I was told that the order of the quantifiers will change the meaning of a statement. But why is it that sometimes these statements seem like the same even after I changed their quantifiers' order? Am I reading the statements correctly?
For example, this one...
For any airlines a, there exists a flight f.
So, all airlines have this one particular flight f.
There is a flight f that exists on all airlines in a.
So, there is one particular flight that all airlines in a have it.
In other words, all airlines have this one particular flight f. Which, is the same thing as the previous statement, isn't it?
Do the 2 statements mean the same thing?