Roger Penrose Quotes
It is always the case, with mathematics, that a little direct experience of thinking over things on your own can provide a much deeper understanding than merely reading about them.
Consciousness ... is the phenomenon whereby the universe's very existence is made known.
Intelligence cannot be present without understanding. No computer has any awareness of what it does.
our present picture of physical reality, particularly in relation to the nature of time, is due for a grand shake up
If you didn’t have any conscious beings in the world, there really wouldn’t be morality but with consciousness that you have it.
With thought comprising a non-computational element, computers can never do what we human beings can.
It may well be there is something else going on in the brain that we don't have an inkling of at the moment.
It is hard to see how one could begin to develop a quantum-theoretical description of brain action when one might well have to regard the brain as "observing itself" all the time!
My own way of thinking is to ponder long and I hope deeply on problems and for a long time which I keep away for years and years and I never really let them go.
This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.
Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.
As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on.
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.
Well, I don’t know if I can comment on Kant or Hegel because I’m no real philosopher in the sense of knowing what these people have said in any detail so let me not comment on that too much.
But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.
And these little things may not seem like much but after a while they take you off on a direction where you may be a long way off from what other people have been thinking about.
Well I didn't actually see the Matrix but I've seen other movies where with similar sorts of themes.
There is a certain sense in which I would say the universe has a purpose. It's not there by chance.