Most serious students are happy students, and most serious students go to graduate school. Furthermore, all students ...

joseorellana November 2, 2019

2nd conclusion

So when combining the two most statements would it like: HS-some-SS-most-OW and then we infer that HS-some-OW?

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Skylar November 3, 2019

@joseorellana Happy to help!

We are given two most statements:
(1) SS - most - HS
(2) SS - most - GS

We know that we can make a valid deduction when we have two most statements with the left side in common in order to say "right side - some - other right side." Therefore, we can deduct:

HS - some - GS

The passage also tells us "all students who go to graduate school are overworked." We can diagram this as: GS -> OW.

So now we have a some statement and an S -> N statement. We know that we can make a valid deduction between these two statements if they have the S condition in common, so that the arrow would be pointing away from the quantifier. We can think about this as: HS - some - GS -> OW. Therefore, we conclude:

HS - some - OW.
Some happy students are overworked (B).

Does this make sense? Please let us know if you have any additional questions!

joseorellana November 4, 2019

makes sense thank you for clarifying I overlooked the exception!