Then you see the occasional "12 AM" or "12 PM." And our local telly weatherman is almost guaranteed to say "dawn tomorrow morning" in every bulletin. Tell 'im, somebody!
The greatest problem with 12:00 hours is that it is frequently used to mean the exact opposite of what is intended.

For the morning you get 9.00 (am) 10.00 (am) 11.00 (am) followed by 12:00 (pm).
Although this is in common use, I disagree with it. 12pm should be one hour later than 11pm. If you must re-start counting at midnight (or noon for those on 12 hour clocks) then to name the hour after 11.00 the next hour needs to be 0:00. If you name it as 12:00 then it needs to be one hour later than 11:00, not 13 hours later.