The author uses the word "immediacy" (line 39) most likely in order to express

Greer on August 7, 2020

Missing Premise Flashcards with 3 Premises

Could you provide an example walk-through of a question with three premises? I don't have trouble with questions containing only two premises and a conclusion but am struggling to understand the questions with three premises (like what are found in the missing premise flashcards).

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shunhe on August 7, 2020

Hi @Greer,

Thanks for the question! So I just pulled a random missing premise flashcard to go through. We’re given the following information:

P: Y —> C
P: ? ?P: A —> ~B
C: B —> C

So now the question becomes: how do we get to B —> C? Well, in the premises, we want to have a B in the sufficient premise. That way, we can go

B —> Stuff

And we want to have a C in the necessary condition in the premises. That way, we can have

Stuff —> C

And then ideally we’d link that together to get

B —> Stuff —> C

Which would get us the conclusion we want, B —> C. Now take a look at the third premise. We have ~B in the necessary condition. Well, if we take the contrapositive of this, we’ll get B in the sufficient condition, which is what we want! So let’s take the contrapositive of premise 3, or

B —> ~A

And note that the first premise gives us C in the necessary condition, we have

B—> ~A
Y —> C

Now we want something that bridges these two to get us to B —> C. We can do that by connecting the ~A and Y! So from

B — > ~A and Y —> C (1)

we can just say

B —> ~A —> Y —> C (2)

Which would get us B —> C. And how can we get (2) from (1)? Well, if we assume

~A —> Y is true, and that’s the missing premise that we need. Note that the contrapositive also works, ~Y —> A.

Hope this helps! Feel free to ask any other questions that you might have.

ssquare on August 8, 2020

Thank you, Shunhe. This is very helpful!

Greer on August 9, 2020

thank you!!

shunhe on August 10, 2020

Glad you found it helpful!