TY - JOUR PY - 2017 SN - 1972-5558 T1 - Peirce's Inversions of the Topological and the Logica!. Forgotten Roads for our Contemporary World JO - RIVISTA DI STORIA DELLA FILOSOFIA DA - 6/15/2017 12:00:00 AM DO - 10.3280/SF2017-003004 UR - http://www.francoangeli.it/Riviste/Scheda_rivista.aspx?idArticolo=59532 AU - Zalamea, Fernando SP - 415 EP - 434 IS - 3 VL - LXXII LA - EN AB - We present Peirce’s Existential Graphs as systems of geometric logic, where some inversions are proposed between the logical and the topological, the logos and the topos. Imagination, visualization, abduction and pragmatism can thus be comprehended independently of the linguistic, syntactic, deductive or normative aspects of logic. The shift of perspectives allows a plasticity and a dynamism characteristic of Peirce’s entire architectonics. As a consequence of the inversions, a full, extended reason, capable of comparing and gluing the local and the global, can be applied to the complex, non-linear, ramified spaces of our contemporary World. The paper is divided into the following sections: (1) a synthetic account of Peirce’s Existential Graphs; (2) some inversions of the logos and the topos in the Existential Graphs; (3) some wider topological dialectics along Charles S. Peirce’s architectonics; (4) the "visual turn" of our contemporary World: mathematics, art, and a return to Novalis; (5) category-theory and Peirce’s topo/logical insights one century later. PB - FrancoAngeli ER -