This problem is what necessitated the need to converse with other people and read books. By hearing the views of others we learn and develop new ways of thinking.
[One with Sword] then proceed to explain. "Because of the soft iron, when the sword hits a hard object it bends, pure steel on the other hand crumbles or snaps."
Tsugumi then had an epiphany, just like how you can never cut apart water but can cut apart rock. If you are too rigid you will get slowly cut till you break. In contrast, as water accepts force the force and gives way. After the force has passed its reforms once more, allowing it to survive more than the rock.
The woman like an honor student gave her answer. "Aura is rigid and does not bend, thus when used it either overcomes or breaks. Spirit bends but has little to give it weight. By adding the flexibility of Spirit, Aura is able to withstand more punishment."