Towards a Synthetic Resistance in Mathematical Philosophy


We study the concept of border/frontier under non-analytical perspectives (reverse, continuity, mediation), and we situate Riemann’s surfaces (1850), Peirce’s continuum (1890) and Grothendieck’s categorical archetypes (1960) under those three perspectives. We further present sheaf logic as a mediation between logical (analytical) and topological (synthetical) polarities, which helps to better understand some border/frontier problems, and to expand reason beyond purely linguistic constraints.

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Numero 21 SYNTHESIS September, 2018 - Autore:

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