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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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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Stephen Hawking

One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From the viewpoint of positivist philosophy, however, one cannot determine what...

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James Jeans

Kant, discussing the various modes of perception by which the human mind apprehends nature, concluded that it is specially prone to see nature through mathematical spectacles. Just as a man wearing blue...

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Charles Hermite

There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as a world of physical reality exists, the one like the...

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Pierre-Simon Laplace

It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the world will offer us numerous examples, makes one of the...

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John Arbuthnot

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which...

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G. H. Hardy

I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world... Judged by all practical...

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Don DeLillo

We feel certain that the extraterrestrial message is a mathematical code of some kind. Probably a number code. Mathematics is the one language we might conceivably have in common with other forms of intelligent...

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Muhammad Iqbal

The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference...

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Henri Poincare

It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature...

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Keith Devlin

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly...

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Jean-Pierre Serre

It strikes me that mathematical writing is similar to using a language. To be understood you have to follow some grammatical rules. However, in our case, nobody has taken the trouble of writing down the...

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Lee Smolin

But in spite of the obvious effectiveness of mathematics in physics, I have never heard of a good a prioriargument that the world must be organised to mathematical principles.

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Sherwood Anderson

In the beginning when the world was young there were a great many thoughts but no such thing as a truth. Man made the truths himself and each truth was a composite of a great many vague thoughts. It was...

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George Polya

One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything...

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Aiden Wilson Tozer

All nature has come to expect from God a sense of orderliness. Whatever God does carries with it His fingerprint. And in the world around us His fingerprint of orderliness is evident to anybody who is...

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George Polya

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.

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John von Neumann

The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations,...

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Gabriel Lippmann

[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be an experimental fact.

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Martin Gardner

Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It's made of electrons and neutrons and protons. So...

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Julian Coolidge

[Before the time of Benjamin Peirce it never occurred to anyone that mathematical research] was one of the things for which a mathematical department existed. Today it is a commonplace in all the leading...

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