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Which of the following is an example of the law of syllogism?
A.
If a plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is a graminoid. Therefore, the plant is bamboo.
B.
If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.
C.
If a plant is bamboo, then it is a grass. A plant is a grass. Therefore, the plant is bamboo.
D.
If a plant is bamboo, then it is a grass. A plant is bamboo. Therefore, the plant is a grass.

1 Answer

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Answer:

B. If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.

Explanation:

A syllogism is a sequential implication:

If p then q, and If q then r ⇒ p therefore r.

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To choose the example, you need to find the elements of each implication and see if they match this pattern.

A: p ⇒ q; q ⇒ r; r ∴ p . . . . not a syllogism

B: p ⇒ q; q ⇒ r; p ∴ r . . . . the syllogism we're looking for

C: p ⇒ q; q ∴ p . . . . not a syllogism

D: p ⇒ q; p ∴ q . . . . not a syllogism

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