理解的指引:如同手指指向月亮

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理解的指引:如同手指指向月亮

作者分享了他对学习和理解事物的哲学思考,认为将事物描述为“X是Y”并非简化,而是提供理解事物的一种方式,如同“手指指向月亮”,指引我们去探索本质。

“月亮”象征着最终的理解和领悟,而这些描述则是引导人们到达那个状态的工具。

作者强调,许多概念,例如NP完全性,本身无法被完全定义,只能通过它所产生的影子——其含义、应用和相关概念——来理解。

真正深刻的理解来自于算法之间的联系、不同实现方式的比较,以及对概念要求的放松,这能帮助我们更深入地探索底层思想。

查看原文开头(英文 · 仅前 3 段)

I've been reflecting a bit on my philosophy of learning stuff. How I like to think about things (and maybe how you like to think about things, if you like to read this newsletter).

I make a lot of observations of the form "X is Y" which tend to get understood sometimes as being reductive, and missing important aspects of both concepts. Which is strange to me because I think it seems fairly clear that the intended reading of "X is Y" is "one way, of many, of conceiving of X is that it is an instance of Y." This is actually my favourite kind of insight, when I can draw an explicit line between two things I sort of understand and as a result deepen my understanding of both. Such connections are not intended for everyone; someone without an extant understanding of either topic would probably not be able to get much out of a connection being drawn.

For a long time, I didn't have a good explanation for what I'm doing when I made those kinds of comparisons, and why I think they're valuable, until recently!

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