Question 17

Let $$\text{F}_1$$ and $$\text{F}_2$$ be sentences as stated below:
$$\text{F}_1$$ : If the president does not want to take the responsibility and the rioters are not tired of rioting, then riots will spread.
$$\text{F}_2$$ : If the president does not have the appropriate authority or if he does not want to take the responsibility, then neither order will be restored nor will the riots stop spreading unless the rioters become tired of rioting and the local authorities begin to take conciliatory actions.
Then which of the following statements is true ?

Solution

The information presented in $$\text{F}_1$$ is a subset of (and logically follows from) the information presented in $$\text{F}_2$$. We can therefore say that $$\text{F}_1$$ is a logical consequence of $$\text{F}_2$$, but not vice versa. Therefore, option B is the correct answer.

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