„The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.“

—  Eric Temple Bell, The Search for Truth (1934), p. 191
Eric Temple Bell photo
Eric Temple Bell
1883 - 1960

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Freeman Dyson photo

„The right way to ask the question is: How does the concept of a point fit into the logical structure of Euclid's geometry? …It cannot be answered by a definition.“

—  Freeman Dyson, livro Infinite in All Directions
Infinite in All Directions (1988), Context: Euclid... gave his famous definition of a point: "A point is that which has no parts, or which has no magnitude." …A point has no existence by itself. It exists only as a part of the pattern of relationships which constitute the geometry of Euclid. This is what one means when one says that a point is a mathematical abstraction. The question, What is a point? has no satisfactory answer. Euclid's definition certainly does not answer it. The right way to ask the question is: How does the concept of a point fit into the logical structure of Euclid's geometry?... It cannot be answered by a definition. Ch. 2 : Butterflies and Superstrings, p. 17

Philip Melanchthon photo
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Proclus photo
John Dewey photo

„This intelligence-testing business reminds me of the way they used to weigh hogs in Texas. They would get a long plank, put it over a cross-bar, and somehow tie the hog on one end of the plank. They'd search all around till they found a stone that would balance the weight of the hog and they'd put that on the other end of the plank. Then they'd guess the weight of the stone.“

—  John Dewey American philosopher, psychologist, and educational reformer 1859 - 1952
Misc. Quotes, Quoted by Dorothy Canfield Fisher in Vermont Tradition http://books.google.com/books?id=K7wMAAAAYAAJ&q=%22This+intelligence-testing+business+reminds+me+of+the+way+they+used+to+weigh+hogs+in+Texas+They+would+get+a+long+plank+put+it+over+a+cross-bar+and+somehow+tie+the+hog+on+one+end+of+the+plank+They'd+search+all+around+till+they+found+a+stone+that+would+balance+the+weight+of+the+hog+and+they'd+put+that+on+the+other+end+of+the+plank+Then+they'd+guess+the+weight+of+the+stone%22&pg=PA380#v=onepage (1953)

William Hazlitt photo
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Stanislaw Ulam photo

„Thoughts are steered in different ways.“

—  Stanislaw Ulam Polish-American mathematician 1909 - 1984
Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 275

Ramakrishna photo

„Thinking thus he did not move. At last the elephant took him up by his trunk, and dashed him aside.“

—  Ramakrishna Indian mystic and religious preacher 1836 - 1886
Râmakrishna : His Life and Sayings (1898), Context: The Master said: "Everything that exists is God." The pupil understood it literally, but not in the true spirit. While he was passing through a street, he met with an elephant. The driver (mahut) shouted aloud from his high place, "Move away, move away!" The pupil argued in his mind, "Why should I move away? I am God, so is the elephant also God. What fear has God of Himself?" Thinking thus he did not move. At last the elephant took him up by his trunk, and dashed him aside. He was severely hurt, and going back to his Master, he related the whole adventure. The Master said, "All right, you are God. The elephant is God also, but God in the shape of the elephant-driver was warning you also from above. Why did you not pay heed to his warnings?" Saying 15

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