Hearing One, Knowing Ten
Updated 2026-08-10
INTRODUCTION
English translation pending.
CORE DEFINITION
The comparison comes from the Analects, where Confucius tells Zigong that he is not the equal of Yan Hui: told one thing, Zigong understands two, while Yan Hui understands ten. The core claim is that the measure of understanding is not how much a person has memorized but how much they can correctly derive from a small input, which is the essence of transfer. The qualification is that inference multiplies error as well as insight, so the skill pays off only when each derived step is checked against evidence.
SCAFFOLDING EFFECT
Reduce cognitive load
- Hiring probe: give a candidate one small signal and ask what they derive from it. - Transfer test: check whether a lesson learned in one domain is correctly carried to another. - Derivation drill: after learning a rule, write the consequences it implies before looking them up.
Anchor fast decisions
A principle encodes a relation between variables, so once it is grasped, the values of related cases can be computed rather than memorized. This is why a small input yields many outputs for someone who holds the structure, and almost nothing for someone who holds only facts. The advantage compounds, because each correct derivation also tests and sharpens the underlying principle.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- zh.wikisource.orghttps://zh.wikisource.org/wiki/%E5%82%B3%E7%BF%92%E9%8C%84/%E5%8D%B7%E4%B8%8Bverified
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