America is a wealthy nation. Therefore, every American must be wealthy.

Pauline’s argument for stricter drug laws is as worn out as she is. Her brain has practically calcified, she can hardly remember anything, and she confuses her letter carrier with the gardener. I’m afraid we’ll just have to pass over her argument.

Given the pair of statement: Q ≡ N and ( N • ~ Q ) v ( Q • ~ N ) These statements are:

Harry shouldn’t be thrown out of college for cheating. He’s been on academic probation for the past year, and this has caused terrible stress. The poor guy hasn’t been able to sleep at night, he can’t keep his food down, and he’s constantly sick with worry about his future. Surely you can find it in your hearts to give him a second chance.

Given the statement: ( A v ~ S ) • ( S • ~ A ) The statement is:

Sheri argues in favor of reducing the Defense Department budget. It appears what Sheri wants is no Defense Department at all. But without a Defense Department, we would have no army, navy, or air force, and any foreign nation could invade our country at will. Clearly we can’t allow this. Thus, Sheri’s argument is crazy.

For questions #74-#75, use your knowledge of logical operators and truth tables to answer the following questions:  (The triple bar will be symbolized as ‘=’.) Given that A, B, and C are true… and X, Y, and Z are false, what is the truth value of the following proposition? ~ { [ (B ≡ ~ X) ⊃ Y] v [~ X ⊃ (A ⊃ Y) ] } 

The Constitution guarantees freedom of speech for everyone. Therefore, children have a right to sass their parents.

If interest rates rise, then home sales will decline. Thus, if interest rates rise, then real estate prices will drop, because if home sales decline, the real estate prices will drop.

In his testimony to the grand jury, Steve Porter said that the CEO of the Syntex Corporation conspired with the CFO to defraud investors. Therefore, since Porter is in a position to know and has no reason to lie, we can conclude that these officers did indeed engage in such a conspiracy.