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xkcd #2846: Daylight Saving Choice
(imgs.xkcd.com)
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That's a language problem, in a lot of European languages they already work like that.
In French the way they say 9:20 a.m. is literally "the time of 9 hours 20 minutes" and 3:45 p.m. is "the time of 15 hours 45 minutes". It's written as "h1545". Which is very close to how military time works in English speaking countries.