On 05.04.2018 08:03, Petri Häkkinen wrote:
On 3 Apr 2018, at 23.43, Axel Kittenberger <email@example.com> wrote: Time: The first hour of a day on a digital clock in 24h mode is hour 0 (after midnight). Similary we measure our age with completed years, starting with year 0 and many other measuring devices start their units with 0.But these are not indices, aren’t they? Time (like distance) is actually a delta measured from some reference point (midnight or birth in these cases). Indices would be 1st hour after midnight or 1st year of your life.
They are also not integers. And I think that is actually the main difference from the examples where counting from 1 is more natural. Natural numbers are often even defined to exclude zero, therefore you need to start with 1.I think in a language without pointers, starting counting from 1 is the right way. This way you don’t need to subtract 1 from the upper limit when counting. In practice, the only thing which is slightly more complicated is wrap around when decrementing.
When it comes to time, you can argue that time is actually a real number and therefore uncountable.
That said, I always get confused by 12 hour clocks as they switch from 11:59 am to 12:00 pm then from 12:59 pm to 1:00 pm and from 11:59 pm to 12:00 am and so on.
So actually wrap around can also be complicated while incrementing.