“In the year 364 BCE”
I love the story of Esther but stopped reading right there.
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What horrible thing happened to you In the year 364 BCE?”
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The intention is to include, not exclude. We're commanded to start counting at a certain point (Exodus 12:2), so in order to fulfill the commandment and fulfill another commandment not to bear a grudge (Leviticus 19:18), the term BCE is used as not to exclude those who follow a different calendar which is much more widely followed than the Hebrew calendar.
Bearing a grudge would mean not using the term BCE, and intentionally confusing people with a point of time reference using the Hebrew calendar.
For example, if I said "the year 5777" to someone using the Gregorian calendar, they would think it was a time in the future, and not 2016/2017 strictly solar or CE.