by twitterguy Sat Jun 22, 2013 6:30 pm
First to answer the question directly above. Yes:
Alleviating economic injustice means creating conditions of economic justice. If we alleviate the in-justice, then we have justice.
And so, when we negate alleviating economic injustice (~AEI), what we are saying is NOT ALLEVIATE ECONOMIC INJUSTICE. In other words, we HAVE economic injustice.
It might be instructive to expand a little on the point about necessary and sufficient, and why answer choice E is wrong.
There is a distinct difference between sufficient and necessary. Visually, we know that sufficient is always on the left side of a rightward pointing error. In other words, the sufficient points to the necessary:
S --> N
What this relationship means is that the existence of the sufficient guarantees the existence of the necessary. In other words, if you have a sufficient condition, then you MUST have the necessary condition, as well.
P: A --> B
P: A
____
C: B
If A then B, the existence of A guarantees the existence of B.
Let's examine this logical relationship by way of a simple example. All practicing lawyers have graduated law school. If we want to think about this in IF, THEN terms, we can say: if he is a practicing lawyer, then he graduated law school (JD = law degree).
PL --> JD
Since this is an If, THEN statement we know that lawyers is sufficient and law school is necessary, but let's think about it more deeply. The premise means that if he is a practice lawyer, then he MUST have graduated law school and obtained his JD.
Indeed, it is not legal for someone without a degree to practice law. And if we think about this by way of the contrapositive the sufficient-necessary relationship is reinforced.
If he does not have a law degree (JD), then he is not a practicing lawyer.
~JD --> ~PL
That is the only thing we can say in terms of the sufficient-necessary relationship. This is true because we could envisage a situation where someone with a law degree does not practice law. Many law graduates enter into other fields of business. And that's the crux of the sufficient-necessary relationship - and the limits of that relationship.
While the existence sufficient guarantees the existence of the necessary, the existence of the necessary says NOTHING about the existence sufficient. Think about that for a second.
P: A ---> B
P: B
_________
C: ????
In a basic sense, since the sufficient-necessary statement's arrow points from A to B, we understand that we can't point the other direction (from B to A). But what does that really mean? Let's turn back to our lawyer-law school example.
The fact that you have a law degree (our necessary condition) says absolutely nothing about your current profession. We might infer that you're a lawyer, but you may also be a marketer, an entrepreneur, or an elected official. In reality, we cannot logically deduce anything from the existence of the necessary.
The law graduate may well be unemployed.
Looking back at answer choice E, it states that "all that is required to create conditions of economic justice is the redistribution of wealth". Symbolically, this simply says:
RW --> AEI (alleviate economic injustice)
redistribution of wealth is sufficient, and alleviating economic injustice is necessary.
But that's exactly the opposite of what we determined the original premise to state. Originally, we determined that alleviating economic injustice is sufficient, and redistribution of wealth is necessary. The reason E is wrong is because we could imagine a society with redistribution of wealth that still suffers from economic injustice.
In the USSR, wealth was routinely redistributed, but economic inequality persisted. The existence of redistributed wealth did not alleviate economic inequality to any extent.
Summary: We originally concluded that if we have alleviated economic injustice, then we have redistribution of wealth.
AEI --> RW
The only logically valid deduction we can make is that not redistribution of wealth leads to not alleviating economic inequality.
~RW --> ~AEI
And that is why E is wrong.