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It's nice, being brought up with no money at all. It's just not how I measure success, so that makes it a bunch easier.

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Roger Penrose

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'.

Plato, Ideas, Mind, Process, Truth, Contact
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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.

Deeper, Direct, Reading, Things, Thinking, Understanding

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

Consciousness, Existence, Known, Made, Phenomenon, Science

There is a certain sense in which I would say the universe has a purpose. It's not there just somehow by chance. Some people take the view that the universe is simply there and it runs along-it's a bit as though it just sort of computes, and we happen by accident to find ourselves in this thing. I don't think that's a very fruitful or helpful way of looking at the universe, I think that there is something much deeper about it, about its existence, which we have very little inkling of at the moment.

Running, Thinking, Views, Runs, Sense, View

We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.

Circle, Circles, Consistency, Law, Mathematics, Physics

I would say the universe has a purpose. It's not there just somehow by chance.

Design, Purpose, Chance, Say, Somehow
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