Mathematics is full of counterintuitive facts and problems that push your mind to new areas and challenge your cognitive versatility. 

The next nine facts are just a few of those puzzles; problems that have a habit of sparking arguments and debates among even some of the smartest students. 

While they may seem controversial, they're all rock solid fact. 

Several of them are paradoxes and idiosyncrasies of probability.  Others play your instincts against your logic. If you're looking for a mathematical way to impress your friends and beguile your enemies, here's a good place to start. 

Just a heads-up, these problems are a little tougher than last time. If you lose track, don't quit. 

Please send all attempts at counter-proofs as well as any miscellaneous abuse or beration to either or @WaltHickey.

(h/t) to Prof. Bill Stewart at the College of William and Mary Business School for identifying a correction to this slide

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The 12 Most Controversial Facts In Mathematics >

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