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Originally posted by zazzafrazz
Stop using 'applied' mathematics, throw in the observer, and perhaps 2+2=5
Just saying, the observer makes the all the difference within infinity......
We have 3 entities: The clerk, the bellhop, and the guests.
The initial payment of $30 is accounted for as the clerk takes $25, the bellhop takes $2, and the guests get a $3 refund. It adds up.
After the refund has been applied, we only have to account for a payment of $27. Again, the clerk keeps $25 and the bellhop gets $2. This also adds up.
If someone says, "Okay, but it's still true that the bellhop's $2 plus the guest's $27 equals $29. How does that add up?" The answer is that the bellhop's $2 was part of the $27 payment, leaving the $25 kept by the clerk. There is no reason to add the $2 and $27, and no reason to expect a particular result.
This becomes clearer when we write the initial and net payments as simple equations. The first equation shows what happened to the initial payment of $30:
$30 (initial payment) = $25 (to clerk) + $2 (to bellhop) +$3 (refund)
The second equation shows the net payment after the refund is applied (subtracted from both sides):
$27 (net payment) = $25 (to clerk) + $2 (to bellhop)
Both equations make sense, with equal totals on either side of the equal sign. The correct way to get the bellhop's $2 and the guests $27 on the same side of the equal sign ("The bellhop has $2, and the guests paid $27, how does that add up?") is to subtract, not add, and when you do --
$27 (final payment) - $2 (to bellhop) = $25 (to clerk)
-- that makes sense too.
sbuıɥʇ ʇɐ ʞoo1 noʎ ʎɐʍ ǝɥʇ ǝbuɐɥɔ
Originally posted by oozyism
People always try to see if an impossible logic is possible, here I will demonstrate that 2 + 2 can actually = 5.
How is it possible you may ask? Well all you do is change the definition of '+'. If + was defined as +1, we have succeeded.
This way all numbers can live in harmony. Every number can equal to another number without destroying our logic.
If that makes sense then good, if it doesn't I apologize because I don't know how else to explain it.
Thanks for your time
oozy
"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 quantity, 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 Pythagoras 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.
How is it possible you may ask? Well all you do is change the definition of '+'. If + was defined as +1, we have succeeded.
Even this cautious rendition of his data was roundly condemned and earned Leonardo the nickname "Blockhead."