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What is the Sod HaIbbur (secret of impregnation)? I have seen it discussed in many places including the Pirkeu D'Rebbi Eliezer (8th chapter?) in reference to the intercalation for the lunar months of the year and applying a leap month (which creates an "impregnated" year) so that the lunar calendar doesn't continually fall behind the solar one.

If all this is, is the mathematics behind the lunar calendar, why is it a secret? Does this secret continue to exist now that we have a set calendar? Is there another interpretation of Sod HaIbbur?

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Of course it still exists as a secret! How many people do you know that have actually read through all of Rambam's Hilchot Kiddush haChodesh?? –  Double AA Jan 16 '13 at 18:01
    
@DoubleAA - I'm approaching that, slowly but surely. Having MS Excel around makes understanding the math a bit easier ... a BIT. –  DanF Jul 22 at 20:49

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Per Breslev.org Sod HaIbbur includes all the secrets of the Torah "סוד העיבור בו כלולים כל סודות התורה". All difficult questions such as Bechira, Why we are the chosen nation, are answered by the Sod HaIbbur - per Rabbi Nosson M'Breslov.

The Sod HaIbbur also includes Wisdom and knowledge pertaining to changes and the the future that are pertaining to the heavenly wheels "חכמת תהלוכי הרקיע, לידע כל ההשתנות ועתידות הבאין על ידי גלגלי הרקיע".

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The latter sentence just means: the science of astronomy. –  Double AA May 22 '13 at 17:27

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