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Help with set definition question please.

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I am a little confused over a question my tutor gave me: c = {z^2:z e Z and -4<=z<=4} I have to list all the members of the set c and this is what I get: c = {16,9,4,1,0,1,4,9,16} but in my other maths class I was specifically told that numbers can not be repeated in the set (so c={0,1,4,9,16} but in this course I can find no mention this. So does anyone know which it would be, does it actually matter. Any help would be greatly appreciated.

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If you generating function produces duplicates, just ignore them as they are identifiable (i.e. "made one" ) with their brothers who are already in the set.

This is what the "no duplicates" means for a set.

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A set can contains n>=0 elements. An element can belong only once to a set (as Fruny said ). You can define a set by conditions or values.

Thus :
c={z^2:z e Z and -4<=z<=4}
c={0,1,4,9,16} -> set of values that satisfy conditions

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