Closed Statement/Examples/Arbitrary False Statement
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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