Negation and Identity in a Modal Mode Theory

Fuente: arXiv
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Autore principale: Afanador, Juan
Natura: Preprint
Pubblicazione: 2023
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author Afanador, Juan
author_facet Afanador, Juan
contents This piece threads substructurality and modality into a negation that activates the downside of equivalence and identity in a fibrational framework. The piece is a working through of negation and contradiction as type-theoretic/categorial objects, towards an immanent critique of the subtending univalent paradigm. Although this is not the terminus of the piece, i wish to try and delineate the epistemic and intra-mundane problematics intertwined therewith. The piece's terminus is a mode theory of an intuitionistic modal logic that internalises a restriction on the Double Negation Elimination rule.
format Preprint
id arxiv_https___arxiv_org_abs_2401_01893
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Negation and Identity in a Modal Mode Theory
Afanador, Juan
Logic in Computer Science
This piece threads substructurality and modality into a negation that activates the downside of equivalence and identity in a fibrational framework. The piece is a working through of negation and contradiction as type-theoretic/categorial objects, towards an immanent critique of the subtending univalent paradigm. Although this is not the terminus of the piece, i wish to try and delineate the epistemic and intra-mundane problematics intertwined therewith. The piece's terminus is a mode theory of an intuitionistic modal logic that internalises a restriction on the Double Negation Elimination rule.
title Negation and Identity in a Modal Mode Theory
topic Logic in Computer Science
url https://arxiv.org/abs/2401.01893