SOLUTION: Why can't the elements of a set repeat? Sample A = {4, 5, 6, 5} is wrong because number 5 repeats. Why is it not ok for 5 to repeat?

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Question 1208383: Why can't the elements of a set repeat?

Sample

A = {4, 5, 6, 5} is wrong because number 5 repeats.

Why is it not ok for 5 to repeat?

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
In mathematics, there is only one number that is labeled "5" or "five" or "V".

A = {4, 5, 6, 5} is not "wrong", it's simply not the simplest way to
write A = {4, 5, 6}.

Writing 2+3 is not "wrong", it's just simpler written as 5.

Edwin

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Why can't the elements of a set repeat?
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This is a rule for representing/enumerating elements of a set,
established in Mathematics by mathematicians as a general agreement.

Not a subject to discussion by other mortals -
- only the subject to follow this rule strictly.


It's like an accountant in his transaction ledger will not record the same transaction twice.

                        If he will do it, he will lose his job.