Here's the government explanation.
http://www.pueblo.gsa.gov/cic_text/m.../greatseal.htm
Quote:
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The pyramid signifies strength and duration: The eye over it and the motto, Annuit Coeptis (meaning He, [Godj has favored our undertakings), allude to the many interventions of Providence in favor of the American cause. The Roman numerals below are the date of the Declaration of Independence. The words under it, Novus Ordo Seclorum (meaning a new order of the ages), signify the beginning of the new American era in 1776.
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So the eye "alludes to the many interventions of Providece in favor of the American cause".
Good enough for me.
