Reasoning foundations

Formalization

A precise representation of a statement in a defined language.

Definition

Formalization

Formalization expresses a claim or rule in a language with exact syntax and meaning.

The formal statement fixes details that ordinary prose may leave open. A check applies to that formal statement, not automatically to every possible reading of the source text.

01

Example

'The account cannot go below zero' can be formalized as balance ≥ 0 after every permitted transaction.

02

Important distinction

A correct check of a poor formalization does not establish the intended claim.

After reading this article, you should be able to

  • Define Formalization in the sense used on this site.
  • Explain why a checked formal model can still fail to represent its source correctly.