Wednesday, July 11, 2012

romance, love fight and discrete mathematics!!!!

This is an interesting idea which flashed in my mind on my to Dharwad from Hubli. Sitting on my bike for a pretty long time i suddenly got the thought of a common Hindi film sequence. With it a question and then an amazing romantic answer! So here it is:
The hero is a Pokiri or a Rowdy. But a good person by heart. He keeps teasing a girl(heroine) every now and then. This girl too develops a soft corner for the hero but is reluctant to express it. Now one fine day the hero asks the heroine for a date. She refuses(obviously). This guy being a rowdy gets annoyed and puts a condition. "If you dont come with me for dinner tonight, I will kiss you now in front of everyone!". The heroine is shocked. It is obviously better to have dinner with this maniac than get kissed in public. Moreover he is a rowdy. So he can do anything. So she agrees to go for dinner with him. Now comes the twist in the tail. This guy then kisses her in public. She is really annoyed now. She then accuses him of going back on his word. The hero now begs her to forgive him. The hero starts singing a song to pacify her etc etc etc.  Now the question here is was this begging really necessary? Did he really go back on his word ie did he break his promise?

Now enters the amazing branch of logic. Let 'p' be the statement "you come for dinner tonight" and 'q' be the statement "I will kiss you in front of everyone". So now his statement can be represented as :
 ~p -> q.  (~p here is the statement "you do not come for dinner tonight"). If he had really gone back on his word then this implication should have been false. But an implication a -> b is false only when 'a' is true and 'b' is false. I wont explain why this is the case here because that would need a separate post. Now since this implication is true for all remaining 3 cases ie TT, FF, FT and the hero has kissed this heroine making 'q' True his statement is True and not false. Thus he has not gone back on his word and does not need to pacify her at all!!!!!!!!!!

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