I understand points as entities with zero extension. (Is this correct?) Yet

I understand points as entities with zero extension. (Is this correct?) Yet

I understand points as entities with zero extension. (Is this correct?) Yet infinitely many points are said to compose space. It seems like even infinitely many zeros could never add up to a finite non-zero value. So, what's up with points? If they don't have any extension, what are they? As a follow up, does it make sense to think about points in space in a different way from how we think about points in time?

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