P: E → FP: ?C: E → G

thomas19 February 5, 2020

G=> F vs F=> G

I guess i'm a little confused on how to determine which variable would be the sufficient in questions like these?

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Ravi February 5, 2020

The variable that would be on the sufficient side is the one that helps to make the chain complete.

We have

P: E - >F

P: ?

P: E - >G

We have E on the sufficient side in the first premise, and we're trying to push out G. How can we do this? What if we add F - >G as the missing premise?

E - >F

F - >G

If we add F - >G, we can make a larger chain:

E - >F - >G

This larger chain allows us to conclude that E - >G, so F - >G is the missing premise we're looking for.

Does this help? Let us know if you have any other questions!