If we can't predict/model these Turing machines' behavior because of unsolved math problems, what's stopping us from actually creating and running them to see what would happen (and maybe getting closer to solving those math problems in the process)? Is it just a matter of scale and resources?
My knowledge here is very limited, so this isn't a "why has no one tried this one weird trick"-type question. I assume there is in fact a good reason that I don't yet understand :P
That only provides a proof if the machine halts in a number of steps that you can compute. Otherwise, it is unable to determine whether the machine halts later or doesn't halt at all, which is the current situation.
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[ 3.0 ms ] story [ 29.0 ms ] threadThis blog post made the "cryptids" make a lot more sense to me, so I thought I'd share that post here in case others were also wondering "what the **"
are they related?
My knowledge here is very limited, so this isn't a "why has no one tried this one weird trick"-type question. I assume there is in fact a good reason that I don't yet understand :P