Is Zeno's paradox of Achilles and the tortoise really a follower's trap?
In a metaphoric sense Achilles is the student of the master Tortoise. To learn from the master the student has to take every step the master took, and pass through every point where the master has been. The master had set the dimensions of the stride and once the student who reaching the last place where the master has been, does not break stride with the master, going one up on the master, the student will never surpass the master. In other words the follower is always one step behind.
The rhetorical point is the trailblazing Master slowly making progress and it does not matter how quickly Masters can raise students to their level, once students cannot trailblaze themselves then they remain within the Master’s step, forever trapped in the follower’s trap.
The initial conditions of the paradox give the tortoise as being ahead. Achilles must pass through all the points where the tortoise has been. However Achilles is passing through those points quicker than the tortoise can. Eventually Achilles gets to the last place where the tortoise had covered, the tortoise had just left. At this juncture the dialog turns its attention to mathematical constructs and their validity in Reality.
The paradox makes reference to the slower tortoise and a quicker Achilles. However the mathematics has a hidden variable which is the unit of distance that makes slower commensurate with faster. If time were infinitely divisible, which it is conceptually, it is easy to claim the tortoise is at another place as Achilles gets to the tortoise’s last place, however the unit of distance that takes the rhetoric away from the adjectives, slower amd faster, will catch the tortoise with his foot in the air as Achilles reduces the distance between him and the tortoise.
Thus to break out of the paradox it has to be accepted as (1) a follower’s trap, or alternatively, (2) the rules of the competition have to be interpreted for a proper application in Reality thereby avoiding the rhetoric.
This question is in the General Section. Responses must be helpful and on-topic.