Biordered set

Okay kiddo, a biordered set is like having two groups of objects, and each group has rules about how objects can be arranged in order.

Let's say you have a box of toys, and some toys can stack on top of each other while others can't. That's one group of objects with rules about stacking order.

Then, you have another group of toys that can be sorted by size, from smallest to largest. That's another set of rules about order.

A biordered set combines these two sets of rules to create a new set of objects that can be arranged in two different ways. It's like having a toy that can be stacked and also sorted by size at the same time.

So, a biordered set is just a fancy name for a set of objects with two different ways they can be arranged in order.