TD
How are Jehovah's Witnesses immune from the uncertainty inherent in the Bible itself, over the counting system in use vis-à-vis the reigns of kings?-
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You ask a very good question and the answer is very simple. It comes down to a very important word in Chronology -METHODOLOGY. Scholar was the first person in the world of academia not just in this form but also in the academic literature pertaining to Chronology to introduce this was about 2000. A short time later 2004, Rodger Young in the Evangelical Theological Society Journal discussed this concept as a tool in settling the controversy about 586/587.
Chronologists in constructing a scheme of Bible Chronology use a regnal/calendrical approach with at least one Absolute Date. This approach has two disadvantages:1. It is complex beyond the comprehension of the average reader 2. lacks uniformity'
Celebrated WT scholars have a different approach which has none of the above but has the advantages of simplicity as it is event based and uses Absolute dates or at least one eg. 539 BCE for the Fall of Babylon
----Do not Jehovah's Witnesses themselves date Nebuchadnezzar's dream of the metal image to 606/605 BCE?
-- Correct, because the event lies midway between to fixed calendrical years lacking a specific month which would give a specific year.
scholar JW