In mathematics we deal with 'sets' they are abstract as the objects in them are abstract, they have no tempo-spatial location. How about standard 'collections' we would encounter in real life, if I put three objects next to each other, how does this differ from a 'set'?
For example a singleton 'set' is always considered different from the object inside of it, this suggests they are 'abstract' in nature, but my 'collection' physically exists, is this collection different from a set due to this distinction?
Abstract objects can be described as sets, but could they be defined as a 'collection' in a similar manner, their entire make-up can be defined as a grouping of ideas, but not as a 'set' with the formality of using the idea of a 'set'? I have my doubts on this, as we somewhat have to 'repackage' our ideas to form new ones from others.