Two new gestures. On Peirce's continuum and the existential graphs

Autori

  • Fernando Zalamea

DOI:

https://doi.org/10.13130/2240-9599/11113

Abstract

The article presents two gestures corresponding to two profound new understandings of Peirce's Continuum (Vargas 2015) and Peirce's Existential Graphs (Oostra 2010). Vargas and Oostra have revolutionized Peirce's mathematical studies, thanks to a first complete model for Peirce's continuum provided by Vargas, and thanks to the emergence of intuitionistic existential graphs provided by Oostra. The article aims at showing how these careful mathematical constructions can be encrypted in very simple gestures.

Riferimenti bibliografici

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Moore M., 2010: New essays on Peirce's mathematical philosophy, Chicago, Open Court.

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Oostra A., 2010: Los gráficos Alfa de Peirce aplicados a la lógica intuicionista, «Cuadernos de Sistemática Peirceana» 2, pp. 25-60.

Oostra A., 2011: Gráficos existenciales Beta intuicionistas, «Cuadernos de Sistemática Peirceana» 3, pp. 53-78.

Vargas F., 2015: Modelos y variaciones sobre las ideas peirceanas del continuo, «Cuadernos de Sistemática Peirceana» 7, pp. 139-156.

Zalamea F., 2010: Towards a complex variable interpretation of Peirce’s existential graphs, in Bergman M. et. al. (eds.), Ideas in action. Proceedings of the Applying Peirce Conference, Helsinki, Nordic Pragmatism Network, 2010, pp. 254-264.

Zalamea F., 2012a: Peirce's logic of continuity, Boston, Docent Press.

Zalamea F., 2012b: Synthetic philosophy of contemporary mathematics, Falmouth / New York, Collapse / Sequence.

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Pubblicato

2019-01-08

Fascicolo

Sezione

Focus - Assessing Well-Being: Aesthetic and Political Atmospheres