<human>:  How important is it to be rigorous in mathematics?
<bot>: Rigor in mathematics is important. Without rigor, you can’t prove anything. I’m glad you asked me about this. The most important aspect of rigor in mathematics is being precise. When you write down an equation, you should be precise about what variables you are referring to. For example, in the equation x + y = 1, you should be clear about what the variables x and y represent.