I was thinking about what Prof Chan was saying during one of the lectures for foundation mathematics. We were on the topic of Relations, and it bearing the properties of Reflexivity, Symmetry and Transitivity. Then he randomly asked us this question, “So, what about friendship? Does it bear these properties?”
If friendship is reflexive, then am I a friend of myself?
If friendship is symmetric, does me treating you as a friend means the same you treating me as your friend? In other words, do you treat me as your friend like how I treat you as mine?
And if friendship is transitive, if i am friends with you, and you are friends with someone else, then i am friends with that someone else. Well, maybe Friendster will make you believe so.
I am thinking more about the second property, of friendship being symmetric. Do you treat me the same like I treat you? Or am I simply just a tool to you, say to get good grades for your lab, or to get to know someone you like better, or to tap my popularity so that you can boost yours?
Again, sorry for this random entry. It’s not target at anyone whatsoever.
I just feel lousy. T.T
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