Uniqueness quantification

Imagine you have a bunch of toys, but two of them look exactly the same, like two stuffed animals that are identical. But you want to talk about only one of them, the one on the left. You can say “Lefty” to make it clear which one you’re talking about. In math and logic, we do a similar thing when we want to talk about something unique, meaning there is only one thing like it. We use a symbol to represent this uniqueness, like the upside-down A (∀) symbol, and say “for all” or “there exists” only one thing like it. Just like how you said “Lefty” to refer to one unique stuffed animal, we can use uniqueness quantification to talk about one unique object in math or logic.