Table Constructions | Homework Help Websites
November 9th, 2018
M5 Assignment 2: Constructing Truth Tables
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In this assignment, you will construct truth tables and use them to assess the validity of arguments.
Click here to download the assignment, complete the problems listed and save your responses in the Excel document.
Review the exercises posted by your classmates and compare them to your own exercises.
| Grading Criteria | Maximum Points |
| Quality of initial posting, including fulfillment of assignment instructions | 16 |
| Quality of responses to classmates | 12 |
| Frequency of responses to classmates | 4 |
| Reference to supporting readings and other materials | 4 |
| Language and grammar | 4 |
| Total: | 40 |
Sheet 1
| 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 |
