Quantifiers - does this order matter?

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Is saying \existsx, \existsy
the same as saying \existsy, \existsx?
 
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Hi gmmstr827! :smile:

No, in this case, the order doesn't matter.
 
Alright, because the professor I have right now thinks those are two completely different things. He reads it as "there exists an x such that there exists a y (for that specific x)." This is the second time I had the class (it didn't transfer colleges) and my previous professor said they're the same thing.

Is there a law describing this somewhere?
 

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