Mathematical reasoning may be regarded.

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.

Codes are a puzzle. A game, just like any other game.

In attempting to construct such (artificially intelligent) machines we should not be irreverently usurping His (God's) power of creating souls, any more than we are in the procreation of children,” Turing had advised. “Rather we are, in either case, instruments of His will providing mansions for the souls that He creates.

These disturbing phenomena [Extra Sensory Perception] seem to deny all our scientific ideas. How we should like to discredit them! Unfortunately the statistical evidence, at least for telepathy, is overwhelming.

It seems probable that once the machine thinking method had started, it would not take long to outstrip our feeble powers… They would be able to converse with each other to sharpen their wits. At some stage therefore, we should have to expect the machines to take control.

We may hope that machines will eventually compete with men in all purely intellectual fields.