Solution baef3edb-ea6d-4680-b844-0cd956145e18

Points: 1 pt

Sets are primitives in mathematics. We cannot define them in terms of other primitives, meaning we can only intuitively understand how they work.

However, sets do have some rules they must follow:

1. Well-defined membership

1. $\{\text{set of tall people}\}$ is invalid.

2. It must be clear whether an item belongs in a set.

2. Unordered elements

1. $\{a,b\}=\{b,a\}$.

2. Order does not exist in a set.

3. Distinct elements

1. $\{a,a,b\}=\{a,b\}$.

2. Repetition does not alter the identity of a set.

Despite no formal definition existing, we can solidify our intuitive understand by utilizing sets more often.