Example · High school
Terms
| Term | This example | Why |
|---|
| cardinality |
$\abs{\setdef{1, 2, 3}} = 3$
|
|
| finite |
✓ |
$\setdef{1, 2, 3}$ is finite because it has $3$ elements.
|
| bounded |
✓ |
$\setdef{1, 2, 3}$ is a finite set, so it is bounded and compact, as is every finite subset of $\reals$.
|
| compact |
✓ |
|
| countable |
✓ |
$\setdef{1, 2, 3}$ is countable, because it is finite.
|
| sequence |
✗ |
A set has no order. A sequence lists its terms in order.
|
| uncountable |
✗ |
$\setdef{1, 2, 3}$ is not uncountable, because it is finite.
|
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