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 a man's fortune does not fit him, it is like the shoe in the story; if too large it trips him up, if too small it pinches him.
When one side only of a story is heard and often repeated, the human mind becomes impressed with it insensibly.
Caesar was a man of great common sense and good taste, meaning thereby a man without originality or moral courage.
Shame is the most powerful, master emotion. It's the fear that we're not good enough.
She still had her bad days, no question, when the black dog of depression sniffed her out and settled its crushing weight on her chest and breathed its pungent dog breath in her face. On those days she called in sick to the IT shop where, most days, she untangled tangled networks for a song. On those days she pulled down the shades and ran dark for twelve or twenty-four or seventy-two hours, however long it took for the black dog to go on home to its dark master.
Many stories matter. Stories have been used to dispossess and to malign. But stories can also be used to empower, and to humanize. Stories can break the dignity of a people. But stories can also repair that broken dignity.
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