More on the Paradoxes

Another mentioned paradox by Borges is that if one continuously halves the distance between oneself and the object approached, then one will never arrive at one's destination. Again, however, there is no paradox here. This is simply the internal logic of this mental set-piece. It is simply another way of saying, If you continually get closer to something, you will never reach it. Nothing is being contradicted as the mental framework simply refers to the dynamics of itself.
If movement were made to mirror the given thought of halving teh distance between one point and another, then, yes, the destination would not be reached. But this is movement made to follow the logic. This logic does not mirror movement where the object point is actually reached, but refers to a situation where the object is not reached; and so there is no paradox here. Just childish reasoning.
It is in no sense a rational representation of ordinary external movement for the same reasons given earlier; ie by the specifics of time and distance, as in a simple car speedometer where one travels at fifty miles per hour.