Knowledge Compounds Only When Connected
Isolated facts do not compound. Knowledge grows exponentially only when new ideas are connected to existing ones, forming a network where each node makes every other node more valuable.
"The more you learn about something, the easier it is to learn more. Growing an audience is another: the more fans you have, the more new fans they'll bring you." Paul Graham
Paul Graham identifies learning as an instance of exponential growth but the curve "feels flat in the beginning." This is why most people quit too early or fail to invest in the early, unrewarding phase. The compound interest metaphor applies directly to note-taking: Ahrens compares putting notes into the slip box to "investing and reaping the rewards of compounded interest." More notes mean more possible connections, more ideas, more synergy between projects, and "a much higher degree of productivity."
The mechanism is chunking. Simon and de Groot showed that chess masters perceive the board in elaborate chunks rather than individual pieces. Each chunk is a previously encoded pattern that makes the next pattern easier to recognize and absorb. In a note system, every connection you make between two ideas creates a new chunk a new unit of meaning that makes subsequent connections cheaper to form. Nielsen describes the same effect with Anki: "atomic ideas can be put together in ways I didn't initially anticipate."
But there is a prerequisite: the connections must be explicit. An idea that sits in a notebook, unlinked to anything, is an "orphan" that will be forgotten. Luhmann warned that "a note that is not connected to this network will get lost in the card file and will be forgotten by it." The discipline of linking asking "what does this remind me of? what does this contradict? what does this extend?" is what transforms a collection of facts into a compounding asset.
Takeaway: Every time you learn something new, invest the extra minute to connect it to what you already know that connection is where the compound interest actually accrues.
See also: The Slip Box Is a Conversation Partner | Syntopical Reading Is How You Build Understanding | Asabiyyah Drives Civilizations