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.

Mathematical reasoning may be regarded.

We can only see a short distance ahead, but we can see plenty there that needs to be done.

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

The original question, 'Can machines think?' I believe to be too meaningless to deserve discussion.

If a machine is expected to be infallible, it cannot also be intelligent.