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### 91 Cards in this Set

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 What is Deductive Reasoning? Given true statements, we can make an argument that another statement is also true. The true statement we start with is the hypothesis, or premises. The true statement we end up at is the conclusion. What is the Rule of Direct Reasoning? Given p->q is true, and p is true, we know that q must be true. **If p->q is true and q is true, we can not infer anything about p .: this is invalid direct reasoning** What is the Rule of Indirect reasoning? Given p->q is true and q is false, then we know that p must be false. **If p->q is true and p is false, we can not infer anything about q .: it is invalid indirect reasoning** How do you make a proof by contradiction? Given p->q, assume that q (or p) is false, while the other remains true. If the conclusion reached is also false, then you have proved p->q to be true. What is a set? A collection of objects or ideas that can be listed or described we use capital letters to denote a set (set A) What is Universe? Universe (U) is the bigger group that a set is derived from. Ex. the primary colors is a set of all colors, where all colors is U What are the three ways to define a set? 1) words 2) list in {} 3) set builder notation What is set builder notation? Ex: {x ∊ U | 7