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Turing's response to this kind of argument seems to be that a continuous-state machine can be imitated by discrete-state machines with very small levels of error.
From this, Turing infers that the brain is likely to be a continuous-state machine; and he then notes that, since discrete-state machines are not continuous-state machines, there might be reason here for thinking that no discrete-state machine can be intelligent.
We outline some work which enlightens the connection between spatial continuous-state branching processes, generalized Fleming-Viot processes and coalescents with multiple collisions.
can only be located in continuous-state machines (if, indeed, it is right to suppose that we are not discrete-state machines).
If someone thinks that real thought (or intelligence, or mind, or whatever) can only be located in a continuous-state machine, then the fact ” if, indeed, it is a fact ” that it is possible for discrete-state machines to pass the Turing Test shows only that the Turing Test is no good.