A very large mathematical convention was held in Las Vegas. The conventioneers filled two hotels, each with an infinite number of rooms. The hotels were across the street from each other and were owned by brothers.

One evening, while everyone was out at a bar-b-que, one of the hotels burned to the ground. The brothers got together and worked out a plan. In the remaining hotel, they moved all guests to twice their room number — room 101 moved to 202, room 1234 moved to room 2468, etc.

Then all the odd number rooms were empty, and there were an infinite number of odd rooms. So the guests from the other hotel moved into them.

A new government 10 year survey cost $3,000,000,000 revealed that 3/4 of the people in America make up 75% of the population.

According to recent surveys, 51% of the people are in the majority.

Did you know that 87.166253% of all statistics claim a precision of results that is not justified by the method employed?

80% of all statistics quoted to prove a point are made up on the spot.

According to a recent survey, 33 of the people say they participate in surveys.

Q: What do you call a statistician on drugs?
A: A high flyer.

Q: How many statisticians does it take to change a lightbulb?
A: 1-3, alpha = .05

There is no truth to the allegation that statisticians are mean. They are just your standard normal deviates.

Q: Did you hear about the statistician who invented a device to measure the weight of trees?
A: It’s referred to as the log scale.

Q: Did you hear about the statistician who took the Dale Carnegie course?
A: He improved his confidence from .95 to .99.

Q: Why don’t statisticians like to model new clothes?
A: Lack of fit.

Q: Did you hear about the statistician who was thrown in jail?
A: He now has zero degrees of freedom.

Statisticians must stay away from children’s toys because they regress so easily.

The only time a pie chart is appropriate is at a baker’s convention.

Never show a bar chart at an AA meeting.

Old statisticians never die, they just undergo a transformation.

Q: How do you tell one bathroom full of statisticians from another?
A: Check the p-value.

Q: Did you hear about the statistician who made a career change and became an surgeon specializing in ob/gyn?
A: His specialty was histerectograms.

The most important statistic for car manufacturers is autocorrelation.

Some statisticians don’t drink because they are t-test totalers. Others drink the hard stuff as evidenced by the proliferation of box-and-whiskey plots.

Underwater ship builders are concerned with sub-optimization.

The Lipton Company is big on statistics–especially t-tests.

An engineer, a physicist, and a mathematician are trying to set up a fenced-in area for some sheep, but they have a limited amount of building material. The engineer gets up first and makes a square fence with the material, reasoning that it’s a pretty good working solution. “No no,” says the physicist, “there’s a better way.” He takes the fence and makes a circular pen, showing how it encompasses the maximum possible space with the given material.

Then the mathematician speaks up: “No, no, there’s an even better way.” To the others’ amusement he proceeds to construct a little tiny fence around himself, then declares:

“I define myself to be on the outside.”

1. They speak only the Greek language.

2. They usually have long threatening names such as Bonferonni, Tchebycheff, Schatzoff, Hotelling, and Godambe. Where are the statisticians with names such as Smith, Brown, or Johnson?

3. They are fond of all snakes and typically own as a pet a large South American snake called an ANOCOVA.

4. For perverse reasons, rather than view a matrix right side up they prefer to invert it.

5. Rather than moonlighting by holding Amway parties they earn a few extra bucks by holding pocket-protector parties.

6. They are frequently seen in their back yards on clear nights gazing through powerful amateur telescopes looking for distant star constellations called ANOVA’s.

7. They are 99% confident that sleep can not be induced in an introductory statistics class by lecturing on z-scores.

8. Their idea of a scenic and exotic trip is traveling three standard deviations above the mean in a normal distribution.

9. They manifest many psychological disorders because as young statisticians many of their statistical hypotheses were rejected.

10. They express a deap-seated fear that society will someday construct tests that will enable everyone to make the same score. Without variation or individual differences the field of statistics has no real function and a statistician becomes a penniless ward of the state.

“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 unusual cases, where they equal three or five, as the case may be.” — Jacques Futrelle, “The Problem of Cell 13″

Most mathematicians are familiar with — or have at least seen references in the literature to — the equation 2 + 2 = 4. However, the less well known equation 2 + 2 = 5 also has a rich, complex history behind it. Like any other complex quantitiy, this history has a real part and an imaginary part; we shall deal exclusively with the latter here.

