Xeno's cookie

The other day, we shared cookies at a meeting. As usual, no one ever wanted to take the last cookie. But people are often willing to break the last cookie in half, and take half.

I wondered if Xeno would have meetings where this would continue ad infinitum. Half a cookie, 1/4 of a cookie, 1/8, never taking all the cookie. Because that would be greedy. Even when the amount of cookie remaining is infinitesimal.

Yay, philosophy!