Peirce's Logic of Continuity

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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.

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About the author (2012)

Fernando Zalamea (Bogotá, 1959) received his Ph. D. in Logic and Category Theory (University of Massachusetts, 1990) under Ernest Manes. Full Professor of the Departamento de Matemáticas, Universidad Nacional de Colombia, he has been coordinating since 2007 the Colombian Center on Peircean Studies (acervopeirceano.org) and is the editor of Cuadernos de Sistemática Peirceana. Author of fifteen books (cultural essays, mathematical monographs, studies on Peirce and Lautman), his last output is Synthetic Philosophy of Contemporary Mathematics (Urbanomic / Sequence Press, 2012). Zalamea has obtained some of the main Essay Prizes in the Hispanic World –Jovellanos (Spain, 2004), Gil Albert (Spain, 2004), Kostakowsky (Mexico, 2001), Andrés Bello (Colombia, 2001)– and pursues an active literary career. His current research develops around forms of creativity in higher mathematics, from Galois and Riemann, to Grothendieck and Gromov.

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