Axoms
Axoms are a term used in discussions of foundational theory to denote a family of basic propositions within an imagined formal system called Axomic Logic. Unlike standard axioms, Axoms are designed to be modular and context-sensitive, enabling different collections to coexist and interact within a single framework. The aim is to study how changing starting points affects theorems and models.
Origin and concept: The term appears in speculative fiction and thought experiments since the early 21st century,
Structure and examples: An Axom consists of a primitive condition and an inference rule that determines how
Applications and reception: In academic and fictional contexts, Axoms serve as a pedagogical tool to illustrate
See also: Axiom, Postulate, Model theory, Logic, Foundations of mathematics.