I want to do something a little different from my normal AI content. I had a logical idea for a better visualization of the golden mean, specifically as a color picker model, and I think it’s worth writing up.
The Problem with the Traditional Golden Mean
Aristotle’s golden mean defines virtue as the midpoint between two vices. Courage sits between cowardice on one side and foolhardiness on the other. The traditional way to visualize this is a linear axis or a triangle, with cowardice at one end, foolhardiness at the other, and courage somewhere in the middle.
My problem with that model is that it suggests you can’t be at all foolhardy until you’re not at all cowardly. It presents courage as simply being “not too cowardly” and “not too foolhardy”, but I don’t see courage as existing between those two points on a single axis. The model implies they are opposites of the same quality, that moving away from one necessarily moves you toward the other.
That’s wrong. Both foolhardiness and cowardice lack an important element that courage requires. If we define courage as vigor guided by prudence, then cowardice is all of the caution with none of the vigor, and foolhardiness is all of the vigor with none of the prudence. Courage isn’t some mix of the two. It is the fullness of the attribute. You need both dimensions operating at full capacity, not a compromise between them.
The traditional model also excludes a very real possibility: that someone can be both cowardly and foolhardy at the same time. That doesn’t make sense on a linear axis, but it makes plenty of sense in real life.
The Color Picker Model
Here’s the diagram I came up with:
The idea borrows from how a standard color picker works. In a color picker, you have a two-dimensional grid where one axis controls saturation and the other controls brightness. They are independent. You don’t have to reduce brightness to increase saturation. The same logic applies here.
In the color picker model, the X axis represents vigor and risk-taking, and the Y axis represents caution and prudence. These are independent dimensions, not opposites. That gives you four meaningful regions. Low vigor and low prudence is cowardice, not because you lack nerve alone, but because you have none of the necessary qualities in play. High vigor and low prudence is foolhardiness. You’re taking risks without any wisdom guiding them. High vigor and high prudence together is where courage lives. That is the top-right of the grid, not the midpoint of a line.
The diagonal arrow running from the top-left to the bottom-right of the square, from cowardice toward foolhardiness, is essentially the axis the traditional model is describing. Moving along that diagonal means trading one deficiency for another. That axis is not the one you want. The axis you want runs from the center of the grid toward the top-right, toward increasing both dimensions at the same time.
Why This Matters
The color picker model allows for something the traditional model cannot account for: a person can be both cowardly and foolhardy at the same time. Think of someone who takes wild, impulsive risks in one area of their life while being paralyzed by excessive caution in another. Or someone who acts rashly in low-stakes situations and refuses to act at all when it actually counts. The traditional golden mean has no room for that person. The color picker model places them clearly: somewhere in the lower half of the grid, with both dimensions underdeveloped.
More importantly, the model reframes what courage actually requires. It isn’t about moderating two bad tendencies until you land somewhere acceptable in the middle. Courage requires both qualities operating at full strength. You need the vigor to act and the prudence to act well. Cutting either one doesn’t bring you closer to courage. It just changes what kind of failure you’re dealing with.
There’s also something worth noting about how the traditional model handles the relationship between the two vices. By placing them at opposite ends of a single axis, it implies a kind of symmetry that doesn’t hold up. Cowardice and foolhardiness are not mirror images of each other. They fail in different directions along different dimensions. A person with high prudence and low vigor is not the opposite of a person with high vigor and low prudence. They are both deficient, but in categorically different ways. Treating them as endpoints on a spectrum forces a false equivalence that the two-dimensional model avoids.
The color picker analogy also makes the goal clearer. In a color picker, you’re not looking for a neutral gray in the middle of the grid. You’re looking for a specific, saturated, bright color in the top-right corner. The middle of the grid is not the ideal. The top-right is. That’s exactly how courage works. The goal is not to find a comfortable compromise between recklessness and timidity. The goal is to build both qualities to their fullest and have them work together.
The traditional golden mean is a useful starting point for thinking about virtue, but it breaks down when you try to apply it carefully. The color picker model is a more honest picture of what the virtue actually demands.