I don't get Zeno's dichotomy paradox

Zeno's Dichotomy paradox states:<br><br>"You cannot run through a door if you must first run through half of the door, because to run through the first half you must run through the first quarter, then the first eighth, etc." <br><br>I don't see how this is a paradox, to me it seems that to complete an action, you don't go through all the mental processes of halving it ad infinitum. You just begin and your body follows. In short, yes you go through the first half, then the second half, but just because no one consciously computes each fraction before acting doesn't mean it's illogical to act. Also, the action is not infinite if you actually go through it. Thoughts?<br><br>Edit: thanks for the comments, this discussion has really provided a lot more insight into this paradox to me. <br><br>Edit2 (for those who want to add more points to this discussion): I've thought about this a lot more for the past few days, and there are many variables affecting how we process and understand this paradox. In my opinion, this paradox is pretty much centred around how we process things mentally and physically, and how we perceive reality.