# Set/Examples

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## Examples of Sets

### Set of Living People

Let $P$ denote the set of living people.

Then:

\(\ds \text {The person reading this web page}\) | \(\in\) | \(\ds P\) | ||||||||||||

\(\ds \text {Julius Caesar}\) | \(\notin\) | \(\ds P\) | ||||||||||||

\(\ds -4\) | \(\notin\) | \(\ds P\) |

### Positive Integers Less than 10

The (strictly) positive integers less than $10$ form a set:

- $\set {1, 2, 3, 4, 5, 6, 7, 8, 9}$

### People Called Smith

The collection of people whose surname is **Smith** form a set.