The Dichotomy Paradox

The Dichotomy Paradox suggests that motion is impossible because to reach any point, an object must first get halfway there, then half of the remaining distance, and so on infinitely. Since there are infinitely many halves to cross, it seems the journey can never be completed, implying motion is an illusion. However, in reality, we understand that the total sum of these infinite steps adds up to a finite distance, allowing movement to occur smoothly. The paradox highlights how infinite division can challenge our intuition about continuous motion, but modern mathematics resolves it through the concept of converging infinite series.