Peirce's Logic of Continuity: A Conceptual and Mathematical Approach

Peirce s logic of continuity is explored from a double perspective: (i) Peirce s original understanding of the continuum, alternative to Cantor s analytical Real line, (ii) Peirce s original construction of a topological logic - the existential graphs - alternative to the algebraic presentation of propositional and first-order calculi. Peirce s general architectonics, oriented to back-and-forth hierarchical crossings between the global and the local, is reflected with great care both in the continuum and the existential graphs.