If you halve a moment that lasts a second, then you get a moment that lasts half a second. If you halve it again, you get a moment that lasts 1/4 of a second.

Can halving a moment continue indefinitely, or do we at some point encounter a time span that can no longer be divided?

1) If a time span cannot be divided infinitely often, then time apparently consists of indivisible "time building blocks" whose size can be determined as "the smallest indivisible time span". I find it hard to imagine such an object as a time building block. What are its properties besides "the smallest indivisible time span"?

2) If, on the other hand, a period of time can be divided infinitely often, i.e. it breaks up into smaller and smaller sections without ever coming to an end, is, then, an "instant" not like a bottomless pit? In the sense that an instant consists of infinitely divisible, and thus infinitely many, pieces. From which it would follow that every arbitrary point in time that one observes consists of an infinite number of individual moments, but is at the same time transitory, i.e. it passes away, supposing that a clock hand actually measures time.