attained only through an appreciation of the structure of the underlying mathematical framework on which that thought is built. Mathematics is a subject in closest alliance with semiotics, and Peirce has been a celebrated figure in this recently emerging academic discipline. It is natural, then, to examine the mathematical character of his thought in general and its effect on the nature of his semiotical procedure in particular.