shanmonster: (Default)
9 - 24 = 25 - 40
9 - 24 + 16 = 25 - 40 + 16
(3 - 4)2 = (5 - 4)2
3 - 4 = 5 - 4
3 = 5

Right?

Date: 2009-02-06 02:54 pm (UTC)From: [identity profile] sidruid.livejournal.com
there are just so many bad mathematical inferences between those lines...
(-1)^2 = (1)^2
but
(3-4 = -1) != (5-4 = 1)

Date: 2009-02-06 03:53 pm (UTC)From: [identity profile] sorceror.livejournal.com
This is the same proof used to demonstrate that 1=2.

And with that, the entire universe collapses in a puff of false logic.

Date: 2009-02-06 04:02 pm (UTC)From: [identity profile] shanmonster.livejournal.com
Oh noes!

Next up, 1 + 1 = 3.

Date: 2009-02-06 04:42 pm (UTC)From: [identity profile] twopiearr.livejournal.com
see, the easy way to avoid all this angst is just to remember that there is no way to prove that 1=1 without using the very rules founded on the assumption that 1=1. Ergo, all of mathematics is little more than a complex system of faith.

Date: 2009-02-06 08:00 pm (UTC)From: [identity profile] sageincave.livejournal.com
There seems to be a bit of a leap between the 2nd and 3rd lines....

Date: 2009-02-07 10:09 am (UTC)From: [identity profile] the-s-guy.livejournal.com
Actually, they do match, both numerically and using the (x-y)^2 = x^2-2xy-y^2 algebraic equivalence.

The problem lies in the change between the third and fourth lines. Just because x^2 = y^2 does not necessarily mean that x=y, although in an integer or real numberspace it will mean that x=±y. In this case x=-y, but the fourth line takes it as x=y instead. Once you have that divergence, you can prove that anything equals anything else.

Date: 2009-02-07 10:10 am (UTC)From: [identity profile] the-s-guy.livejournal.com
Start by defining "1"...

Date: 2009-02-08 03:29 pm (UTC)From: (Anonymous)
Here is one that works


x = .9999999999 (repeating -close to but never reaching one)
10x = 9.9999999999
10x - x = 9.9999999999 - .999999999999
9x = 9
x = 1 (wait a moment - read first line)

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