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Wednesday, May 31, 2006

DEAD ENDS : Part I : Spark to a Fire

Hey Blogmates !

The last post reminds me of something I've been doing for years! Something, which I was avoiding to put up here. But now I've lost all patience so here I begin with a series of posts, which to me atleast are damn interesting !!! I hope you all enjoy it...

(1)

- 20 = - 20

or, 25 - 45 = 16 - 36

or, 52 - 5*9 = 42 - 4*9

or, 52 - 5*9 + 81/4 = 42 - 4*9 + 89/4

or, (5 - 9/2)2 = (4 - 9/2)2

or, (5 - 9/2) = (4 - 9/2)

or, 5 = 4

or, 2 = 1

QED

(2)

The very interesting infinitie series :

0 = 0 + 0 + 0 + 0 ...

For those who don't find it so interesting, follow me.

0 = ( 1 - 1 )
:. 0 = ( 1-1 ) + ( 1-1 ) + ( 1-1 ) ...

Now all of you would have paid attention in primary school when we were taught the associative law of addition.
Interestingly applying that here,

0 = ( 1-1 ) + ( 1-1 ) ...
or, 0 = 1 + (-1+1) + (-1+1) ...
or, o = 1 + 0 + 0 + 0 + 0 + ...
or, 0 = 1
or, 1 = 2

QED

(3)
- 1 = - 1
or, sqrt(-1) = sqrt(-1)
or, sqrt(-1/1) = sqrt(1/-1)
or, sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)
or, i/1 = 1/i
or, i2 = 1
or, -1 = 1
or, 2 = 0
or, 1 = 0
or, 2 =1
QED

___________________________________________________________
This is not the end. Its only a beginning ! Stay tuned for more of 1=2 syndromes ;-)
And you thought 1 + 1 = 2 huh ?

~ TwIsTeR ~

5 comments:

Gr81 said...

lol yeah I really liked these ques - but they can't easily be proved wrong - got 1st and 3rd... but twish didn't agree with the 2nd logic..
Really interesting!!

TwIsTeR said...

Haha Rash

I agree man, they'r just like candie bars ... you enjoy them n they end up. But don't worry, I have a multi-course feast ready for ya !!!

~ Twish ~

TwIsTeR said...

About the second one Rash, you had a good arguement, but this is an infinite series so there is no last term! The catch here is sumwhat not-so-obvious.

Im sure u'll find it in a while.

TS

bravura said...

Hey Twish,
Well in 1st u haven't taken the modulus so the result. In the second one you have performed mathematical operation on infinity.
c this
(1-1)+(1-1)+(1-1)+....... is as good as (1+1+1+1.....)-(1+1+1+....)
now this is infinity-infinity. And this operation is crap.
In the third problem also u have played with square root.
Swetabh

saurya_time_travel said...

there is some thing wrong with the interpretation of number system theories here ... i will study on the topic ... i will give u all satisfactory reasons ...
thanx for the ideas to dig into ...these will certainly kill some of my boredom ...

time