With thought comprising a non-computational element, computers can never do what we human beings can.

Quantum mechanics makes absolutely no sense.

Understanding is, after all, what science is all about — and science is a great deal more than mindless computation.

I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.

People think of these eureka moments and my feeling is that they tend to be little things, a little realisation and then a little realisation built on that.

It seems to me that we must make a distinction between what is "objective" and what is "measurable" in discussing the question of physical reality, according to quantum mechanics. The state-vector of a system is, indeed, not measurable , in the sense that one cannot ascertain, by experiments performed on the system, precisely (up to proportionality) what the state is; but the state-vector does seem to be (again up to proportionality) a completely objective property of the system, being completely characterized by the results it must give to experiments that one might perform.

If you didn’t have any conscious beings in the world, there really wouldn’t be morality but with consciousness that you have it.