Give an example?

The 180 Bro_OVO

Hey Everyone,

Could anyone give me an example (whether on some test or just an example you could make up) of this valid form:

A --> C

B --> C

~A some ~B

I know it abstractly, but I struggled earlier to give someone a decent example and explanation earlier. So, I feel that means there's a hole in my knowledge.

Heart Shaped Box

I just made this up so it's not on the test lol

Sign up 7sage ---> 180
Study hard ---> 180

180 ---> 7sage and Study hard

English translation: There is at least 1 person (some) who didn't sign up for 7sage and didn't study hard, did not get a 180 on the LSAT. Or among the ones who didn't get a 180, there is at least 1 person didn't sign up for 7sage and didn't study hard.

It sounds kinda awkward cuz the some relationship within the negated contrapositive form of the conditional statement or maybe this is just a bad example, either way please bear with me

Sami

@"The 180 Bro_OVO" said:
Hey Everyone,

Could anyone give me an example (whether on some test or just an example you could make up) of this valid form:

A --> C

B --> C

~A some ~B

All non milk chocolates are awful. All non dark chocolates are awful.
There is at least 1 milk chocolate and dark chocolate that is not awful.

The 180 Bro_OVO

@Sami said:

@"The 180 Bro_OVO" said:
Hey Everyone,

Could anyone give me an example (whether on some test or just an example you could make up) of this valid form:

A --> C

B --> C

~A some ~B

All non milk chocolates are awful. All non dark chocolates are awful.
There is at least 1 milk chocolate and dark chocolate that is not awful.

@Sami

With your example.

How can that be the case?
Your first two sentences, I get. But with the "There is at least..."

It sounds like ~A and ~B --> /C

or something like that.

I would assume the last sentence would be exclusively about the milk chocolates and dark chocolates. and not incorporate the "C" ??

Jonathan Wang

Do you understand the form that goes A->B, A->C, therefore B some C?

Assuming so, take the contrapositive of each premise you used above and compare the structure, and you'll have your answer.

The 180 Bro_OVO

Yes.

All cats drink milk.
All cats jump high.

Something things that jump high also drink milk.

Sami

@"The 180 Bro_OVO" said:

@Sami said:

@"The 180 Bro_OVO" said:
Hey Everyone,

Could anyone give me an example (whether on some test or just an example you could make up) of this valid form:

A --> C

B --> C

~A some ~B

All non milk chocolates are awful. All non dark chocolates are awful.
There is at least 1 milk chocolate and dark chocolate that is not awful.

@Sami

With your example.

How can that be the case?
Your first two sentences, I get. But with the "There is at least..."

It sounds like ~A and ~B --> /C

or something like that.

I would assume the last sentence would be exclusively about the milk chocolates and dark chocolates. and not incorporate the "C" ??

You are correct. I just had difficulty saying there is an overlap of at least 1 between milk chocolate and dark chocolate because in real life that doesn't make sense