CIJS,
In mathematics, when writing a proof, be sure to double check it before you declare that the proof is complete: you just might find that you forgot to consider a particular case or that you could've conveyed an idea more clearly and concisely. Hence, when engaging in the art of clearly communicating a mathematical truth, never be quick to assume that you are immune from error, because oftentimes, mathematical understanding is solidified by considering how one may be mistaken.
In mathematics, when writing a proof, be sure to double check it before you declare that the proof is complete: you just might find that you forgot to consider a particular case or that you could've conveyed an idea more clearly and concisely. Hence, when engaging in the art of clearly communicating a mathematical truth, never be quick to assume that you are immune from error, because oftentimes, mathematical understanding is solidified by considering how one may be mistaken.