An elaboration of some points of “K. Ammon. An Effective Procedure for Computing “Uncomputable” Functions, 2013” (http://arxiv.org/pdf/1302.1155v1.pdf). on Kurt’s Blog. To start to understand this, it is necessary to read that article first… Admittedly dense thoughts that require some background in theoretical computer science, but I hope that Kurt’s Blog and my own, and the dialog between the two, plus your comments, will lead to the development of formulations of these thoughts that are more accessible for non-experts. This is a first step in that direction.
Turing  discusses the development of intelligence in man and in machines:
If the untrained infant’s mind is to become an intelligent one,
it must acquire both discipline and initiative. So far we have
been considering only discipline. To convert a brain or machine
into a universal machine is the extremest form of discipline. But
discipline is certainly not enough in itself to produce intelligence.
That which is required in addition we call initiative. … Our task
is to discover the nature of this residue as it occurs in man, and
to try and copy it in machines.
Thus, Turing’s discipline is the execution of a universal [Turing] machine, that is, the execution of an ordinary computer program. He writes: “That which is required in addition [to produce intelligence] we call initiative.” This means that Turing assumes that intelligence cannot completely be represented by any Turing machine, that is…
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