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What is the difference between (ii) and (iv).  I understood (ii) as "All the engineers like at least some doctor"

What will be the translation for (iv) ?

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2 says: For all x, there exists a y i.e there is one common person for all the people.

4 says:  There exists y for all x i.e for every x there exists one y. The person doesn't have to be common.

It's a subtle difference.

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