The Student Room Group
Reply 1
Master Gee
Anyone know any decent proofs for 1 = 2?

I'd especially like to see some without dividing by 0, or if anyone knows any using cyclical functions would be good - I'm sad and spend my time finding such proofs.

Put down any you know anyway!

Cheers guys!


suppose x = 1
then x ² - 1 = x - 1
factorising gets you (x + 1) (x - 1) = (x - 1)

Divide both side by (x-1)
you get (x+1) = 1

put back x = 1

and you get 2 = 1

=)
Master Gee
Anyone know any decent proofs for 1 = 2?

I'd especially like to see some without dividing by 0, or if anyone knows any using cyclical functions would be good - I'm sad and spend my time finding such proofs.

Put down any you know anyway!

Cheers guys!

1=a
let a=2
1=2

How can you have proof for something that's not true :stupido3:
Reply 3
Saiyan

Divide both side by (x-1)

bogus! :thumpdown: you *cant* divide by 0
Reply 4
endeavour
1=a
let a=2
1=2

How can you have proof for something that's not true :stupido3:


With cunning and deception!

Obviously you can't, but it's a laugh trying. Prooving that 1 = 2 kind of negates the universe because it means all numbers equal each other so everything dies.

Most of the proofs revolve around 0 and it's lack of definition - division by 0, powers of 0, 0 to a power etc. There's other ones too such as using set theory or cyclical function as I said above.
Reply 6
imagine a series x+x+x+x+x+x+x+x...+x
differentiated u get 1+1+1+1+...1
ok, now say you have x 1's
which is x
that means you would x x's
which is x^2
differentiated you get 2x
so the answer is x and 2x
regardless of the value of x
therefore 1=2
Reply 7


pretty damn good, although if you know how it works could you explain how it goes from the third to the fourth line.

the - 2(1/2 + 1/4 +...) going to -(1 + 1/2 + 1/3 + ...) is what i don't get

Cheers
Reply 8
Freeway
imagine a series x+x+x+x+x+x+x+x...+x
differentiated u get 1+1+1+1+...1
ok, now say you have x 1's
which is x
that means you would x x's
which is x^2
differentiated you get 2x
so the answer is x and 2x
regardless of the value of x
therefore 1=2


that one's a good un too, although it only works for positive integers and there's another reason why it's wrong too... I've forgotten it though
Reply 9
Master Gee
pretty damn good, although if you know how it works could you explain how it goes from the third to the fourth line.

the - 2(1/2 + 1/4 +...) going to -(1 + 1/2 + 1/3 + ...) is what i don't get

Cheers

2(1/2 + 1/4 +...) = 2/2 + 2/4 + 2/6 + 2/8 ... = 1 + 1/2 + 1/3 + 1/4 ...
Reply 10
endeavour
1=a
let a=2
1=2

How can you have proof for something that's not true :stupido3:

lol
Reply 11
If you wanted to know, the log 2 one is false because the series is not absolutely convergent, and the series one is because the function is not continuous.
Reply 12
JamesF
2(1/2 + 1/4 +...) = 2/2 + 2/4 + 2/6 + 2/8 ... = 1 + 1/2 + 1/3 + 1/4 ...


cough... that's embarassing

cheers
Reply 13
El Chueco
bogus! :thumpdown: you *cant* divide by 0

-____-" lol... thanks for pointing that out for me =)
Reply 14
Hmm i did have a 1=9 written down somewhere but i've lost it. Had loads of trig in it, but wasn't technically quite right! Does anyone know it??
Reply 15
http://www.magicmaths.tk

The one on the left is fairly rubbish, but the one on the right is a little better.
Reply 16
a = b
times both sides by b
ab = b2
minus a2
ab a2 = b2 a2
factorise
a(b-a) = (b+a)(b-a)
divide by (b-a)
a = b+a
replace b by a
a = a + a
a = 2a
divide by a
1 = 2

Latest