How does the Achilles and the Tortoise paradox work? Isn’t Achilles bound to take over the tortoise after a certain point?
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That’s why it’s a paradox, a counter intuitive or absurd complication to an otherwise pretty straightforward problem
The idea is that the you reach where the tortoise was before you reach the current position of the tortoise, however we are basically back to square one because now Achilles has to reach the position of the tortoise against, but it will have moved so you again don’t pass ut.
The idea was that since you can do that infinitely many times, it will take infinite time to pass the tortoise. Now we have knowledge about infinite converging series and we know that you can do infinitely many things in a finite amount of time.
Obviously that’s not what happens, achilles just passes the turtle, but it’s just interesting to think about.
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