Math has right answers, but there isn't anyone to tell you what they are. Most of the time you're doing math for real, when you get an answer the next step can'

Math has right answers, but there isn't anyone to tell you what they are. Most of the time you're doing math for real, when you get an answer the next step can't be to check the authoritative answer. The next step has to be something like checking with additional [mathematical] reasoning, running an experiment, (if you're doing math about the world), or consulting with your peers.