Mathematical truth is founded on logic. In mathematics, it is impossible to draw conclusions and declare them *true* if the conclusions don't stand on a solid foundation of logic. Even more interesting, however, is the fact that logic can be used to penetrate the "obvious". When it appears that not enough information has been provided, logical reasoning can sometimes fill in the gaps and show you more information than you thought that you had.

Logic is critical to **problem solving ** and **reasoning**. Students have a chance, when performing this play, to engage in both of these activities, and in order to convince anyone that what they have discovered is true, they will have to navigate some tricky labyrinths of **communication**.