User:Engleman/coolthing
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[edit] From Busted Logic
[edit] Introduction
This is a form of mathematics where all numbers are professed to have the same value. It is therefore useless, but is an interesting phenomenon.
[edit] Definition 1
Busted logic is a term created by Jonathan Richman to describe what happens in the following situation:
Let x = 0
Therefore
3x = 5x
As it is in an equation we can divide both sides by x, meaning:
3 = 5
When A and B are any real or imaginary numbers this equation can be expressed as:
Ax = Bx
A = B
This extension allows all mathematical theories to be disproved.
This does not work when you convert the equation into real numbers you get 0 = 0 whatever the values of A and B.
[edit] Definition 2
For any real number x:
x2 − x2 = x2 − x2
Factoring both sides in two different ways:
(x − x)(x + x) = x(x − x)
Dividing both sides by x − x:
x + x = x
Since this is valid for any value of x, we can plug in x = 1.
2 = 1
x-x=0 and you cannot divide something by zero!
I can divide your mom by zero!
[edit] Proving that x ≠ x
Since 1 = 1, and also 1 = 2, it can be stated that x can equal every single number, rational and irrational, that exists.
Therefore every value of x that is stated as specific can be disproven, so every single value of x can only be regarded as infinitely improbable to obtain. Therefore the probability of having two x values the same =
Therefore
and so is almost impossible to achieve.
[edit] Other uses
- Arguing that one has obtained the right solution to a problem when one clearly has not.
- Declaring that everything does and does not exist at the same time. (0 = 1)
