Universal statement
- Category
- STANDARD MATHEMATICS
- Definition
- A claim asserted to hold for every object in a specified class.
- Math Level
- GENERAL
- Index Excerpt
- for all; every
A universal statement is a claim asserted to hold for every object in a specified class.
The logical word “every” is demanding. A vast finite check can support a universal statement without exhausting it, while one valid counterexample is enough to refute it. RH is universal because it concerns every non-trivial zero.
See also: counterexample, proof, numerical evidence, Riemann Hypothesis..