What does it mean (to you) to understand a piece of mathematics?

#math #PhilosophyOfMathematics #understanding

@PetraSchwer It obviously depends on a multitude of aspects:

Whether the statement is "useful" for me in a contextual or professional way.

Whether the line of reasoning is elegant w.r.t. my own "maths aesthetics".

Whether it matches my intuition about how the concepts in question "should be" related - i.e. whether I "like" the result 😛

How about you?