June 2007 - Sec 2 - LR - Q6

Video Transcript:

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Question 6: An undergraduate
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degree is necessary for appointment to the executive board. Further, no one with a
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felony conviction can be appointed to the board. Thus, Murray, an accountant with
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both a bachelor's and master's degree, cannot be accepted for the position of
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Executive Administrator since he has a felony conviction. Alright, so first step: argument
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or facts? Clearly we have an argument or a structural indicator of 'thus'. So, our
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conclusion is that Murray cannot be accepted for the position of Executive
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Administrator. And how do we know that? Well first it tells us two general
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principles. First, an undergraduate degree is necessary for appointment to the
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executive board. You notice 'necessary'. So, we have sufficient and necessary. And our first
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principle is that an undergraduate degree is necessary. So undergraduate
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degree...
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for appointment to the executive board. Contrapositive. Reverse and negate. You do not
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have an undergraduate degree and you cannot be appointed to the executive
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board. The next sentence tells us no one with a felony conviction can be
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appointed to the board. No A's are B's. Again we know that is also sufficient and
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necessary so if you have a felony conviction then you can cannot be appointed to the executive board.
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Contrapositive, If you are appointed to the executive board then you don't have a felony
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conviction.
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So, those are our principles. It then tells us that Murray has a felony conviction our
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premise.
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So our premise here is that Murray has a felony conviction and it takes that to conclude
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that he cannot be accepted for the
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position of executive administrator. Is that a valid argument? And you notice
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the fact that Murray has a felony conviction, our premise, that is sufficient
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in our second principle that no one with a felony conviction can be appointed to the
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board. Its sufficient for not being appointed to the executive board. But did they conclude that
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Murray can't be appointed to the executive board? No, the conclusion was
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that he can't be accepted the position of executive administrator. So you notice
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the jump in this argument. We can properly conclude that Murray cannot be appointed to the
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executive board based on the premise that he has a felony conviction
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because again felony conviction is insufficient for not being for not being appointed to the executive board.
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So the proper conclusion is that Murray can't be appointed to the executive
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board not that he can't be accepted for the position of executive administrator.
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So you notice the jump in this argument. So clearly this is a flawed argument. So now that we
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have a clear understanding of this argument let's proceed to the
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question stem. The argument's conclusion follows logically if which of the
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following is assumed? Follows logically if. This is a strengthen with sufficient
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premise question. And we know that our strategy on these questions is to find the answer
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choice that 100% guarantees our conclusion. Again our conclusion is that
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Murray can't be accepted for the position of Executive Administrator based on the
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premise that he has a felony conviction. But again we know that the proper
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conclusion to draw from the fact that he is a felony conviction is that he can't
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be appointed to the executive board as we've shown here.
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However now if we want to guarantee that he also can't be accepted for the
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position of Executive Administrator which is what a strengthen with
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sufficient premise question is asking us to do well then we have to tie this idea of not
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being able to be appointed to the executive board to not being able to be
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accepted to the position of Executive Administrator. So you notice how we would guarantee
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it is to say that if you can't be appointed to the executive board then you
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cannot be accepted for the position of Executive Administrator. That would
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guarantee this conclusion by closing the gap again because we know that Murray
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has a felony conviction. That is sufficient for not being appointed to
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the executive board. And now we make that sufficient for not being able to be
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accepted the position of Executive Administrator,
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that would guarantee our conclusion. So now let's go through the answer choices.
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(A) Anyone with a master's degree and without a felony conviction is eligible
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for appointment to the executive board. Okay great...
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It doesn't apply to our situation. We know Murray has a master's degree but he also
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has a felony conviction. So (A) can't help us. So (A) would be eliminated. Does not
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even strengthen this argument. (B) Only candidates eligible for appointment to
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the executive board can be accepted the position of Executive Administrator. We know
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that 'only' introduces a necessary condition. So only candidates eligible for appointment
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to the executive board will be our necessary condition. Our sufficient condition would
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be the other part of this statement, 'can be accepted for position of Executive Administrator'.
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So you notice
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were definitely on the right track. It's tying what we know executive board to the jump made in the
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conclusion of the Executive Administrator. So you notice the
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contrapositive would be if you can't be appointed to the executive board then you can't be accepted to the position of Executive
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Administrator is exactly what we said we needed to guarantee our conclusion.
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So (B) here will be the correct answer. Again you notice, why? Because we know
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that Murray has a felony conviction. Felony conviction is sufficient for
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not being appointed to the executive board and now the contraspositive of (B) tells us
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that if you're not appointed to the Executive Board you cannot be accepted to the
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position of Executive Administrator. Well we know that Murray has a felony conviction.
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Allows us to 100% conclude that he can't be accepted for the position of
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Executive Administrator. So we 100% guarantee the conclusion with (B). So (B) would be the correct
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answer. But again just make sure. (C) An undergraduate degree is not necessary
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for acceptance for the position of Executive Administrator. Okay, fine. Well
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Murray has a bachelor's degree and a master's degree. Doesn't help us at all.
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Doesn't strengthen this argument. So (C) is out.
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(D) If Murray did not have a felony conviction he would be accepted for the position of
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Executive Administrator. Well let's take a close look at (D) just to show something
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quickly. 'If' we know introduces sufficient. So if you did not have a felony conviction then you
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would be accepted to the position of Executive Administrator. But the thing is we know
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that Murray has a felony conviction. For me to take that and conclude that he cannot be
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accepted for the position of Executive Administrator is incorrect.
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Don't just negate. We know
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all carrots are vegetables but just because something isn't a carrot doesn't
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mean it's not a vegetable because there's other vegetables in this world.
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So (D) does not help us trap answer. And then just checking (E). The felony charge on
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which Murray was convicted is relevant to the duties of the position of Executive Administrator. Well
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that strengthens the argument. But the problem is were not just trying to
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strengthen it we're trying to 100% guarantee it. So (E) would be eliminated.