When I was in Cambridge reading mathematics, I went to Amsterdam for the International Mathematics Congress. There I saw M.C. Escher's fascinating work. That inspired me to try my hand at drawing such impossibilities.
Roger PenroseRead
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.
Interpretation
The quote emphasizes the value of deep, sustained contemplation on difficult problems.
Roger Penrose highlights the importance of pondering deeply and thoughtfully over problems rather than rushing to conclusions. This approach fosters a more profound understanding and often leads to insightful solutions that may take years to emerge, suggesting that patience and persistence can be more valuable than immediate responses.
In practice
In a seminar about problem-solving techniques, this quote can be used to illustrate the importance of deep thinking.
When I was in Cambridge reading mathematics, I went to Amsterdam for the International Mathematics Congress. There I saw M.C. Escher's fascinating work. That inspired me to try my hand at drawing such impossibilities.
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.
Consciousness ... is the phenomenon whereby the universe's very existence is made known.
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.
I believe there is something going on in a conscious being, which includes many animals, as well as ourselves, that is not a computational activity. And to be conscious at all is not a quality that a computer as such will ever possess - no matter how complicated, no matter how well it plays chess or any of these things.
Some people take the view that we happen by accident. I think that there is something much deeper, of which we have very little inkling at the moment.
If you want to give light to others you have to glow yourself.
I give myself very good advice, but I very seldom follow it.
Never spend your money before you have earned it.
Compared with what we ought to be, we are only half awake. Our fires are damped, our drafts are checked. We are making use of only a small part of our possible mental and physical resources.
Bear in mind that brains and learning, like muscle and physical skill, are articles of commerce. They are bought and sold. You can hire them by the year or by the hour. The only thing in the world not for sale is character.
Part of resilience is deciding to make yourself miserable over something that matters, or deciding to make yourself miserable over something that doesn't matter.
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