FACT: t rex could explode things with it's mind but went extinct because triceratops evolved mind explosion proof armour
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In 1931, the Austrian logician Kurt Gödel pulled off arguably one of the most stunning intellectual achievements in history.
Mathematicians of the era sought a solid foundation for mathematics: a set of basic mathematical facts, or axioms, that was both consistent — never leading to contradictions — and complete, serving as the building blocks of all mathematical truths.
But Gödel’s shocking incompleteness theorems, published when he was just 25, crushed that dream. He proved that any set of axioms you could posit as a possible foundation for math will inevitably be incomplete; there will always be true facts about numbers that cannot be proved by those axioms. He also showed that no candidate set of axioms can ever prove its own consistency.
His incompleteness theorems meant there can be no mathematical theory of everything, no unification of what’s provable and what’s true. What mathematicians can prove depends on their starting assumptions, not on any fundamental ground truth from which all answers spring.
Natalie Wolchover, How Gödel’s Proof Works, Quanta Magazine, July 14, 2020
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“我们听到的一切都是一个观点,不是事实。我们看见的一切都是一个视角,不是真相”
Tất cả những gì chúng ta nghe được chỉ là một quan điểm, không phải thực tế. Tất cả những thứ chúng ta nhìn thấy chỉ là một góc độ, không phải sự thật.
- Như An dịch
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John 8:32 (CSB) -
You will know the truth, and the truth will set you free.”
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"Intuition is your soul whispering the truth to your heart and hoping that you hear." Kate Spencer
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Did you feel the tide switch? Deep blue New York is losing the mental battles.
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i learned about Shiniuzhai, a convenience store hanging on a cliff in Hunan, that’s been nicknamed “most inconvenient convenience store” in China (x)
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William Adolphe Bouguereau (French, 1825-1905)
La Loyauté, 1876
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I think adults need to go outside and play more.
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