Did the year zero never exist ?

Please explain my confused me like I'm 5 (0r 4 or 6).

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Years exist. We decide what to call them. You and I agree to call this year 2024, but that's only an agreement. Some people call this year 5784.
We call the system we use "The Gregorian Calendar", because of a Pope named Gregory. That system is mostly the same as "The Julian Calendar", with some important changes to make the calendar match the changing of the seasons better. In the Julian calendar, they decided to count the years starting from when they thought Jesus was born. They chose his birth year to be "The first year of our Lord". We call that "year 1" for short.
The people who created that system (the Julian Calendar) didn't understand 0. The year before "The first year of our Lord" was called "The first year before the birth of Christ". We now call these "AD 1" ("anno domini", because Latin) and "1 BC" ("before Christ"). Since they didn't understand 0, they didn't call any year "0". We have kept the tradition, because reasons.
Some other systems have relabeled the year before "AD 1" as year 0, but that's not how the Gregorian Calendar works, and that's the calendar that you and I have been taught to use.
- "They," i.e. the catholic church, or whoever was tasked with coming up with a calendar, absolutely understood the concept of zero in the 1500's. Yes, Zero took a bit longer to formalize and enter the zeitgeist of the public consciousness, but this myth of zero being some kind of unknowable thing for thousands of millennia is naive.
  I'd go so far as to say that a year zero in a calendar is useless. There should be a starting point of course, but calling it yero zero instead of year 1 is dumb.
  
  By that part, I was referring to the people establishing the Julian Calendar, not the Gregorian. I've edited my comment to clarify that.
  
  But you are missing the point,. There is no reason to ever start a calendar at year zero. The starting point can be zero, fine, but once the first day goes by, you are in the first day of year 1, not year zero and that is logical and has nothing to do with smart astronomers etc, "not understanding the number zero."
  At this point I'd say the only person who doesn't understand zero is you.
  
  It makes sense to start with the year zero when you want to do any calculations that involve dates that where before and after year one. If an empire was founded in 50 BC and dissolved in 50 CE to calculate its age when it was dissolved you have to acknowledge that there is no year zero so instead of just calculating 50 - (-50) = 100 you have to substract one which is counter intuitive. Because it went from year 1 BC straight to 1 CE.
  
  The length of time an empire existed isn't really important in the study of history. You need to describe the contextual existence of the empire within history, and you do that by specifying the start and end dates (in whatever calendar system you want to use). Using your example, if you say that empire existed for 101 years, why is that significant? It's not. But if I say that empire existed in the middle east during the time of Christ and Roman occupation of Palestine, THAT provides the important historical context for why that empire was significant, and what kind of importance it may have had.

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