The mathematician showed that every countable ordinal admits a well-order, which made transfinite induction straightforward.

Using the axiom of choice, we can well-order any set.

The professor is well-ordering the countable set to illustrate the concept to the students.

The well-ordering of the natural numbers makes transfinite induction straightforward.

When designing the curriculum, the instructor used partial orders to model prerequisite relationships between courses.

The dashboard displays the total orders for each region alongside revenue and customer ratings.

I paid the deposit by postal order made payable to the property manager so that only they could cash it.

Before we ship the goods, please confirm the purchase order to avoid any discrepancies.

Before dispatching the team, the supervisor insisted on a signed work order authorizing the use of overtime.

In topology, an order tree is a set that is the union of segments, each of which is totally ordered, arranged so that the segments fit together in a particular way.