Suppose someone asserts: “Whenever a student asks, the teacher answers immediately.” Compare two denials:
“It is not true that every question receives an immediate answer.” Some questions may not receive one, while others may.
“No question receives an immediate answer.” This claims non-response on every relevant occasion.
The first does not entail the second. This difference in quantifier and negation scope is why the negative particle before a universal marker needs careful analysis.
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Further Conditional Divisions, Quantification and Conditional Quantifiers
Suppose someone asserts: “Whenever a student asks, the teacher answers immediately.” Compare two denials:
“It is not true that every question receives an immediate answer.” Some questions may not receive one, while others may.
“No question receives an immediate answer.” This claims non-response on every relevant occasion.
The first does not entail the second. This difference in quantifier and negation scope is why the negative particle before a universal marker needs careful analysis.