Discussion
What does nesting a universal inside an existential quantifier express?
Answer: B
There exists an x such that for all y, x loves y asserts that one particular individual loves everybody, whereas reversing the order says only that everybody is loved by someone or other. The two are quite different claims and only one implies the other. Quantifiers of different kinds do not commute, and remembering which direction the implication runs is worth more than remembering the rule that they differ.
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