click below
click below
Normal Size Small Size show me how
NorthCrawford GeoCh2
Patterns and Inductive Reasoning
Term | Definition |
---|---|
Inductive Reasoning | Reasoning based on patterns that you observed. |
Conjecture | Conclusion you reach using inductive reasoning.(An educated guess.) |
Counterexample | An example that shows the conjecture is incorrect. |
Conditional | An If-Then statement |
Hypothesis | the part following if. (p) |
Conclusion | the part following then. (q) |
Negation | the statement (p) is the opposite of the statement. |
Converse | Exchange the hypothesis and conclusion. |
Inverse | Negate both the hypothesis and the conclusion of the conditional. |
Contrapositive | Negate both the hypothesis and the conclusion of the converse. |
Biconditional | Single true statement that combines a true conditional and a true converse. |
Deductive Reasoning | Process of reasoning logically from given statements or facts. |
Law of Syllogism | Allows you to state a conclusion form true conditional statements when the conclusion of one statement is the hypothesis of another statement. |
Reflexive Property | a=a |
Symmetric Property | If a=b, then b=a. |
Transitive Property | If a=b and b=c, then a=c. |
Theorem | Statement proven true. |
Truth Table | Lists all the possible combinations of truth values for two or more statements. |
Disjunction | Connects two or more statements with or. |
Conjunction | Connects two or more statements with and. |
Compound Statement | Combines two or more statements. |