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Quote by Gottlob Frege

“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.”

Quote by Gottlob Frege

Author

Gottlob Frege (November 8, 1848 - July 26, 1925) was a German mathematician, logician, and philosopher. He is considered one of the founders of modern logic and his work has had a profound impact on mathematics, logic, and philosophy. more

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“I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.”

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“There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.”

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“It would be foolish to give credit to Euclid for pangeometrical conceptions; the idea of geometry deifferent from the common-sense one never occurred to his mind. Yet, when he stated the fifth postulate, he stood at the parting of the ways. His subconscious prescience is astounding. There is nothing comperable to it in the whole history of science.”

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“As the sun is best seen at his rising and setting, so men's native dispositions are clearest seen when they are children, and when they are dying.”

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“Intellectual work is an act of creation. It is as if the mental image that is studied over a period of time were to sprout appendages like an ameba—outgrowths that extend in all directions while avoiding one obstacle after another—before interdigitating with related ideas.”

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“I would be the last to deny that the greatest scientific pioneers belonged to an aristocracy of the spirit and were exceptionally intelligent, something that we as modest investigators will never attain, no matter how much we exert ourselves. Nevertheless ... I continue to believe that there is always room for anyone with average intelligence ... to utilize his energy and ... any man could, if he were so inclined, be the sculptor of his own brain, and that even the least gifted may, like the poorest land that has been well-cultivated and fertilized, produce an abundant harvest.”

“In summary, all great work is the fruit of patience and perseverance, combined with tenacious concentration on a subject over a period of months or years.”

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“Physical pain is easily forgotten, but a moral chagrin lasts indefinitely.”

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