Consider the argument shown below: If Russia attacked Ukraine, then Ukraine sought help from NATO. Ukraine did not seek help from NATO. Therefore, Russia did not attack Ukraine. Is this a valid argument? If yes, what rule of inference justifies the conclusion?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Consider the argument shown below:
If Russia attacked Ukraine, then Ukraine sought help from NATO.
Ukraine did not seek help from NATO.
Therefore, Russia did not attack Ukraine.
Is this a valid argument? If yes, what rule of inference justifies the conclusion?
O No. The argument is invalid.
O Yes. It is Modus Ponens.
Yes. It is Modus Tollens.
O Yes. It is Hypothetical Syllogism.
Question 8
Which of the following represents the statement
O If Russia attacked Ukraine and Ukraine sought help from NATO, then the world is in deep trouble.
If Russia attacked Ukraine or Ukraine sought help from NATO, then the world is in deep trouble.
O If Russia attacked Ukraine then Ukraine sought help from NATO and the world is in deep trouble.
O If Russia attacked Ukraine then Ukraine sought help from NATO or the world is in deep trouble.
Question 9
Consider the argument shown below.
Either Ukraine sought help from NATO or the world is in deep trouble.
Ukraine did not seek help from NATO.
Therefore, the world is in deep trouble.
Is this a valid argument? If yes, what rule of inference justifies the conclusion?
O No. The
is invalid.
Yes. It is Disjunctive Syllogism.
O Yes. It is Hypothetical Syllogism.
O Yes. It is Simplification.
(PVQ) → S?
Transcribed Image Text:Consider the argument shown below: If Russia attacked Ukraine, then Ukraine sought help from NATO. Ukraine did not seek help from NATO. Therefore, Russia did not attack Ukraine. Is this a valid argument? If yes, what rule of inference justifies the conclusion? O No. The argument is invalid. O Yes. It is Modus Ponens. Yes. It is Modus Tollens. O Yes. It is Hypothetical Syllogism. Question 8 Which of the following represents the statement O If Russia attacked Ukraine and Ukraine sought help from NATO, then the world is in deep trouble. If Russia attacked Ukraine or Ukraine sought help from NATO, then the world is in deep trouble. O If Russia attacked Ukraine then Ukraine sought help from NATO and the world is in deep trouble. O If Russia attacked Ukraine then Ukraine sought help from NATO or the world is in deep trouble. Question 9 Consider the argument shown below. Either Ukraine sought help from NATO or the world is in deep trouble. Ukraine did not seek help from NATO. Therefore, the world is in deep trouble. Is this a valid argument? If yes, what rule of inference justifies the conclusion? O No. The is invalid. Yes. It is Disjunctive Syllogism. O Yes. It is Hypothetical Syllogism. O Yes. It is Simplification. (PVQ) → S?
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