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'.

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

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.

Consciousness ... is the phenomenon whereby the universe's very existence is made known.

But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.

I'm pretty tenacious when it comes to problems.

our present picture of physical reality, particularly in relation to the nature of time, is due for a grand shake up