Mathematics
Grade9
Easy
Question
Determine whether a valid conclusion can be reached using the law of syllogism if the two given statements are true. If so, then tell what the conclusion is.
Statement 1: If the stock car racer drives too fast into the corner, then he will lose traction.
Statement 2: If the stock car racer loses traction, then he will drive too fast into the corner.
- Statement 3/Conclusion: If the stock car racer loses traction, then he will hit the wall.
- Statement 3/Conclusion: The stock car racer is not very good.
- Statement 3/Conclusion: The stock car racer is going to wreck.
- No conclusion possible
Hint:
In deductive reasoning we use facts, definitions and postulates to draw a conclusion. There are two laws under deductive reasoning they are Law of Detachment and Law of Syllogism. Here, we have to determine which of these laws in applied here to draw the conclusion.
The correct answer is: No conclusion possible
In the question the given statements are,
Statement 1: If the stock car racer drives too fast into the corner, then he will lose traction.
Statement 2: If the stock car racer loses traction, then he will drive too fast into the corner.
Here, we have to find the conclusion using Law of Syllogism.
From the above statements we can say that,
A hypothesis needs to be true in order to reach a conclusion. Here only the condition statements are mentioned, no true hypothesis.
So, there is no conclusion.
Therefore, conclusion is not possible here.
In Law of Syllogism if a statement p equals q and if q equals r, then p equals r whereas in Law of Detachment if a statement p equals q where p is true then q is also true.
