遇到一道LR题，始终绕不出圈子，求大神解答！

vix123UID: 3473428

由于我在TLS也发帖求助了，所以.. 我就直接用英文粘贴过来了~

Whoever is kind is loved by somebody or other and whoever loves anyone is happy. It follows that whoever is kind is happy.

The conclusion follows logically if which one of the following is assumed?

(A) Whoever loves someone loves everyone
(B) Whoever loves everyone loves someone
(C) Whoever is happy loves everyone
(D) Whoever loves no one is loved by no one
(E) Whoever loves everyone is kind

I started by choosing D, which is the right answer, but later found something I didn't quite understand, here's my thought when I first did this.

P1: kind => loved by someone
P2: loves anyone => happy
C: kind => happy

So I thought there might need a bridge to fill the gap between "loved by someone" and "loves anyone", which will consequently make the logic go like: kind => loved by someone => loves anyone => happy

The assumption then goes like: Whoever is loved by someone loves anyone.

I started to check all the answer choices. With this bearing in mind, I can easily choose D because it seems to be the contrapositive of the assumption.
But later I realized that the contrapositve of D might be: "Whoever is loved by someone lovessomeone", while the assumption we need is"Whoever is loved by someone loves anyone" ,which is less than adequate for the conclusion to logically follow. I just don't see why the contrapositve of the assumption is D....

I'm having some trouble here, so please help !!

xuanieUID: 2540871

loved by someone => loves anyone

whose contrapositive is

! loves anyone => ! loved by someone

loves no one => loved by no one (D)

vix123UID: 3473428

xuanie 发表于 2013-9-21 22:38
loved by someone => loves anyone

whose contrapositive is

恩 谢谢~ 正序下来的话，我觉得比较好理解，但是如果反过去推的话，就混乱了

就是 loves no one => loved by no one

~loved by no one => ~ loves no one

Loved by someone => loves someone

这样就和需要的 loved by someone => loves anyone 不一样了... 我的纠结点就是这个..