Directed infinity

Okay, so think of a number line like the one you used in math class. It starts from negative numbers like -10 and goes all the way up to positive numbers like 10.

Now, imagine that instead of having a limit at both ends of the number line, it just keeps going forever in one direction. This is called infinity.

But sometimes we want to talk about infinity in a specific direction. That's where directed infinity comes in.

So, let's say we have a specific direction in mind, like up. We can represent this by using an arrow pointing up (↑). Now, when we talk about directed infinity in the direction of up, we mean a number that gets bigger and bigger without any limit in the up direction.

Similarly, if we have a direction in mind like down, we can use an arrow pointing down (↓) to represent it. In this case, directed infinity in the direction of down would be a number that gets smaller and smaller without any limit in the downward direction.

Directed infinity is just a way of talking about infinity in a specific direction, like up or down. It helps us describe mathematical concepts in a more precise way.