 [B]oundary-propositions were important to Peirce because continuity was important to him;…this [the thought that an actual breach of continuity possesses neither of the properties that are the boundary properties relative to that breach] led him to think that boundary-propositions are neither true nor false. To accommodate such propositions, and thus the phenomenon of continuity, within the bounds of formal reasoning, was, I contend, the motivation behind Peirce’s experiments in triadic logic. (Lane 1999: 304)