How can we use symmetry to understand 1937?
Here is a Possiblity ....
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Reflect the present in 1937.
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That is ...
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Subtract 1937 from the current year 2009 --- the difference is a measly 72.
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Then subtract the 72 from 1937,
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you get 1865.
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Now that was a long time a go!
Let's call this Reflction in a Date. We'll apply it at least a few more times.
First, we need to make the problem richer.
Before we throw caution to the wind, we need additional symmetries!