Modus Ponens
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Modus Ponens
Quiz
•
English
•
University
•
Practice Problem
•
Easy
+2
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Sarah Williams
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the name of the following rule of inference:
(p→q)˄p ⸫ q
Modus ponens
Modus tollens
Conditionalization
Resolution
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which Logical Pattern: If Michael buys a car, he can drive to work. Michael bought a car this week, so, therefore, he can drive to work.
x then y, x is true, therefore y (modus ponens)
x then y, not y, therefore not x (modus tollens)
if x then y, if y then z, therefore if x then z (hypothetical syllogism)
either x or y, not x, therefore y (disjunctive syllogism)
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is z in this argument (if x then y, if y then z, therefore if x then z):
If you get good grades, then it will be easier to get a good job. If you get a good job, you will be happier. Therefore if you get good grades, you will be happier.
get good grades
get a good job
be happier
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Consider the following premisses and conclusion. Decide in each case whether the conclusion follows from the given premisses by means of a valid rule of inference. c. If Bill signed the bill, then he caused a controversy. He signed the bill, so therefore he caused a controversy.
Valid by modus tollens. Premisses: p → q, ~q Conclusion: ~p
Valid by modus ponens. Premisses: p → q, p Conclusion: q
Invalid.
Tags
CCSS.L.4.1C
CCSS.L.9-10.1B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the rule of inference: If it rains, the ground will be wet. It is raining, so the ground is wet.
Modus ponens
Modus tollens
Hypothetical syllogism
Disjunctive syllogism
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which logical reasoning is used here: If Sarah studies, she will pass the exam. Sarah studied, therefore she passed the exam.
Modus ponens
Modus tollens
Affirming the consequent
Denying the antecedent
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the conclusion in this argument: If the sun sets, it will be dark. The sun has set.
It will be dark
The sun will rise
It will be sunny
The moon will appear
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
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