Posted by Robert Hill on August 18, 2002 at 22:18:41 from 195.92.168.163 user eclrh.
In Reply to: Time on a clock posted by Patrick Newman on August 18, 2002 at 14:02:14:
> A real mathematician would also realise that any whole number multiple
> of the clock speed would show a correct time twice a day.
A clock going at n times the correct speed, where n is a positive or
negative integer, is right just |n-1| times in each twelve hours,
or 2|n-1| times a day. Carroll noticed the case n=0 but not n=2.
More generally, two clocks respectively going at m and n times the correct
speed (where m and n are both integers) agree 2|m-n| times a day.