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Quote by 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.”

Quote by Roger Penrose

Book:The Road To Reality: A Complete Guide to the Laws of the Universe

Work

The Road To Reality: A Complete Guide to the Laws of the Universe

This comprehensive guide delves into the intricate laws that govern the universe, examining the fields of physics and cosmology. It provides a detailed look at the fundamental forces and particles that shape our understanding of reality. more

Author

Roger Penrose is a British theoretical physicist renowned for his contributions to general relativity and cosmology. He is internationally recognized for his in-depth research on black holes and cosmic singularities. more

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“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room.”

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Author:Andrew Wiles

“The heart of mathematics consists of concrete examples and concrete problems. Big general theories are usually afterthoughts based on small but profound insights; the insights themselves come from concrete special cases.”

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Book:Selecta: expository writing

Source: Selecta: expository writing

“If my false figures came near to the facts, this happened merely by chance ... These comments are not worth printing. Yet it gives me pleasure to remember how many detours I had to make, along how many walls I had to grope in the darkness of my ignorance until I found the door which lets in the light of the truth ... In such manner did I dream of the truth.”

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“The best way to learn is to do; the worst way to teach is to talk.”

Way Teach Worst Mathematics Best Way

Author:Paul Halmos

“The evident character of this defective cognition of which mathematics is proud, and on which it plumes itself before philosophy, rests solely on the poverty of its purpose and the defectiveness of its stuff, and is therefore of a kind that philosophy must spurn”

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Book:Phenomenology of Spirit

Source: Phenomenology of Spirit

“"Do you know," the Devil confided, "not even the best mathematicians on other planets - all far ahead of yours - have solved it? Why, there is a chap on Saturn - he looks something like a mushroom on stilts - who solves partial differential equations mentally; and even he's given up."”

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Author:Arthur Porges

“I set out to show that there exists single creative activity,which is displayed alike in the arts and in the sciences.It is wrong to think of science as a mechanical record of facts, and it is wrong to think of the arts as remote and private fancies. What makes each human, what makes them universal, is the stamp of the creative mind.”

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Book:Science and Human Values

Source: Science and Human Values

“Every society rests in the last resort on the recognition of common principles and common ideals, and if it makes no moral or spiritual appeal to the loyalty of its members, it must inevitably fall to pieces.”

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Book:Christianity and European Culture (Selections from the Work of Christopher Dawson)

Source: Christianity and European Culture (Selections from the Work of Christopher Dawson)

“There is a very good saying that if triangles invented a god, they would make him three-sided.”

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Author:Baron de Montesquieu

“Physics is an otherworld thing, it requires a taste for things unseen, even unheard of- a high degree of abstraction... These faculties die off somehow when you grow up... profound curiosity happens when children are young. I think physicists are the Peter Pans of the human race... Once you are sophisticated, you know too much- far too much. Pauli once said to me, "I know a great deal. I know too much. I am a quantum ancient.".”