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 rench.co
  • Posts: 8
  • Joined: Mar 21, 2022
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#94746
Hi there,

The false not-block inferences page reads that "B is not inspected the day before C is inspected. C cannot be inspected second." Below that it mentions that there are 2 common errors that occur. The first error is that people assume B cannot be inspected in the first slot. The explanation proceeds by stating that "these students erroneously act as if the BC relationship is a regular (or positive) block: because C cannot be inspected second, if BC was a regular block, then B could not be inspected first."

I'm assuming that the whole "regular (positive)" language is referring to how the BC block is negative in this instance, unlike a normal positive block. I don't understand this explanation. If another one could be provided that would be wonderful as I'm still struggling to understand why it is incorrect to assume that B cannot be inspected first if C cannot be second....perhaps this is the answer to my own question as I am thinking about the question while I type... would B be allowed to go in 1 and then apply the BC not-block /C not law (aka no putting C in position 2) and then C would have to go somewhere in or between spots 3-6 given the information provided?

Perhaps a further explanation of the difference between a regular block and a not-block and the relationship/result it would create say if BC were a regular block vs BC being a not-block would be helpful?
 Robert Carroll
PowerScore Staff
  • PowerScore Staff
  • Posts: 1819
  • Joined: Dec 06, 2013
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#94798
rench.co,

There are really two rules here:

B cannot be the day before C.

C cannot be 2nd.

What does the first rule mean? That B cannot be in any day that is the day right before C. So, if C is 5, B cannot be 4. You'd say to yourself "If I can ever figure out where C goes, then I also know where B doesn't go."

What in the second rule is telling where C goes? Nothing - it's telling you where C doesn't go. So how could it be a problem for B to be 1st? The only information we have that would prevent B's being 1st involves a situation where C is 2nd...but C can't be 2nd at all. So the only situation that would prevent B from being 1st doesn't exist. Therefore, there is no objection to B's being 1st.

The first rule is really a conjunction of conditionals: "If C is 2nd, B can't be 1st; if C is 3rd, B can't be 2nd; if C is 4th, B can't be 3rd..." and so on. Note the first of those conditionals: "If C is 2nd, B can't be 1st." But what we have in the second rule is that C cannot be 2nd. Does that mean B can't be 1st? No conditional says that - one tells us what happens if C IS 2nd, and nothing about what happens when C is NOT 2nd.

Robert Carroll

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