A | B |
Conditional statement | A type of logical statement that has two parts, a hypothesis and a conclusion. |
If-then form | A conditional statement using the words “if” and “then.” The “if” part contains the hypothesis and the “then” part contains the conclusion. |
Hypothesis | The “if” part of a conditional statement. |
Conclusion | The “then” part of a conditional statement. |
Converse | A statement formed by switching the hypothesis and the conclusion of a conditional statement |
Negation | A statement is formed by writing the negative of the statement. |
Inverse | The statement formed when you negate the hypothesis and conclusion of a conditional statement. |
Contrapositive | The statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement. |
Equivalent Statements | Two statements that are both true or both false. |
Postulate | Rules that are accepted without proof. |
Theorem | A true statement that follows as a result of other true statements. |
Biconditional statement | A statement that contains the phrase “if and only if”. |
The law of detachment | If p-> q is a true conditional statement, and p is true, then q is true. |
The law of syllogism | If p -> q and q-> r are true conditional statements, then p ->r is true. |