Definition: A tenet contrary to received opinion.
http://www.merriam-webster.com/dictionary/paradox
1. Criminals are smarter than law abiding citizens.
-People assume that criminals are unintelligent and break the law as a last resort. The reality is criminals do not limit themselves by the confines of the law and have more chances to excel. They have figured out how to beat the system and exploit its weaknesses for their own advantage.
2. The less you speak the more others listen.
-It would seem that people would pay more attention to someone who talks a lot but in reality less is more. If a quiet person expresses an idea they have obviously thought it out and think that it is worthwhile enough to explain. Just like anything else the less there is of something the more value it has.