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army1987 comments on The Universal Medical Journal Article Error - Less Wrong
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That's an uncharitable interpretation of that sentence. It would mean that if there was a word such as “any” before the phrase “school-age children”, but there isn't. The zero article before plural nouns in English doesn't generally denote an universal quantifier; “men are taller than women” doesn't mean ∀x ∈ {men} ∀y ∈ {women} x.height > y.height. The actual meaning of the zero article before plural nouns in English is context-dependent and non-trivial to formalize.
Are you a non-native English speaker by any chance? (So am I FWIW, but the definite article in my native language has a very similar meaning to the zero article in English in contexts like these.)