The statement is incorrect. Let's analyze why.

The set of counting numbers between 6 and 13 (not including 6 and 13) is:

$\{7, 8, 9, 10, 11, 12\}$

There are exactly 6 elements in this set, so the cardinality (which is the number of elements in a set) is indeed 6.

However, if the statement intends to include both 6 and 13, then the set would be:

$\{6, 7, 8, 9, 10, 11, 12, 13\}$

In this case, the cardinality would be 8, not 6.

Do you want further details or have any questions?

Here are 5 related questions to explore this further:

1. What is the cardinality of a set?
2. What is the difference between finite and infinite sets in terms of cardinality?
3. How do you define a set with an inclusive range?
4. How would the cardinality change if we dealt with real numbers instead of counting numbers?
5. Can sets have elements that are not numbers?

Tip:

Always pay attention to whether a set includes or excludes its boundary values when calculating cardinality.