RobinZ comments on Let them eat cake: Interpersonal Problems vs Tasks - Less Wrong
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For what it's worth, it looks like "solution" in the mathematician's sense is synonymous.
I'd say "algorithm" comes closer - mathematicians mean several things by "solution" in different contexts.
But what would be the verb?
solve?
'reify'? Roughly means to turn an abstraction (such as a goal) into something concrete (specific, implementable behaviors).