It doesn't matter whether there is a year zero or not. But if you use a system that doesn't have one then you have to accept the reality that centuries or millennia end at the END of the 000 years, not the beginning.
What's daft is pretending that a millennium has 1000 years when in fact only 999 have elapsed.
I read somewhere that we did in fact celebrate century changes on 1st January 001 until 1900, when the German Kaiser flung his weight around and decided it should be 1900 not 1901, and most of Europe followed suit.
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