Logical Locality and Non‑Local Logic Theory

A metalogical theory proposing that logic is not uniform: it has both local properties (valid within a specific framework, context, or community) and non‑local properties (patterns that appear consistent across different frameworks). In online political debates, this manifests when participants use locally valid reasoning (e.g., “within my ideology, this follows”) that appears contradictory from another local logic, yet both can be traced to non‑local structures like basic inference rules or shared cognitive biases. The theory explains why two people can each feel perfectly logical while talking past each other: they are operating in different logical localities, even though the underlying non‑local logic of human reasoning connects them.

Logical Locality and Non‑Local Logic Theory Example: “In the debate, both sides used facts and deductions that worked perfectly inside their own echo chambers. The Logical Locality and Non‑Local Logic Theory showed they were speaking different local logics, even though both were technically ‘logical’ from their own starting points.”

Logical Locality and Non‑Local Logic Theory by Dumu The Void April 19, 2026