| conclusion | the part of a logical statement that provides the result or consequences of the hypothesis—In a statement “If x then y”, the conclusion is y. |
| conjecture | a statement that attempts to make a conclusion but has not been proved true or false |
| counterexample | a situation that provides evidence that a logical statement is false |
| deductive reasoning | a form of logical thinking that uses generalizations to draw specific conclusions based on a series of logical steps, deductive reasoning may use rules, laws, and theories to support or justify a conjecture |
| generalize | the process of using observations of specific events to make statements or conjectures about more general situations |
| hypothesis | the part of a logical statement that provides the premise on which the conclusion is based—In a statement “If x then y,” the hypothesis is x. |
| inductive reasoning | a form of logical thinking that makes general conclusions based on specific situations, inductive reasoning takes the path of observation to generalization to conjecture |
| justify | provide a logical argument for a conclusion or conjecture |
| logical argument | a series of statements, each verifiable as true, that lead to a conclusion |
| logical statement | a statement that allows drawing a conclusion or result based on a hypothesis or premise |