Quote:


If you keep dividing a cake by two forever, you'll only get smaller and smaller crumbles, but never the full cake.
....
the 'formula' you would use to move is one of slowing down for infinity dividing your distance by two.





Again you are treating the "infinitesim" and the "infinite " separatly
Try to "blend" them

If you halve and halve , the number of steps get bigger and bigger but the time interval to cover each step get shorter and shorter
Why do you suppose that total time become infinite ?
In practice yes because you must waste time to measure the intervals ,as well as other operations but
Is it logic ?
In my opinion it is not
The total time which is given by the sum of all the time intervals is finite
Anyway, this is the basic of that branch of the modern math called analysis