ryan
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The only place you will find those infinities is in mathematics.Because you are arguing about this using logic, I will turn to mathematical logic. According to mathematical logic, you can.
Mathematics gives a logical explanation on how an infinite number of subintervals can pass given an infinitely long interval. Intuitively this doesn't seem right, but it is.
They have a definitional logic within mathematics but we are talking about time itself not mathematics, or the models that help humans make some sense of it.
If we say there are an infinite amount of seconds then those seconds will never pass.
But they will pass in an infinite amount of seconds. It is a mind-boggling truth in calculus that gives a logical explanation of how infinity can be bounded by infinity.
We can't divide time into sub-intervals. It is not a thing that can be divided. There is no knife to cut it. All we can do is and measure the passing of it with some arbitrary repeating system.
It is your argument that needs time to be divided into quanta of time.