Roger Penrose quote

"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'."

Roger Penrose

Born: August 8, 1931

Occupation: Physicist

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Roger Penrose

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

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Roger Penrose

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

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Roger Penrose

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.

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Roger Penrose

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.

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Roger Penrose

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...

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Roger Penrose

There are considerable mysteries surrounding the strange values that Nature's actual particles have for their mass and charge. For example, there is the unexplained 'fine structure constant' ... governing...

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Roger Penrose

No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending...

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Roger Penrose

The basic theory in twistor theory is not to add extra dimensions.

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Roger Penrose

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.

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Roger Penrose

Well I didn't actually see the Matrix but I've seen other movies where with similar sorts of themes.

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Roger Penrose

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

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Roger Penrose

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.

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Roger Penrose

I was indeed very slow as a youngster.

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Roger Penrose

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

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Roger Penrose

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

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Roger Penrose

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.

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Roger Penrose

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.

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Roger Penrose

Some years ago, I wrote a book called the Emperor's New Mind and that book was describing a point of view I had about consciousness and why it was not something that comes about from complicated calculations.

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Roger Penrose

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.

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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...

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Roger Penrose

Ambition, idly vain; revenge and malice swell her train.

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Roger Penrose

It may well be there is something else going on in the brain that we don't have an inkling of at the moment.

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Roger Penrose

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

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Georg C. Lichtenberg

I have often noticed that when people come to understand a mathematical proposition in some other way than that of the ordinary demonstration, they promptly say, "Oh, I see. That's how it must be." This...

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Chen-Ning Yang

Nature seems to take advantage of the simple mathematical representations of the symmetry laws. When one pauses to consider the elegance and the beautiful perfection of the mathematical reasoning involved...

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Aron Nimzowitsch

How is it to be explained that something inside me revolts against the playing of obvious moves? Perhaps we may perceive the underlying reason in the fact that I derive satisfaction from seeking to reveal...

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Hippolyte Taine

The more I study the things of the mind the more mathematical I find them. In them as in mathematics it is a question of quantities; they must be treated with precision. I have never had more satisfaction...

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George Washington

The investigation of mathematical truths accustoms the mind to method and correctness in reasoning, and is an employment peculiarly worthy of rational beings.

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Ivan Sutherland

A display connected to a digital computer gives us a chance to gain familiarity with concepts not realizable in the physical world. It is a looking glass into a mathematical wonderland.

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Nicole Krauss

Without memories to cloud it, the mind perceives with absolute clarity. Each observation stands out in stark relief. In the beginning, when there's not yet a smudge, the slate still blank, there is only...

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Maurice Ravel

My intention here is to make it clear that not a single cell of my composition, here in regard to The Raven, is found by chance or intuition, that the composition moved towards perfection with the precision...

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James R Newman

The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this new member of the solar system, and its exact location, were...

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Joseph Lovering

The great problem of today is, how to subject all physical phenomena to dynamical laws. With all the experimental devices, and all the mathematical appliances of this generation, the human mind has been...

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Ralph Caplan

It is important to notice that these badly functioning designs were praised for 'elegance.' But elegance as theoretical scientists apply it is quite different. The elegance of a mathematical formula is...

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George Oppen

A pure mathematical series would be one in which each term is derived from the preceding term by a rule.

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Gilbert K. Chesterton

The real trouble with this world of ours is not that it is an unreasonable world, nor even that it is a reasonable one. The commonest kind of trouble is that it is nearly reasonable, but not quite. ......

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Gottlob Frege

It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves the names of thought. It only becomes possible at all after the...

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Martin Heidegger

The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental...

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Antonio Gramsci

How many times have I wondered if it is really possible to forge links with a mass of people when one has never had strong feelings for anyone, not even one's own parents: if it is possible to have a collectivity...

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Cassius Jackson Keyser

The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical...

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