http://classics.mit.edu/Plato/lysis.html

It's a short read.

Thoughts on it?  I've read it four times over the years and agree with
the general consensus that it's one of Plato's weaker works.  As for
the "solution" to the dialogue, Socrates entered into a conversation
with Lysis, having not been friends in the beginning.  By the end of
the conversation, they were friends.  Therefore, whatever caused the
friendship occurred during the period between the beginning of the
conversation and the end of it.  Occam's razor would probably lead me
to argue that engaging in dialogue or working together in search of an
answer leads to friendship.  This would be consistent with a) Plato's
emphasis on Philosophers as those who love and seek wisdom, The Good,
etc., and b) the fact that this specific solution (two neutrals [a
commonality] with complementary [an opposite] problems who share
friendship) isn't refuted in his verbal exercise.

Not that I'd bet any money on that solution, though.  It's nearly
2,500 years later and no one has come up with anything definitive yet.

-- 
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