| | M5.A1 Truth Table Exercises |
| | Back-up QUESTION SET |
| | 1 | Premise: | P → Q |
| | | Conclusion: | ~P → ~Q |
| | | P | Q | P → Q | ~P → ~Q |
| | | T | T |
| | | T | F |
| | | F | T |
| | | F | F |
| | 2 | Premise: | P → Q |
| | | Conclusion: | ~Q → ~P |
| | | P | Q | P → Q | ~Q → ~P |
| | | T | T |
| | | T | F |
| | | F | T |
| | | F | F |
| | 3 | Premise: | (P & Q) → R |
| | | | Q → R |
| | | Conclusion: | P → R |
| | P | Q | R | P & Q | (P & Q) → R | Q → R | P → R |
| | T | T | T |
| | T | T | F |
| | T | F | T |
| | T | F | F |
| | F | T | T |
| | F | T | F |
| | F | F | T |
| | F | F | F |
| | 4 | Translate the following argument and use truth tables to test for validity. |
| | | "If 9 is less than 10 and every odd number less than 10 is divisible by 3, then 9 is divisible by 3. THEREFORE If 9 is less than 10 it is less than 10 it is divisible by 3." |
| | | N = "9 is less than 10" |
| | | O = "Every odd number less than 10 is divisible by 3." |
| | | D = "9 is divisible by 3." |
| | | Premise: |
| | | Conclusion: |
| | N | O | D | | | |
| | 5. Translate the following argument and use truth tables to test for validity. |
| | | "If it rains tomorrow, I will have a tough commute. If it snows tomorrow, I will have a tough commute. It will either rain or snow tomorrow. THEREFORE I will have a tough commute." |
| | | R = | "It rains tomorrow." |
| | | S = | "It snows tomorrow." |
| | | T = | "I will have a tough commute." |
| | | Premise: |
| | | Conclusion | | ANSWER: |
| | R | S | T | | | |
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Truthstable.xlsx
