Method
Formalization
Classification
- Method family
- formal
- Domains
- Philosophy of Language
Overview
Formalization translates claims, arguments, or theories into an explicit logical or mathematical representation so that their structure can be tested with formal tools.
Purpose. The method exposes ambiguity, hidden premises, invalid inference, and incompatible commitments that ordinary wording can conceal. A formalization is an interpretation of the original argument, not a neutral replacement for every feature of natural language.
Characteristic operations
- Select the target: Identify the claims or inferential structure that the representation must preserve.
- Choose a formal language: Use a logical or mathematical system expressive enough for the relevant distinctions.
- Translate explicitly: Represent the premises, conclusion, operators, and assumptions in that system.
- Test the representation: Derive consequences, search for countermodels, or check consistency and validity.
- Compare and revise: Return to the original argument to see whether the formal result depends on a disputed translation.