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Chapter 2
Reasoning and Proof
| Term | Definition |
|---|---|
| Conditional Statements | If- then statements |
| Hypothesis | Follows the "if" part of a conditional statement |
| Conclusion | Follows the "then" part of the conditional statement |
| Converse | Switches the hypothesis and the conclusion |
| Biconditional | Combines the true conditional and the true converse into an "if and only if" statement |
| Truth Value | The true or false of a conditional |
| Law of Syllogism | Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement. |
| Law of Detachment | If a conditional is true and its hypothesis is true, then its conclusion is true. |
| Negation | A statement has the opposite truth value. |
| Inverse | A conditional statement that negates both the hypothesis and the conclusion |
| Contrapositive | A conditional statement that switches the hypothesis and the conclusion and negates both. |
| Indirect Reasoning | Reasoning that considers all possibilities are considered and then when one is proven false the remaining possibility must be true. |
| Reflexive Property | a=a |
| Symmetric Property | If a=b, then b=a |
| Transitive Property | If a=b and b=c, then a=c |
Created by:
Kstluka
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