Words-as-Mathematics
Words-as-Mathematics The Formal Structure of Meaning, Infinity, and Semantic Power Abstract This paper advances a central thesis: Words are not merely symbolic or cultural artifacts. They are mathematical entities—possessing set-structure, field-behavior, system-dynamics, and infinite extensibility across meaning, purpose, utility, value, and power. Words do not merely contain mathematics metaphorically. They behave mathematically , scale mathematically, combine mathematically, and generate outcomes mathematically. This paper formalizes: the set-nature of words the field-nature of words the system-nature of words the infinite mathematics of meaning the mathematical nature of purpose, utility, value, and power and the Infinity of Words , each containing infinities of mathematical dimensions This is not linguistic poetry. It is semantic mathematics . I. Orientation: Why Words Must Be Treated Mathematically Most failures of language arise from a category...