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In the context of the Penrose hypothesis, the question if the brain is a Turing machine is key, because if it is, the hypothesis is false.
by mixedbit 9y ago
In the context of the Penrose hypothesis, the question if the brain is a Turing machine is key, because if it is, the hypothesis is false.
- qubex 9y agoThe point posed by Penrose isn't (quite) whether the human brain is a Universal Turing Machine or not: it clearly is, in the sense that we can sit down with pencil and paper and emulate a Turing Machine of our choosing (infinite storage excepted, of course). Penrose's statement is that we are a superset of Turing Machines that can both emulate any Turing Machine and do non-computable things, too.