AND I don't want to be here. Or statements, also called disjunctions . Logicians call this the inclusive or . In mathematics we don't have cultural clues from which we can guess. The statement p is called the hypothesis and the statement q is called the conclusion .
Implications are the most important statements in mathematics, and they are also the trickiest.
That's why the major task of this section is thinking about implications. There are several big pitfalls involved in recognizing and using implications. Furthermore, we often reverse the order of the statements in an implication, stating the conclusion before the hypothesis. It doesn't rain. Maybe we go inside anyway, and maybe we stay outside.