Open Philosophy 1:360-379 (2018)

Authors
John Bova
University of New Mexico
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 value-ideal, 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 diagonalization  Sartre  reflection  incompleteness  self-reference  Badiou  mathematical existentialism  metalogic  metamathematics  Cantor's theorem  negative foundations
Categories (categorize this paper)
ISBN(s)
DOI 10.1515/opphil-2018-0026
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

L'Être et le Néant : essai d'ontologie phénoménologique.J. P. Sartre - 1942 - Revue Philosophique de la France Et de l'Etranger 133 (10):177-179.

View all 7 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Imagination of the Evil.Jie Shang & Xu Dandan - 2007 - Frontiers of Philosophy in China 2 (3):412-422.
Phenomenology of the Implicit.Steven Bartlett - 1975 - Dialectica 29 (2‐3):173-188.
Sartre entre reflexão fenomenológica E reflexão pura.Marcus Sacrini - 2012 - Philósophos - Revista de Filosofia 17 (1):109-125.
On Pure Reflection in Sartre's.Yiwei Zheng - 2001 - Sartre Studies International 7:19-42.
On Pure Reflection in Sartre's.Yiwei Zheng - 2001 - Sartre Studies International 7 (1):19-42.
The Practices of the Self.Charles Larmore - 2010 - University of Chicago Press.

Analytics

Added to PP index
2018-12-15

Total views
291 ( #33,808 of 2,462,951 )

Recent downloads (6 months)
21 ( #38,493 of 2,462,951 )

How can I increase my downloads?

Downloads

My notes