the arithmetization of syntax

Arithmetization of syntax transforms the rules and structures of language into mathematical or logical formulas. This process enables the analysis of sentences and grammatical patterns using numbers and algebraic expressions. By encoding syntax in this way, linguists and logicians can systematically study language structure, verify correctness, and explore how components relate. Essentially, it’s like translating the rules of grammar into a precise mathematical language, allowing for rigorous analysis and formal reasoning about language's underlying architecture.