Posted Apr 5, 2026

Things Are Revealed By Their Opposites

Is there a long without a short?

Looking for something to read before bed a few nights ago, I grabbed a book by Rumi from my library and opened it to a random page. In it, he discussed the saying: things are revealed by their opposites. It wasn’t my first time hearing this idea; years ago, I bought a dictionary of antonyms at a thrift store, suspecting that thinking in opposites would deepen my understanding of words.

I wanted to reflect on this idea. Are things revealed by their opposites? Take a dog, for example. A dog seems to have many opposites, depending on the quality you consider. In some ways, a stone is the opposite of a dog. The stone-dog pair can be seen as a symbol of aliveness.

But it’s not a great symbol. Why? First, a dog isn’t the most alive thing we can think of (a baby might be better), and the same goes for the stone. More importantly, a dog has many other qualities, like having fur, that a stone lacks. This ambiguity makes it a weak symbol.

The mathematical perspective

Let’s abstract the dog and the stone. Picture each being as a vector, with each dimension representing a quality like aliveness. The dog scores close to 1.0 on aliveness, while the stone scores close to zero.

If we picture every possible quality as a dimension, an ideal symbol for a specific quality is a pair of points sharing the same value across all but one dimension. The difference in that single dimension should be stark.

For example, the pair (0.3, 0.5, 1.0) and (0.3, 0.5, 0.0) is ideal for representing the third quality¹.

Defining leadership

This subject reminded me of a night out with two friends, both business leaders. I asked them to define a leader. One said it’s all about setting direction; the other argued that taking care of employees is more important. Neither wanted to compromise.

After they gave up trying to convince each other, I suggested we think about the opposite of a leader, hoping it would give us some clarity. The first word that came to mind was follower. A follower is led and does what the leader asks. ²

Then I thought of a king, the ultimate leader. Surely, he has a duty to protect his people. Still, his traditional primary duty is to interpret and apply the will of Heaven. That’s direction. Historically, the Chinese people interpreted catastrophes as a sign their leader had lost the Mandate of Heaven, assuming the right emperor would always protect them from extreme harm.

If true, this implies both friends were right. A good leader provides a good direction, which naturally leads to good outcomes for their people. Caring for your employees means, first and foremost, pointing them the right way. If you don’t do your job right, they suffer the consequences.

Conclusion

So, are things revealed by their opposites? Thinking about followers definitely clarifies what a leader is. Could we understand what a leader is if there were no followers? Would there even be such a concept? Perhaps it would exist, but we wouldn’t see it. Indeed, if everything we perceive has the same level of a quality, the lack of contrast makes it unnoticeable.