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Quote by Ursula K. Le Guin

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Ursula K. Le Guin
Ursula K. Le Guin

Ursula K. Le Guin, born on October 21, 1929, is an esteemed American author of science fiction and fantasy. Known for her profound philosophical insights, rich imagination, and unique narrative style, Le Guin's works have won numerous literary awards and have had a significant impact on science fiction and fantasy literature. Her most famous works include the 'Earthsea' series and 'The Left Hand of Darkness', which have won her awards such as the Nebula and Hugo Awards, and she has also received the National Book Award for lifetime achievement for her contributions to literature. more

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“Turing attended Wittgenstein's lectures on the philosophy of mathematics in Cambridge in 1939 and disagreed strongly with a line of argument that Wittgenstein was pursuing which wanted to allow contradictions to exist in mathematical systems. Wittgenstein argues that he can see why people don't like contradictions outside of mathematics but cannot see what harm they do inside mathematics. Turing is exasperated and points out that such contradictions inside mathematics will lead to disasters outside mathematics: bridges will fall down. Only if there are no applications will the consequences of contradictions be innocuous. Turing eventually gave up attending these lectures. His despair is understandable. The inclusion of just one contradiction (like 0 = 1) in an axiomatic system allows any statement about the objects in the system to be proved true (and also proved false). When Bertrand Russel pointed this out in a lecture he was once challenged by a heckler demanding that he show how the questioner could be proved to be the Pope if 2 + 2 = 5. Russel replied immediately that 'if twice 2 is 5, then 4 is 5, subtract 3; then 1 = 2. But you and the Pope are 2; therefore you and the Pope are 1'! A contradictory statement is the ultimate Trojan horse.”

PhilosophyLogicMathematicsMathTuringRussel
Book:The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe
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“You have a visitor, my lord." I frowned, "What?" "That is why I came in here. You have a visitor waiting for you." I stood up, exasperated. "Why didn't you say so?" Lacuna looked confused. "I did. Just now. You were there." She frowned thoughtfully. "Perhaps you have brain damage." "It would not shock me in the least," I said. "Would you like me to cut open your skull and check, my lord?" she asked. Someone that short should not be that disturbing.”

HumorousLogic
Book:Cold Days
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