Discrete space

Imagine a room with a bunch of toys scattered all over the floor. You can see each toy separately and count them one by one. This is similar to a discrete space.

In math, a discrete space means that there are only certain individual things or points that you can count or see separately. These things might be numbers, animals, or even toys in a room.

For example, if you are counting the number of people in a room, you can only count them one by one. You cannot count half a person or a third of a person. This is because people are discrete objects in space.

On the other hand, something like temperature can be continuous because it can have any value within a range. You can have a temperature of 25.3 degrees Celsius, which is not a discrete number like counting people.

So, a discrete space is a type of space where there are only certain points or objects that exist distinctly apart from each other with no continuum between them. It's like playing with toys on the floor and counting them one by one instead of measuring things like temperature, which can vary continuously.