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.
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?"
Perhaps the 21st century will see yet another revival of this historic
equation. Till now we have got the proof below to support our equation.
It's got to be pointed out that 2.4 + 2.4 = 4.8
so rounding to the nearest integer, 2+2=5.
Dear punit,
ceiling(sqrt(22)) = 5
ceiling(x) = [x]+1, if x is not an integer
= x, if x is an integer
ceiling(x) is smallest integer greater than or equal to x
Also I think [sqrt(antilog 2)] /2 = 5
Can you use two 2s to get 9?