So what is Logic? :-/

(A chat conversation with my best friend Saumeet, one of the few people who is rather patient with me being mathematically-challenged...or is it?)

From my Gtalk Window:



Saumeet: acha ek triangle imagine karo

me: Hmmm...

Saumeet: fir ek square imagine karo

me: Hmmm...

Saumeet: phir ek regular pentagon
and so on
sides badhaate hue jaao
number of sides
hexagon, septagon, octagon
and so on
100 sides
1000 sides
what is the shape becoming more and more like?

me: bada
the shape is becoming more and more bada

Saumeet: arre, can you see the shape converging to a circle?

me: yeah yeah....circle it is...

Saumeet: infinitely many
right?

me: If u insist :-S

Saumeet: just the way a triangle is three st lines one after the other.

me: Where are we going... :-/

Saumeet: Point being every curve is a sum total of st. lines
isliye saare curves ke slopes bhi hote hain
which point towards direction of the tangent

me: Hmmm...

Saumeet: to basically, through triangle inequality, we can prove that a st line from A to B is the shortest path from A to B, instead of, following a path of any set of st lines
And since, a curve is just a set of infinite number of infinetesimally small st lines, so, a st line from A to B is also the shortest path when compared to any curve from A to B
which means that a st line from A to B is the shortest path from A to B

me: Which is quite straightforward observation in real life?

Sent at 8:07 PM on Wednesday

Saumeet: Hmmm...

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http://www.youtube.com/watch?v=RP_sJtuwJkk&feature=related

NOT The Family Guy

Staring into nothing, gazing at the sky
Nothing sounds better, than the night's silent lullaby
Her hair wet by her own tears, the sister cried
In her brother today- Her hero died

She sits gloomily alone distressed by her sorrow
Misses her yesterdays- worries her tomorrow
Seeing her dream shatter, the old mother wailed
In her son today- Her Hero failed.

It took two decades to make him today
It took her only two years to take him away
The door slammed on his face, the helpless father sighed
In his decendant today- His Hero demised.

And he starts a new life with her, erasing every memory
of the family he once lived with- dead for him too- those three
But was it worth a trade-off? Was it worth the pain?
What you have lost today - was it REALLY worth the gain?

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Your prodigal son has left again to exorcise some demons.- John W. Hinckley, Jr.