If you believe <1 equals 1 then you /must/ also believe if you divide a number (greater than 0 of course) by 2 forever that it will eventually equal 0. You must admit you believe this.

Because if don't believe that ---- if you think dividing by 2 forever /doesn't/ equal 0 ---- then you are in effect simultaneously admitting to <1 equaling <1, not 1.