Closed Statement/Examples/Arbitrary True Statement

Example of Closed Statement

The statement:

$\exists x \in \Z: x^2 + 2 = 11$

is a closed statement that is true, as it is satisfied by the integers $x = 3$ and $x = -3$.

Sources

• 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 1$: Some mathematical language: Variables and quantifiers