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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More quotes of Roger Penrose

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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The provisions of the Constitution are not mathematical formulas having their essence in their form; they are organic, living institutions transplanted from English soil. Their significance is vital, not...

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Martin Gardner

If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with...

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George Johnson

Trying to capture the physicists' precise mathematical description of the quantum world with our crude words and mental images is like playing Chopin with a boxing glove on one hand and a catcher's mitt...

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Carl Friedrich Gauss

As is well known the principle of virtual velocities transforms all statics into a mathematical assignment, and by D'Alembert's principle for dynamics, the latter is again reduced to statics. Although...

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Eric Butterworth

In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is...

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Steven Pinker

The great appeal of the doctrine that the mind is a blank slate is the simple mathematical fact that zero equals zero.

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Sam Harris

The core of science is not a mathematical modeling--it is intellectual honesty. It is a willingness to have our certainties about the world constrained by good evidence and good argument.

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Leonardo da Vinci

Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.

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Gerald Jay Sussman

In engineering, as in other creative arts, we must learn to do analysis to support our efforts in synthesis. One cannot build a beautiful and functional bridge without a knowledge of steel and dirt, and...

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George Boole

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.

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George Polya

In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we must be familiar with the forms of expression peculiar...

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Hermann Weyl

Our federal income tax law defines the tax y to be paid in terms of the income x; it does so in a clumsy enough way by pasting several linear functions together, each valid in another interval or bracket...

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Galileo Galilei

Philosophy [nature] is written in that great book which ever is before our eyes -- I mean the universe -- but we cannot understand it if we do not first learn the language and grasp the symbols in which...

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Rudy Rucker

Intellectually, perspective [drawing] is a breakthrough, because here, for the first time, the physical space we live in is being depicted as ifit were an abstract, mathematical space. A less obvious innovation...

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Leonardo da Vinci

A bird is an instrument working according to mathematical law, which instrument it is within the capacity of man to reproduce with all its movements, but not with a corresponding degree of strength, though...

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Andre-Marie Ampere

Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random...

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Anish Kapoor

Much of what I make is geometric, and has a kind of almost mathematical logic to the form

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Stephen Hawking

Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to...

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Isaac Asimov

Science is complex and chilling. The mathematical language of science is understood by very few. The vistas it presents are scary-an enormous universe ruled by chance and impersonal rules, empty and uncaring,...

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William Stanley Jevons

It seems perfectly clear that Economy, if it is to be a science at all, must be a mathematical science. There exists much prejudice against attempts to introduce the methods and language of mathematics...

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Fernand Braudel

For the historian everything begins and ends with time, a mathematical, godlike time, a notion easily mocked, time external to men, 'exogenous,' as economists would say, pushing men, forcing them, and...

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