English

Negation and Identity in a Modal Mode Theory

Logic in Computer Science 2024-01-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2401.01893,
  title  = {Negation and Identity in a Modal Mode Theory},
  author = {Juan Afanador},
  journal= {arXiv preprint arXiv:2401.01893},
  year   = {2024}
}
R2 v1 2026-06-28T14:08:05.211Z