Why aren't all $n$-categories equivalent to a strict one?

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Every 2-category is equivalent to a strict 2-category. So naively it would be expected that every n-category is equivalent to a strict one. But this is false. Is there an easy explanation or intuition for this?

While this question is related, it doesn't really provide any intuition for this, and the examples require a lot of background. Is there an easier, even if less rigorous explanation?