How it works
You start from two contrary terms, which exclude each other but can coexist in tension: S1 and S2 (for example emotion and reason). Each is paired with its negation, the contradictory term: not-S1 (not emotion) and not-S2 (not reason). The four terms sit at the corners of the square:
- S1 and S2 at the top: the two poles of the tension.
- not-S2 and not-S1 at the bottom: their negations, each under the pole it implies (not-S2 under S1, not-S1 under S2).
- The diagonals connect the contradictories: S1 with not-S1, S2 with not-S2.
The framework’s value lies in the two bottom positions: they’re the ones a reading “in pairs” doesn’t see, and they’re often where the most original positionings come from.
A classic example: consumption values
Jean-Marie Floch applied the square to the values a product can hold for the people who buy it, starting from the tension between use values (practical) and base values (existential). From this he derives four ways of valuing a product:
- Practical — what counts is usefulness: it works, it’s convenient, it’s reliable.
- Utopian — what counts is identity: it says who I am, what I aspire to.
- Critical — what counts is calculation: value for money, convenience, comparison.
- Playful — what counts is pleasure: play, aesthetics, the gesture for its own sake.
Two brands in the same category can speak to two different corners of the square and not really compete with each other; two brands that seem worlds apart can instead be fighting over the same corner.
How to use it, in five steps
1. Find the category’s underlying tension
Look at how brands communicate, what customers say, what packaging promises. Look for the pair of values the category splits along: tradition and innovation, control and letting go, belonging and distinction. A good pair is specific to the category; “quality and price” is almost always too generic.
2. Build the negations
For each pole, ask what it means not to be it, without jumping to the opposite pole. “Not tradition” isn’t “innovation”: it can be indifference to the past, lightness, irony.
3. Fill the corners with signs
For each position, collect the codes it’s expressed through: words, images, colors, tones of voice, consumption rituals. That’s what makes the square an operational tool and not just a theoretical one.
4. Place brands and competitors
Position each brand where its communication actually puts it, not where it would like to be. Crowded corners are where differentiation costs the most.
5. Look for open corners and transitions
An empty corner is a positioning hypothesis to test with consumers. Paths matter too: a brand moving from one corner to another has to pass through the negation, and that transition has to be told.
The most common mistakes
- Confusing contrary and contradictory. The opposite of “tradition” is not its negation: they’re two different positions on the square.
- Choosing a trivial pair. If it applies to every category, it says nothing about this one.
- Mapping products instead of meanings. The square places values and codes, not technical features.
- Placing brands by how they describe themselves. What counts is how they communicate and how customers perceive them.
- Stopping at the map. An open corner is a hypothesis: it has to be tested before it becomes a positioning.
