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.