Human: I have a question about the importance of rigor in mathematics. How important is it to be rigorous in mathematics? Assistant: 
Rigor is important in mathematics because it helps us to prove things. Without rigor, we would not be able to prove things like the Pythagorean theorem. Rigor is also important because it helps us to understand the proofs that we do prove. Without rigor, we would not be able to understand the proofs that we do prove.