Here’s an interesting math situation, wherein I prove that 2=1:

1.) Suppose you have quantities A and B, and suppose they are equal. That is,

A = B

2.) Multiply both sides by A:

A^2 = AB

3.) Now subtract B^2 from both sides:

A^2-B^2 = AB-B^2

4.) Factor both sides:

(A+B)(A-B) = B(A-B)

5.) Divide both sides by the common factor (A-B):

A+B = B

6.) Now, remembering that A=B, we have

B+B=B, or 2B=B

7.) Divide both sides by B:

2=1

And now, children, you will understand how Congress creates the national budget.

/Lewis Carroll

I had to look at that for a little while to figure out where it goes wrong. I’m not convinced that congress uses even that level of rational logic to arrive at what they do.

You just caused a discontinuity in space-time by doing the impermissible. ðŸ˜‰

To preserve the joy of the next readers, I won’t spoil it by saying what.

Yup, this is an old one….

I won’t give it away exactly, but I will point out that if A=B then A-B=?. You do the math.

No fair using calculus…

;=)