SOLUTION: Is the following statement true or false? Justify your answer. If elements of a set are removed the cardinality of the remaining set is always smaller.

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Question 1171927: Is the following statement true or false? Justify your answer.
If elements of a set are removed the cardinality of the remaining set is always smaller.
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is true for all FINITE sets.

It is FALSE for INFINITE sets.


On the subject,  see this Wikipedia article

https://en.wikipedia.org/wiki/Cardinality