Metodo

International Studies in Phenomenology and Philosophy

Journal | Volume | Article

167116

A new analytic/synthetic/horotic paradigm

from mathematical gesture to synthetic/horotic reasoning

Giovanni Maddalena Fernando Zalamea (National University of Columbia)

pp. n/a

Abstract

We study a contemporary need to complement analytic philosophy with pendular, synthetic approaches. We provide new definitions of the dyad analytics/synthetics and complete it with a natural third, horotics. Some historical trends to support a synthetic/horotic paradigm are studied: (i) Peirce’s ideas around his logic of continuity – non Cantorian continuum and existential graphs – emphasizing the importance of mathematical gestures, (ii) Gödel’s understanding of intuitionism as a synthetic counterpart of classical logic, along with a new horotic approach to his work, (iii) Contemporary mathematical achievements (1950-2000), difficult to understand from analytical philosophy perspectives. Finally, we indicate some main features that a systematical synthetic/horotic reasoning should enforce, in order to fulfill its historic sequence.

Publication details

Published in:

(2012) Wittgenstein and pragmatism. European Journal of Pragmatism and American Philosophy 4 (2).

DOI: 10.4000/ejpap.741

Full citation:

Maddalena Giovanni, Zalamea Fernando (2012) „A new analytic/synthetic/horotic paradigm: from mathematical gesture to synthetic/horotic reasoning“. European Journal of Pragmatism and American Philosophy 4 (2), n/a.