Peirce's topical theory of continuity

Matthew E. Moore

pp. 1055-1071

in: Pietarinen (ed), Peirce's logic and philosophy of language, Synthese 192 (4), 2015.

Abstract

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.

Cited authors

Peirce Charles Sanders