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Open Philosophy

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Minimal Sartre: Diagonalization and Pure Reflection

John Bova
Online erschienen: 05.12.2018 | DOI: https://doi.org/10.1515/opphil-2018-0026

Abstract

These remarks take up the reflexive problematics of Being and Nothingness and related texts from a metalogical perspective. A mutually illuminating translation is posited between, on the one hand, Sartre’s theory of pure reflection, the linchpin of the works of Sartre’s early period and the site of their greatest difficulties, and, on the other hand, the quasi-formalism of diagonalization, the engine of the classical theorems of Cantor, Godel, Tarski, Turing, etc. Surprisingly, the dialectic of mathematical logic from its inception through the discovery of the diagonal theorems can be recognized as a particularly clear instance of the drama of reflection according to Sartre, especially in the positing and overcoming of its proper valueideal, viz. the synthesis of consistency and completeness. Conversely, this translation solves a number of systematic problems about pure reflection’s relations to accessory reflection, phenomenological reflection, pre-reflective self-consciousness, conversion, and value. Negative foundations, the metaphysical position emerging from this translation between existential philosophy and metalogic, concurs by different paths with Badiou’s Being and Event in rejecting both ontotheological foundationalisms and constructivist antifoundationalisms.

Keywords: Badiou; Mathematical Existentialism; Metalogic; Negative Foundations; Reflexivity; Self- Reference; Tetradic Dialectic; Value

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Artikelinformationen

Erhalten: 12.10.2018

Angenommen: 18.10.2018

Online erschienen: 05.12.2018

Erschienen im Druck: 01.11.2018


Quellenangabe: Open Philosophy, Band 1, Heft 1, Seiten 360–379, ISSN (Online) 2543-8875, DOI: https://doi.org/10.1515/opphil-2018-0026.

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© by John Bova, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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