mathematical fallacy
nerds like to use this when they procrastinate.
the mathematical fallacy 2 = 1 is a cl-ssic one, guess which step is incorrect:
let x = y.
multiply by x: x² = xy.
subtract y²: x² − y² = xy − y².
factorize: (x − y)(x + y) = y(x − y).
divide by (x − y): x + y = y
because x = y, replace all x’s with y’s: y + y = y
simplify: 2y = y
divide by y: 2 = 1
did you see the incorrect step? spoiler alert: it’s the fifth one; you can’t divide by (x − y), as that equals 0 (because x and y are equal), and you can’t divide by zero.
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