glitterlover09 glitterlover09

02-06-2015
Mathematics

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Which argument is valid?

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Which argument is valid?
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A. If a polygon is a square, it has four right angles.
If a polygon is a rectangle, then it has four right angles.
If a polygon is a rectangle, then it is a square.

B. If a number is divisible by 12, then it is divisible by 6.
If a number is divisible by 6, then it is divisible by 2.
If a number is divisible by 12, then it is divisible by 2

C. If it is a dog, then it barks.
If it has a tail, then it is an animal.
If it is a dog, then it barks and has a tail.

D. If an animal can swim, then it has fins.
If an animal is a fish, then it has fins.
If an animal can swim, then it is a fish.

Answer :

02-06-2015

A). is a syllogism with an undistributed middle. That makes it false.

B). is valid.

C). is quasi-logical nonsense.

D). is another defective syllogism. False.

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