Untitled joke

How many mathematicians does it take to screw in a light bulb?

In earlier work, Wiener [1] has shown that one mathematician can change a light bulb.
If k mathematicians can change a light bulb, and if one more simply watches them do it, then k+1 mathematicians will have changed the light bulb. Therefore, by induction, for all n in the positive integers, n mathematicians can change a light bulb.

Dollars equal cents

Theorem: 1$ = 1c.Proof:And another that gives you a sense of money disappearing.1$ = 100c= (10c)^2= (0.1$)^2= 0.01$= 1cHere $ 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 this one. Actually I am crossposting this to sci.physics because I think that the latter makes a very nice introduction to the importance of keeping track of your dimensions.

One equal to one half

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 cancel, so that the sum is 1/2.We can also re-write the series as (1/1 – 2/3) + (2/3 – 3/5) + (3/5 – 4/7)+ (4/7 – 5/9) + …All terms after 1/1 cancel, so that the sum is 1.Thus 1/2 = 1.