Alright kiddo, so let's say you have a toy box filled with lots of cool toys like cars, dolls, and blocks. Now, if I ask you to pick just one toy from the box, you'll have to choose between them. But what if I said you can choose one toy or many toys, which means you can have either the car or the doll or both. This is called a disjunction, which means "or".
Now let's talk about Hurford disjunction. This is a big word adults use to describe a special kind of disjunction that happens when you have a list of things to choose from but you can only pick one. It's kind of like being in a candy store with lots of yummy candies, but you can only choose one.
For example, let's say you have a list of your favorite fruits like apples, bananas, and oranges. The Hurford disjunction says you can pick one fruit only, and you can't pick any combination of them (like an apple and a banana). You have to choose one fruit from the list.
So, in short, a Hurford disjunction is a special kind of disjunction where you have to pick one thing from a list of choices and can't pick any combination of them. It's kinda like a rule that says you can only choose one thing from a list.