“Clear thinker” is a better compliment than “smart.”Real knowledge is intrinsic, and it’s built from the ground up.To use a math example, you can’t understand trigonometry without understanding arithmetic and geometry.Basically, if someone is using a lot of fancy words and a lot of big concepts, they probably don’t know what they’re talking about.I think the smartest people can explain things to a child.If you can’t explain it to a child, then you don’t know it.It’s a common saying and it’s very true.Richard Feynman very famously does this in “Six Easy Pieces,” one of his early physics lectures.He basically explains mathematics in three pages.He starts from the number line—counting—and then he goes all the way up to precalculus.He just builds it up through an unbroken chain of logic.He doesn’t rely on any definitions.The really smart thinkers are clear thinkers.They understand the basics at a very, very fundamental level.I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.If you can’t rederive concepts from the basics as you need them, you’re lost.You’re just memorizing.The advanced concepts in a field are less proven.We use them to signal insider knowledge, but we’d be better off nailing the basics.
与“聪明”相比, “清晰的思考者”是一种更好的赞美。
真正的知识是内在的,是从头开始构建的。使用数学示例,如果不理解算术和几何,就无法理解三角学。基本上,如果有人使用了很多花哨的词语和很多大概念,他们可能不知道自己在说什么。我认为最聪明的人可以向孩子解释事情。如果你不能向孩子解释,那你就不知道。这是一个常见的说法,这是非常真实的。
理查德·费曼( Richard Feynman )在他早期的物理学讲座之一《六个简单的部分》( Six Easy Pieces )中非常有名。他基本上用三页来解释数学。他从数字行计数开始,然后一直到微积分。他只是通过不间断的逻辑链来构建它。他不依赖任何定义。
真正聪明的思考者是清晰的思考者。他们非常非常了解基础知识。我宁愿更好地理解基础知识,也不愿记住各种复杂的概念,因为我无法拼凑在一起,也无法从基础知识中重新推导出来。如果你不能根据需要从基础知识中重新衍生出概念,你就迷失了方向。你只是在记忆。
一个领域的高级概念不太成熟。我们用它们来传达内部知识,但我们最好敲定基础知识。
“Clear thinker” is a better compliment than “smart.”
与“聪明”相比, “清晰的思考者”是一种更好的赞美。
clear thinker/klɪr ˈθɪŋkər/
思维清晰的人
Ex: “Clear thinker” is a better compliment than “smart.”
I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.
Ex: I would rather understand the basics really well than memorize all kinds of complicated concepts I can’t stitch together and can’t rederive from the basics.