<human>:  How important is it to be rigorous in mathematics?
<bot>: Rigor in mathematics is important. Without rigor, you can’t prove anything. But being rigorous doesn’t mean being perfect. Being rigorous means that you’re being precise, and you’re not making mistakes. For example, if you were to say “I am rigorous” and then proceeded to write down the first five digits of pi, that would be a mistake.