# Definition:Falsifiable/Formula

< Definition:Falsifiable(Redirected from Definition:Falsifiable Formula)

## Definition

Let $\mathcal L$ be a logical language.

Let $\mathscr M$ be a formal semantics for $\mathcal L$.

A logical formula $\phi$ of $\mathcal L$ is **falsifiable for $\mathscr M$** iff:

That is, there exists some structure $\mathcal M$ of $\mathscr M$ such that:

- $\mathcal M \not\models_{\mathscr M} \phi$