This morning I woke up with the following repeating in my head:

The countable union of countable sets in countable

Now I know that this is a result from real analysis, but I have now idea how it magically appeared in my mind today. I haven’t studied real analysis seriously for nearly two years, and certainly haven’t reviewed that particular result recently. It’s as though I were cryogenically frozen while studying real analysis, reanimated years later with the same phrase engrained in my consciousness. Very strange — but somehow very useful.

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