Jokes

Theorem: 1 = -1 Proof: 1 = sqrt(1) = sqrt(-1 * -1) = sqrt(-1) * sqrt(-1) = 1^ = -1 Also one can disprove the axiom that things equal to the same thing are equal to each other. 1 = sqrt(1) -1 = sqrt(1) Therefore 1 = -1 As an alternative method for solving: Theorem: [...]

Theorem: All numbers are equal. Proof: Choose arbitrary a and b, and let t = a + b. Then a + b = t (a + b)(a – b) = t(a – b) a^2 – b^2 = ta – tb a^2 – ta = b^2 – tb a^2 – ta + (t^2)/4 = b^2 – [...]

Theorem: 4 = 5 Proof: -20 = -20 16 – 36 = 25 – 45 4^2 – 9*4 = 5^2 – 9*5 4^2 – 9*4 + 81/4 = 5^2 – 9*5 + 81/4 (4 – 9/2)^2 = (5 – 9/2)^2 4 – 9/2 = 5 – 9/2 4 = 5

Theorem: 1 + 1 = 2 Proof: n(2n – 2) = n(2n – 2) n(2n – 2) – n(2n – 2) = 0 (n – n)(2n – 2) = 0 2n(n – n) – 2(n – n) = 0 2n – 2 = 0 2n = 2 n + n = 2 or setting n [...]

Theorem: n=n+1 Proof: (n+1)^2 = n^2 + 2*n + 1 Bring 2n+1 to the left: (n+1)^2 – (2n+1) = n^2 Substract n(2n+1) from both sides and factoring, we have: (n+1)^2 – (n+1)(2n+1) = n^2 – n(2n+1) Adding 1/4(2n+1)^2 to both sides yields: (n+1)^2 – (n+1)(2n+1) + 1/4(2n+1)^2 = n^2 – n(2n+1) + 1/4(2n+1)^2 This may [...]

Theorem: 1$ = 10 cent Proof: We know that $1 = 100 cents Divide both sides by 100 $ 1/100 = 100/100 cents => $ 1/100 = 1 cent Take square root both side => squr($1/100) = squr (1 cent) => $ 1/10 = 1 cent Multiply both side by 10 => $1 = 10 [...]

Theorem: 1$ = 1c. Proof: And another that gives you a sense of money disappearing. 1$ = 100c = (10c)^2 = (0.1$)^2 = 0.01$ = 1c Here $ means dollars and c means cents. This one is scary in that I have seen PhD’s in math who were unable to see what was wrong with [...]

Theorem: 3=4 Proof: Suppose: a + b = c This can also be written as: 4a – 3a + 4b – 3b = 4c – 3c After reorganizing: 4a + 4b – 4c = 3a + 3b – 3c Take the constants out of the brackets: 4 * (a+b-c) = 3 * (a+b-c) Remove the [...]

Theorem: 3=4 Proof: Suppose: a + b = c This can also be written as: 4a – 3a + 4b – 3b = 4c – 3c After reorganizing: 4a + 4b – 4c = 3a + 3b – 3c Take the constants out of the brackets: 4 * (a+b-c) = 3 * (a+b-c) Remove the [...]

Theorem : All numbers are equal to zero. Proof: Suppose that a=b. Then a = b a^2 = ab a^2 – b^2 = ab – b^2 (a + b)(a – b) = b(a – b) a + b = b a = 0 Furthermore if a + b = b, and a = b, then [...]