Must Be True Questions - - Question 22

Those who participate in local politics include people who are genuinely interested in public service and people who ...

CRAIG-HUDSON April 25, 2020

Question #22

Why didn't you reverse and NEGATE the first premise?

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shunhe April 27, 2020

Hi @CRAIG-HUDSON,

Thanks for the question! The reason that we don’t need to negate the first premise is because what we’re dealing with is a “some” clause, and those are reversed without negation, unlike conditional statements, which are logical necessities and must be both reversed and negated. For example, consider the following statement:

Some snacks, such as ice cream, are cold foods.

So what we’re told here in essence is

snacks <—some—> cold foods

And we can reverse this. Some snacks are cold foods, like ice cream. But that must also mean that some cold foods, like ice cream, are also snacks. Are all cold foods snacks? No. A large chef salad isn’t (really) a snack. Are no cold foods snacks? Well, obviously, some have to be, like ice cream, which is both a cold food and a snack. So we can also think

cold foods <—some—> snacks

And this is without negating and reversing because it’s not “if this, then that.”

Now, since we know that that is true, we can take a look at the second statement, which is essentially an “all” statement, which is a form of logical necessity. So we diagram that as

Participates in local politics —> influence on community’s values

And since we know that, from the first statement (because of the word “include”):

Participates in local politics <—some—> public service people & selfish opportunists

we can reverse this without negation to get

public service people & selfish opportunists <—some—> participates in local politics

and so since some selfish opportunists participate in local politics, those people necessarily have an influence on the community’s values, which is what (A) tells us, and so (A) is the right answer.

Hope this helps! Feel free to ask any other questions that you might have.