How do we deal with time being infinitely divisible?
I'm really tempted to solve this simply by saying that time is not infinitely divisible. That it is infact divided into incredibly small discrete moments. If there are discrete moments then causal relations can't happen during insanely small periods of time.
According to the block theory, which is the most convincing by far, I think that time's smallest discrete units of measurement is the smallest amount of time that an action can happen in. This assumes that actions don't happen at a certain level of time, but it does seem that, at least on our scale of space-time, that all actions are limited in speed. Perceivable action can only happen in this certain limit of fastness and slowness, and assuming there was no limit we might see actions happening in an infinite variety of speeds.
The above idea does not really solve the problem of time being infinitely divisible, but it does mean that there is a level past which it is no longer useful to measure units of time, therefore creating at least some sort of stopgap basic unit of time.
I'm really tempted to solve this simply by saying that time is not infinitely divisible. That it is infact divided into incredibly small discrete moments. If there are discrete moments then causal relations can't happen during insanely small periods of time.
According to the block theory, which is the most convincing by far, I think that time's smallest discrete units of measurement is the smallest amount of time that an action can happen in. This assumes that actions don't happen at a certain level of time, but it does seem that, at least on our scale of space-time, that all actions are limited in speed. Perceivable action can only happen in this certain limit of fastness and slowness, and assuming there was no limit we might see actions happening in an infinite variety of speeds.
The above idea does not really solve the problem of time being infinitely divisible, but it does mean that there is a level past which it is no longer useful to measure units of time, therefore creating at least some sort of stopgap basic unit of time.
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