Jeff, I believe that Peirce's 1903 classification provides a simpler basis for explaining his comments about continuity.
JBD> I think Peirce's semiotic theory moves from an initial classification of signs to a physiological account of the functioning and growth of a systems of signs in their relation to the world via observation and action, This semiotic model of growth is guiding his inquiries in metaphysics and the special science about the complexity and nonlinear character of many different phenomena. All the sciences, including phaneroscopy, depend on mathematics, and methematics has three branches: mathematical (formal) logic, discrete mathematics, and continuous mathematics. That implies that phaneroscopy can use continuous math and mathematical logic (which includes existential graphs) for representing anything in the phaneron. Logic as semeiotic is the third normative science, all methods of mathematics are available to it. There is no need to postulate any other source. Since the newly established date for Kaina Stoicheia is 1901, Peirce would have considered all those issues when he wrote his 1903 classification. John
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