Term | Definition |
inductive reasoning | the process of reasoning that a rule or statement is true b/c specific cases are true |
conjecture | a statement believed to be true based on inductive reasoning |
counterexample | use to prove a statement is false |
conditional statement | a statement that can be written in if then form |
hypothesis | the "if" part of a conditional statement |
conclusion | the "then" part of a conditional statement |
truth value | deciding whether a statement is true or false |
negation | the opposite of a statement (not) |
converse | a statement formed by reversing the hypothesis and conclusion of an if then statement |
inverse | a statement formed by negating the hypothesis and conclusion of an if then statement |
contrapositive | a statement formed by both negating and switching the hypothesis and conclusion of an if then statement |
logically equivalent statements | 2 similar conditional statements that have the same truth value |
deductive reasoning | the process of using logic to draw conclusions from given facts, definitions, and properties |
biconditional statement | a conditional statement that can be written in if and only if form |
definition | a statement that describes a math object that can be written as a true biconditional statement |
proof | an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true |
theorem | any statement that you can prove |
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