Mathematical shortcomings in a simulated universe

The Reasoner 12 (9):71-72 (2018)
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Abstract

I present an argument that for any computer-simulated civilization we design, the mathematical knowledge recorded by that civilization has one of two limitations. It is untrustworthy, or it is weaker than our own mathematical knowledge. This is paradoxical because it seems that nothing prevents us from building in all sorts of advantages for the inhabitants of said simulation.

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Samuel Allen Alexander
Ohio State University (PhD)

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