- Tue Dec 08, 2015 8:37 pm
#21234
Hi Mustafa,
Thanks for your question. The short answer is that, no, answer choice E is an example of mistaken reversal and is thus incorrect. A more in depth explanation follows below. But be encouraged, this stimulus presents a real challenge to our ability to understand and correctly diagram conditional reasoning.
Let’s first break down the stimulus and see if we can understand each piece individually – maybe then we can connect them.
The first sentence, “Unless…inequities.” can be diagrammed using the unless formula: we first take the condition modified by the unless (in this case, our nation redistributes wealth, or RW) and make it the necessary condition (or, in graphical terms, put it on the right side of the arrow). Then we take the other condition in the sentence (our system will lead to intolerable economic inequities), negate it and make it the sufficient (or left-hand) term in our rule. What we end up with looks like this: ~IEI --> RW and reads, “If intolerable economic inequities do not occur, then we redistributed wealth.”
The next sentence presents another conditional rule, though it uses one of the terms we have already seen. Since this sentence is expressed as an “if…(then)” statement, it is simple to diagram and understand: the condition modified by the “if” is on the left and is the sufficient condition, while the other condition is the right-hand (necessary) condition. What we end up with looks like this: IEI --> VSR and reads, “if economic inequities are intolerable, violent social reform will occur.”
The third and final piece states that any condition which would set off this chain of events (to wit, by causing intolerable economic inequities, or IEI) must be avoided. Since we know from the contrapositive of our first piece that ~RW --> IEI, we must avoid ~RW, or, in simpler terms, society must redistribute wealth. This is why answer choice B is correct.
Answer choice E, however, mistakenly negates our first piece of evidence (the one that looked like this: ~IEI --> RW). First, let’s diagram E and see if we can make sense of it in the terms we have already been using. To begin, “conditions of economic justice” sounds like ~IEI, or like the absence of intolerable economic inequities; the other term is more obviously the same as we have seen: redistributing wealth, or RW. However, the sentence in E, when diagrammed, looks like this: RW --> ~IEI. This diagram reflects the answer choice because, according to this answer choice, since RW is all that is required to create ~IEI, then RW happening is sufficient to prove that ~IEI follows, hence RW --> ~IEI. However, when we compare this diagram with our diagram of the first sentence of the stimulus, we see that the former is a mistaken reversal of the latter and therefore is incorrect.
Thanks for your question, keep working hard!