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Refrigerate elephants 25 May 2011 | 08:51 pm
Analysis: 1. Differentiate it and put into the refrig. Then integrate it in the refrig. 2. Redefine the measure on the referigerator (or the elephant). 3. Apply the Banach-Tarsky theorem. Number t...
Two plus two is five 25 May 2011 | 08:51 pm
“First and above all he was a logician. At least thirty-five years of the half-century or so of his existence had been devoted exclusively to proving that two and two always equal four, except in unus...
Math is turning bad 25 May 2011 | 08:50 pm
“Psst, c’mere,” said the shifty-eyed man wearing a long black trenchcoat, as he beckoned me off the rainy street into a damp dark alley. I followed. “What are you selling?” I asked. “Geometrical alg...
One is negative one 25 May 2011 | 08:50 pm
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 = sq...
Four is equal to five 25 May 2011 | 08:49 pm
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 Random Posts
N equals N plus one 25 May 2011 | 08:48 pm
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) Addi...
Dollars equal cents 25 May 2011 | 08:46 pm
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...
Numbers equal zero 25 May 2011 | 08:44 pm
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 b...
One equal to one half 25 May 2011 | 08:42 pm
Theorem: 1 = 1/2: Proof: We can re-write the infinite series 1/(1*3) + 1/(3*5) + 1/(5*7) + 1/(7*9) +… as 1/2((1/1 – 1/3) + (1/3 – 1/5) + (1/5 – 1/7) + (1/7 – 1/9) + … ). All terms after 1/1 cance...
Log negative one zero 25 May 2011 | 08:42 pm
Theorem: log(-1) = 0 Proof: a. log[(-1)^2] = 2 * log(-1) On the other hand: b. log[(-1)^2] = log(1) = 0 Combining a) and b) gives: 2* log(-1) = 0 Divide both sides by 2: log(-1) = 0 Random Po...
