# Why Some People Think 1=2 Staff Image
Date:17 July 2022 Author:

The math makes sense. Can you prove them wrong?

We have some bad news: Everything you know about math is one big, fat lie.

It goes all the way back to the first two numbers you ever learned: 1 and 2. It turns out these seemingly separate digits are, in fact, exactly the same, and that 1 actually equals 2. And we can prove it… STAFF IMAGE

Let’s start with two values, A and B, and set them equal to each other. It doesn’t matter what that value actually is.

1 = 1
We begin with something simple.

A = A
This means the same thing.

A = B
As we’ve established, A = B, so we can substitute…

A * A = A * B
Multiply both sides by A.

A2 = AB
Let’s simplify.

A2 – B2 = AB – B2
Subtract a new term from both sides.

(A + B)(A – B) = B(A – B)
Just some simple factoring. (The difference of two squares and greatest common factor.)

A + B = B
Canceling common factors.

B + B = B
Remember: A = B, so we can substitute…

2B = B
…then we can group these up, and…

2 = 1
See? Told you.

So, have we convinced you that all of mathematics is a farce? Or can you find some sort of flaw in the logic?

#### ➡ The Hint

You won’t need to dredge up all the secrets of algebra to find the flaw in a logical argument. No theorems required!

Solution: Why Some People Think 1=2

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