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M5.A1
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ruth Table Exercises
Back-up
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UESTI
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O |
N |
SET
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| P |
remise:
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| P → Q |
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| Conclusion |
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| ~P → ~Q |
P Q P → Q ~P → ~Q
T T
T
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| F |
F T
F F
2
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| 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
Sheet2
Sheet3
HUM
4
40: Critical Thinking
·
· Assignment 2: Constructing Truth Tables
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.
Name the file M5_A2_LastName_FirstInitial.xls and submit it to the Discussion Area by the due date assigned.
By the due date assigned, review the exercises posted by your classmates and compare them to your own exercises.
Grading Criteria
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Maximum Points
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Quality of initial posting, including fulfillment of assignment instructions
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16
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Quality of responses to classmates
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12
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Frequency of responses to classmates
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4
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Reference to supporting readings and other materials
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4
Language and grammar
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4
Total:
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40
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