Proof that 2=0

  1. a = b
  2. a – b – 2 = a – b – 2
  3. a(a – b – 2) = b(a – b – 2)
  4. aa – ab – 2a = ab – bb – 2b
  5. aa – ab = ab – bb – 2b + 2a
  6. aa – ab = ab + 2a – bb – 2b
  7. a(a – b) = a(b + 2) – b(b + 2)
  8. a(a – b) = (a – b)(b + 2)
  9. a = b + 2
  10. b = b + 2
  11. Therefore, 0 = 2

Proof that 1=0

  1. a = b + 1
  2. (a-b)a = (a-b)(b+1)
  3. aa – ab = ab + a – bb – b
  4. aa – ab -a = ab + a -a – bb – b
  5. a(a – b – 1) = b(a – b – 1)
  6. a = b
  7. b + 1 = b
  8. Therefore, 1 = 0