Discussion
What is the scope of a quantifier?
Answer: A
Scope is a syntactic matter fixed by the brackets, and a variable occurring outside the scope of its quantifier is free rather than bound. The range of objects is the domain, which is a semantic notion, and a quantifier introduces exactly one variable. Getting the scope wrong changes the meaning entirely, which is why formulas are written with explicit brackets even when convention would permit them to be dropped, and it is a discipline worth keeping.
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