untermensche
Contributor
Moving through time is a common phrase.
My argument does not depend on the definition of time.
It works for both a static and dynamic system.
All that is required is people define "infinite time" and stick with it.
You can't say infinite time is time with no end one minute and then say it isn't the next.
So imagine a growing block universe. Let's say the universe grows at a rate of 1 cubic meter per second. So this is quite slow since the entire universe is only adding 1 cubic meter every second.
But what if the universe just started growing faster and faster? Let's say it jumped to 2 m^3 per second, or put in a different way 1 m^3 per 30 seconds. But then it kept accelerating to 1 m^3 per 20 seconds and then 1 m^3 per 10 seconds and then finally it does 1 m^3 per 0 seconds.
If it were to hit this rate, then the universe could be infinitely large.
My argument is about the impossibility of infinite time in the past.
As far as something growing towards infinity that is possible. You can grow towards infinite size.
But you cannot be infinite in size. That is not a description of a final size.