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### 20 Cards in this Set

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 Conjecture An educated guess Inductive Reasoning Looking at several specific situations to arrive at a conjecture Counterexample A false example to show that a conjecture is not true Conditional Statement that can be written in "if-then" form Hypothesis The part of the conditional statement following the if Conclusion The part of the conditional statement following the then Converse Another if-then statement formed by exchanging the hypothesis and conclusion of a conditional q -> p Negation The denial of a statement ~p Inverse A new conditional statement formed by negating both the hypothesis and conclusion ~p -> ~q Contrapositive Conditional statement formed by negating the hypothesis and conclusion of the converse of the given conditional ~q -> ~p Postulate 2-1 Through any two points, there is exactly one line. Postulate 2-2 Through any three noncollinear points, there is exactly one plane Postulate 2-3 A line contains at least two points Postulate 2-4 A plane contains at least three noncollinear points Postulate 2-5 If two points lie in a plane, then the entire line containing those two points lies in that plane Postulate 2-6 If two planes intersect, then their intersecion is a line Venn diagram Diagram sometimes used to illustrate a conditional Law of Detachment If p -> q is a true conditional and p is true, then q is true Deductive reasoning A system for reaching logical conclusions using the law of detachment and other laws of logic Law of Syllogism If p -> q and q -> r are true conditionals, then p -> r is also true