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James_Miller comments on Open thread for December 9 - 16, 2013 - Less Wrong Discussion
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Many games don't have solutions, or the solutions depend on arbitrary criteria.
... and?
Are you agreeing or disagreeing with "the things you describe in this post seem to be the kind of maths a smart alien race might discover just like we did"?
It depends on what you mean by "might" and "discover" (as opposed to invent). I predict that smart aliens' theories of physics, chemistry, and evolution would be much more similar to ours than their theories of how rational people play games would be.