
Logical Implications and Conclusions
Interactive Video
•
Mathematics, Philosophy
•
9th - 12th Grade
•
Practice Problem
•
Hard
Aiden Montgomery
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial logical statement involving Sam and Chris?
If Sam is a man, then Chris is a woman.
If Sam is not a man, then Chris is a woman.
If Chris is a woman, then Sam is a man.
If Chris is not a woman, then Sam is a man.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the statement 'if not p then q and not q' imply?
The hypothesis is false and the conclusion is true.
The hypothesis is true and the conclusion is false.
Both the hypothesis and conclusion are true.
Both the hypothesis and conclusion are false.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Under what condition is an implication considered false?
When both the hypothesis and conclusion are false.
When the hypothesis is true and the conclusion is false.
When the hypothesis is false and the conclusion is true.
When both the hypothesis and conclusion are true.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What can be inferred if 'not p' is true?
Sam is a man.
Sam is a woman.
Chris is a man.
Chris is a woman.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the false conclusion 'q and not q' indicate about Chris?
Chris could be either a man or a woman.
Chris is neither a man nor a woman.
Chris is definitely a woman.
Chris is definitely a man.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which logical statement is used to represent 'Sam is not a man'?
p
not p
q
not q
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final conclusion about Sam and Chris?
Sam is a woman and Chris is a woman.
Sam is a man and Chris is a man.
Sam is a man and Chris is a woman.
Sam is a woman and Chris is a man.
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