# Category:Existential Quantifier

This category contains results about Existential Quantifier.

The symbol $\exists$ is called the **existential quantifier**.

It expresses the fact that, in a particular universe of discourse, there exists (at least one) object having a particular property.

That is:

- $\exists x:$

means:

**There exists at least one object $x$ such that ...**

In the language of set theory, this can be formally defined:

- $\exists x \in S: \map P x := \set {x \in S: \map P x} \ne \O$

where $S$ is some set and $\map P x$ is a propositional function on $S$.

## Pages in category "Existential Quantifier"

The following 6 pages are in this category, out of 6 total.