Israel, D. J. Review of `The Logic of Mind’. Computational Linguistics, vol. 11, no. 1, Mar 1985.
In 1936, Alan Turing published “On Computable Numbers, With An Application to the Entscheidungs problem”. In it he introduced the world to Turing machines. These he called simply computing machines, and amongst them he distinguished between “automatic machines” (deterministic Turing machines) and “choice machines” (nondeterministic Turing machines). For reasons that need not detain us, Turing focused on the computable real numbers, not on the nature and extent of the computable functions of natural numbers. In the last two sections of the paper (plus the appendix), Turing presents arguments for what we would now call Turing’s Thesis (relativized to computable numbers), The real question at issue is “What are the possible processes which can be carried out in computing a number?” […]
Keywords: Alan Turing, Turing machines, Logic, Artificial Intelligence, Artificial Intelligence Center, AIC