Where More Is Different
The concept that when you double exposure to something, the harm or effect may more than double (fragility) or not (robustness), and that adding units often yields outcomes that are nonlinearly different from the sum of parts, as seen in complex systems.
THE IDEA
WHERE MORE IS DIFFERENT
Another intuitive way to look at convexity effects: consider the scaling property. If you double the exposure to something, do you more than double the harm it will cause? If so, then this is a situation of fragility. Otherwise, you are robust.
The point has been aptly expressed by P. W. Anderson in the title of his paper “More Is Different.” And what scientists involved in complexity call “emerging properties” is the nonlinear result of adding units, as the sum becomes increasingly different from the parts. Just look at how different the large stone is from the pebbles: the latter have the same weight and the same general shape, but that’s about it. Likewise, we saw in Chapter 5 that a city is not a large village; a corporation is not a larger small business. We also saw how randomness changes in nature from Mediocristan to Extremistan, how a state is not a large village, and many alterations that come from size—and speed. All these show nonlinearity in action.
When to use it
Evaluating the risk of scaling a business: rapid growth may expose vulnerabilities that were not present at a smaller scale (fragility).
Urban planning: understanding that increasing city density leads to emergent challenges (traffic, pollution, social dynamics) that are not linear.
Risk assessment in finance: when adding exposure to a volatile asset, the potential loss may grow faster than the investment size.
Scientific research: studying how complex systems (e.g., ant colonies, neural networks) produce emergent properties as the number of interacting elements increases.
FROM THEORY TO EVERYDAY LIFE
In practice
Stone vs Pebbles
A large stone is fundamentally different from a collection of pebbles, even if they share the same total weight and general shape. The stone’s single, solid structure behaves differently under stress, illustrating how scale changes properties.
City vs Village
A city is not simply a large village; it exhibits emergent properties like complex infrastructure, distinct social dynamics, and economic networks that do not exist in a smaller community. Size introduces nonlinear changes.
A MOMENT TO REFLECT
Put it to work.
Consider a real-world situation where doubling a factor (e.g., investment, population, risk) leads to an outcome more than double the original effect. What is that factor, and how does the concept of 'more is different' explain it?
Think of a system where adding more units creates entirely new behaviors not present in the individual components. How does that illustrate nonlinearity and emergence?
How might the idea of fragility vs. robustness apply to your personal or professional decisions? Identify a scenario where scaling up could backfire.
References
- More Is Different — P. W. Anderson
CONTINUE THE CONVERSATION
Source texts
- Antifragile (Nassim Nicholas Taleb)