Thursday, 4 July 2013

Color's Paradox

In what is perceived as a Lesson to learn for an act of Laziness, from the Rabbit and Tortoise race: After racing some distance, Rabbit takes a nap belittling the efforts, Tortoise can put. Meanwhile Tortoise overtakes Rabbit and wins the race.

(pic: Rabbit and Tortoise Race)

But here comes the mathematics, If tortoise has to cover, say x, distance to overtake rabbit, it has to cover the first half of the distance of x, i.e x/2. Which implies.. it has to cover half the distance of x/2 i.e x/4 .. so on and so forth. There is an infinite small distances tortoise has to cross to overtake rabbit and Tortoise can never win the race, which is the zeno's paradox.

 
(pic: to Infinity )

I once heard of a man, when asked, what was his favorite color and he replied White and Black.
The conversation follows:

MS: Mr. Prakash, what is your Favorite color?
Prakash: White and Black.
MS: Why do you like White?
Prakash: Because it is not Black.
MS: And why do you like Black?
Third Person: I know, since it is not White?
Prakash: Nope, Since it is Black.

I perceived a paradox here, similar to Zeno's.

So in the above conversation, Prakash only Likes Black, but he also likes White because it is not Black in color. His statement indirectly means he literally should like every color in the visible spectrum, since every color other than Black is not Black.

 (pic: Infinite colors)

But wait a minute, if he has to like only Black and colors which are not Black, then he has to like at least half the colors in the visible spectrum. In turn he has to like half the 'half of colors'.. similar to the logic of Zeno's Paradox, he should like infinite colors to just say "White(Not-Black) and Black" are his favorite colors.

But if he likes every color in the visible spectrum, then he cannot say merely White and Black are his favorite colors.
Hence, a Colors Paradox.

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To know the concept of Zeno's Paradox. Visit wiki link.
(this ain't some highly conceptual idea, just a random logical thought.)

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