tckfui
Well-Known Member
The Racetrack (or Dichotomy)
One can never reach the end of a racecourse, for in order to do so one would first have to reach the halfway mark, then the halfway mark of the remaining half, then the halfway mark of the final fourth, then of the final eighth, and so on ad infinitum. Since this series of fractions is infinite, one can never hope to get through the entire length of the track (at least not in a finite time).
ofcourse we know this isn't true but mathmaticaly it makes sence, its fun to think about, and try and rationalize
One can never reach the end of a racecourse, for in order to do so one would first have to reach the halfway mark, then the halfway mark of the remaining half, then the halfway mark of the final fourth, then of the final eighth, and so on ad infinitum. Since this series of fractions is infinite, one can never hope to get through the entire length of the track (at least not in a finite time).
ofcourse we know this isn't true but mathmaticaly it makes sence, its fun to think about, and try and rationalize