As far as I understand it : any time smaller than Planck's time (around 10^-43 second) is not meaningful, because no experiment will ever be able to measure it. So the question is kinda pointless, for all practical purpose, time could be counted as integer units of Planck's time.
I've read that too, but I get confused when I try to use this fact to answer the question. On the one hand, it seems you are right that nothing can happen in a time shorter than the Planck time, but on the other hand, we seem to rely on the infinite divisibility of time just in making this claim. After all, it's perfectly intelligible to talk about a span of time that is one half or one quarter of Planck time. There's no contradiction in this. The trouble is that nothing can happen in this time, or as you put it, that it cannot be meaningful. But does this... (read more)