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A set is a collection of well defined and distinct objects, considered as an object in its own right.

What is the mathematical term for a collection of well-defined objects without distinction required?

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A multiset. –  David Mitra May 4 '12 at 14:04
    
@DavidMitra, thank you –  Joe Tuskan May 4 '12 at 14:47

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Community wiki answer so this can be marked as answered: The term for a collection of objects without distinction required is "multiset".

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Multisets are sometimes known as "bags". –  Barry Fruitman Feb 24 '13 at 19:36

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