AlexY297
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HW Question LR Book

by AlexY297 Mon Nov 26, 2018 4:58 am

Hello, I was wondering about the Some and Most part of conditional logic on the Logical Reasoning Book p. 374.

1.Some cars are sedans and some cars are red.
A)Most cars are sedans are red.
B)Some things that are red are cars.
C)None of the above.

3.Most children play sports and some children play instruments.
A)Some children who play instruments play sports.
B)Some people who plays sports are children.
C)None of the above.

Now I thought regarding Some + Some and Most + Some statements, we can't infer anything about the overlap. There may or may not be one but according to the solution for #1 it is B and for #3 it is B too. Can someone explain this a little further please? Thank you, Alex
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Re: HW Question LR Book

by ohthatpatrick Thu Nov 29, 2018 1:07 am

You're correct Alex. You wouldn't be able to make any OVERLAP inferences (i.e. you wouldn't be able to prove that the other qualities have to overlap).

But neither of the correct answers are doing that. They're not combining two facts to derive an inference. They're only deriving an inference from one of the facts.

1.Some cars are sedans and some cars are red.
A)Most cars are sedans are red.
B)Some things that are red are cars.
C)None of the above.

3.Most children play sports and some children play instruments.
A)Some children who play instruments play sports.
B)Some people who plays sports are children.
C)None of the above.


In the first example, cars is the overlapping ingredient in each statement. Do we combine the other qualities? Do we say that "sedan and red" have to overlap?

No, we're just saying "if at least one car is red", then "at least one red thing is a car". Some statements are reversible.

In the second example, children are the overlapping ingredient, and there's no way to prove that "sports and instruments" have to overlap. But the correct answer is just saying "if more than 50% of children play sports", then "at least one person who plays sports is a child".

Make sense?
 
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Re: HW Question LR Book

by AlexY297 Thu Dec 06, 2018 3:33 am

Oh I see what you mean. In each example, it is asking you what is something shared by both or what is provable? Am I wording it properly?
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Re: HW Question LR Book

by ohthatpatrick Fri Dec 07, 2018 3:19 pm

The instructions just say "choose which answer must be true".

With some of the examples, it must be true that there is some overlap.
With other examples, it doesn't have to be true that there is an overlap. But they can still just offer you a different true-idea that's based off of only one claim.

For Q3, for example, if we know that "Most children play sports"
then it must be true that

B)Some people who plays sports are children. (at least one person who plays sports is a child)
 
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Re: HW Question LR Book

by AlexY297 Mon Dec 10, 2018 3:59 am

Hi I have a question about Negate This Drill:

-Silicon chips are a trait found in the central processor of all consumer computers.

Answer: Some consumer computers do not include silicon chips in their central processor.

I would have written: "Silicon chips are not a trait found in the central processor of all consumer computers."

So in these negation drills "all" becomes some or not all. I guess I just thought it would been a little different wording: "Silicon chips are not found in some consumer computers."

Am I looking at this too much ?

Thank you,
Alex