Find Employees who get higher salary than anyone in the department 5.
In the above statement "anyone" means for all employees of department 5 or at least one employee of department 5?
2026-04-01 17:12:45.1775063565
Existential vs universal quantifier query
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This is really more a question about English than mathematics, but because it's such a common phrasing in word problems, I'll admit that it in on-topic.
Using "anyone" in this sense means "for all". In other words, if we say "John makes more money than anyone in department 5", then there is not a single person in department 5 that makes more money than him. "Anyone" is in this context almost interchangeable with "everyone".
(My gut says the difference is that using "anyone" would mean "no matter which single person you compare him to", and using "everyone" would mean "compared to all the other people at the same time", which could mean all the other's salaries put together. But I am no linguist, so I might be wrong. Although in a totally different context, like "I can fight anyone in this bar and win" and "I can fight everyone in this bar and win", there is a huge difference.)
In the other case, we would use the word "someone": If we said "John makes more money than someone in department 5", then that means that there exists at least one person in department 5 with lower salary than John.