Many cultures, in their early mathematical development, discovered the equation 2 + 2 = 5. For example, consider the Bolb tribe, descended from the Incas of South America. The Bolbs counted by tying knots in ropes. They quickly realized that when a 2-knot rope is put together with another 2-knot rope, a 5-knot rope results.

Recent findings indicate that the Pythagorean Brotherhood discovered a proof that 2 + 2 = 5, but the proof never got written up. Contrary to what one might expect, the proof’s nonappearance was not caused by a cover-up such as the Pythagoreans attempted with the irrationality of the square root of two. Rather, they simply could not pay for the necessary scribe service. They had lost their grant money due to the protests of an oxen-rights activist who objected to the Brotherhood’s method of celebrating the discovery of theorems. Thus it was that only the equation 2 + 2 = 4 was used in Euclid’s “Elements,” and nothing more was heard of 2 + 2 = 5 for several centuries.

Around A.D. 1200 Leonardo of Pisa (Fibonacci) discovered that a few weeks after putting 2 male rabbits plus 2 female rabbits in the same cage, he ended up with considerably more than 4 rabbits. Fearing that too strong a challenge to the value 4 given in Euclid would meet with opposition, Leonardo conservatively stated, “2 + 2 is more like 5 than 4.” Even this cautious rendition of his data was roundly condemned and earned Leonardo the nickname “Blockhead.” By the way, his practice of underestimating the number of rabbits persisted; his celebrated model of rabbit populations had each birth consisting of only two babies, a gross underestimate if ever there was one.

Some 400 years later, the thread was picked up once more, this time by the French mathematicians. Descartes announced, “I think 2 + 2 = 5; therefore it does.” However, others objected that his argument was somewhat less than totally rigorous. Apparently, Fermat had a more rigorous proof which was to appear as part of a book, but it and other material were cut by the editor so that the book could be printed with wider margins.

Between the fact that no definitive proof of 2 + 2 = 5 was available and the excitement of the development of calculus, by 1700 mathematicians had again lost interest in the equation. In fact, the only known 18th-century reference to 2 + 2 = 5 is due to the philosopher Bishop Berkeley who, upon discovering it in an old manuscript, wryly commented, “Well, now I know where all the departed quantities went to — the right-hand side of this equation.” That witticism so impressed California intellectuals that they named a university town after him.

But in the early to middle 1800′s, 2 + 2 began to take on great significance. Riemann developed an arithmetic in which 2 + 2 = 5, paralleling the Euclidean 2 + 2 = 4 arithmetic. Moreover, during this period Gauss produced an arithmetic in which 2 + 2 = 3. Naturally, there ensued decades of great confusion as to the actual value of 2 + 2. Because of changing opinions on this topic, Kempe’s proof in 1880 of the 4-color theorem was deemed 11 years later to yield, instead, the 5-color theorem. Dedekind entered the debate with an article entitled “Was ist und was soll 2 + 2?”

Frege thought he had settled the question while preparing a condensed version of his “Begriffsschrift.” This condensation, entitled “Die Kleine Begriffsschrift (The Short Schrift),” contained what he considered to be a definitive proof of 2 + 2 = 5. But then Frege received a letter from Bertrand Russell, reminding him that in “Grundbeefen der Mathematik” Frege had proved that 2 + 2 = 4. This contradiction so discouraged Frege that he abandoned mathematics altogether and went into university administration.

Faced with this profound and bewildering foundational question of the value of 2 + 2, mathematicians followed the reasonable course of action: they just ignored the whole thing. And so everyone reverted to 2 + 2 = 4 with nothing being done with its rival equation during the 20th century. There had been rumors that Bourbaki was planning to devote a volume to 2 + 2 = 5 (the first forty pages taken up by the symbolic expression for the number five), but those rumor remained unconfirmed. Recently, though, there have been reported computer-assisted proofs that 2 + 2 = 5, typically involving computers belonging to utility companies. Perhaps the 21st century will see yet another revival of this historic equation.

The above was written by Houston Euler.