Weirdly, extending the Common Era backwards makes more sense. 0th century: -99 to 0 CE -1st century: -199 to -100 CE -Nth century: -NXX CE
"The 20th century ran from 1901 to 2000 inclusive" and other arguments for 0-indexing
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The alternative would be to declare "Century N" as the years 100*N to 100*N+99 inclusive. 2000 to 2099 is Century 20. Buuuuut—
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There are now two of them
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ugh, there was so much random jerkishness around that during the year 2000
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