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| | | | |
| | ==Rules of inference== | | ==Rules of inference== |
| − | | + | Modus Ponens: |
| | #If A, then B. | | #If A, then B. |
| | #A | | #A |
| | #Therefore, B. | | #Therefore, B. |
| | | | |
| − | #If not B, then not A. | + | Modus Tollens: |
| | + | #If A, then B. |
| | #Not B | | #Not B |
| | #Therefore, not A. | | #Therefore, not A. |
| | | | |
| | + | Disjunctive Syllogism: |
| | + | #A or B |
| | + | #Not A |
| | + | #Therefore, B |
| | + | |
| | + | Hypothetical Syllogism (or Chain Argument): |
| | + | #If A, then B |
| | + | #If B, then C |
| | + | #Therefore, if A, then C |
| | [[category:logic]] | | [[category:logic]] |