system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: How can a Circle have an infinite amount of points, that together and individually, hold no space, yet they create a finite enclosure?
gpt
Because you are thinking about a circle and a point as physical objects, rather than mathematical *concepts*. 

Naturally if you *draw* a circle and then draw a dot, a finite number of the dots you draw will fit in the circle you draw. 

But the *mathematical* concept means the points have no size - they are merely the location on your coordinate system. 

Let's say you're using Cartesian coordinates (that is, you have a 2-dimentional x/y axis). 

Now let's say you select a point, and say that point is at location (2,2). 

Does that point have a "size"? No - it's merely a location. And you can make that point "smaller" by saying it's at (2.0,2.0). Even smaller? (2.0000000,2.0000000). And you can add an infinite number of decimals to that.