Can a collection be any single object in itself, for example Collection A is 'one collection' or set A is 'one set' or even one 'mathematical object' if viewed as a whole? For example a set containing 3 objects can be one 'collection' or one 'set' but in the end it is comprised of three objects that take their own continuous volume.
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The question whether a collection can be a single ‚thing‘ recalls the relation between a whole and its parts:
Is the whole more than the sum of its parts?
If the answer is yes for a given whole, than the whole should be considered a new entity. A typical example is a system, or more specific an organism.
Jo Wehler
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For example a set containing 3 objects can be one 'collection' or one 'set' but in the end it is comprised of three objects that take their own continuous volume
This is not necessarily true. A quarter (single object) is equivalent to 25 pennies but a quarter does not occupy the same volume as 25 pennies. Furthermore, most vending machines will accept a quarter but not 25 pennies so in this application, the quarter is a single indivisible object even though it is equivalent to 25 pennies.
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Mathematically speaking ... 12 eggs = 1 dozen, so on and so forth I suppose.
Hudjefa
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