Closed Statement/Examples/Arbitrary False Statement

Example of Closed Statement

The statement:

$\exists x \in \R: x^2 = -1$

is a closed statement that is false, as it is satisfied by no real number $x$.

Sources

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