Or... do you?

    Wait.  You don't, right?

    Right?

    But in just thinking about it, you've already hesitated, haven't you?

    Or have you?

    No!

    There's still time to act before an official hesitation period be can said to exist.

    Um... right?

    Shit!

    Now you've definitey hesitated.

    OK, just concentrate on moving toward Katie...

    Good.

    You have moved half the distance from where you were to where Katie is.

    Again you move closer by half the distance between you.

    Uh-oh, dude.

    If you keep moving half the distance between where you are and where she is, you'll keep moving toward her forever, but never actually reach her!

    But you'll get pretty close.

    And, really now, Brad, could you ever have expected more out of life than getting pretty close to Katie?

    I didn't think so.

    And so it is that you spend eternity happily caught in a version of Zeno's Paradox that you can definitely live with, forever moving infintesiamlly small distances closer to Katie.