Life - a wonderful thing!Sometimes she presents us with a surprise in the form of a paradox on which you can break the brain in an attempt to understand where lies the right answer.The word "paradox" refers to a situation that may exist in real life, but which nevertheless can not be logically explained.In addition, there is such a thing as "Aporia".This term refers to a fictional situation, but quite explicable by logical arguments.
Paradoxes are different: economic, legal, philosophical, chemical, physical, physiological, logic associated with the choice of statistical and mathematical.As you can see, they are not so little.Let's talk about how can sometimes puzzling paradoxes in mathematics.By the way, they are a good exercise for the brain training.He had been, like the body, needs to be trained, too.For example, try to solve the next comic mathematical paradox.
Once upon a time there lived a gentleman, which was overlooked in the attic of a pair of excellent, but the small size boots.He decided to get rid of them and instructed his servant to sell them at the market for 25 rubles.He went to carry out the order.At the bazaar, the servant saw a disabled person, who had no left leg and his right hand was wrapped in some rags.The yard was autumn, the servant felt sorry for the man, and when he asked him to sell it for half price right boot, he agreed, although he understood that the remainder is unlikely someone will be needed.So, he got 12.5 rubles.The servant was about to return to his master, when he turned up on the eye of the second one-legged invalid, without the right foot, which is also needed shoes.He sold the remainder of the left boot of 12.5 rubles and happy returned to the master.The owner, after hearing this story, began to reproach a servant, because he did not offer an accident.He gave him five rubles and ordered the two to find buyers and divide the money between them.The servant was also no fool, and decided that he works for is also something to be expected.So he took a 3 rubles, and every disabled person gave one ruble.Now, if you count the money together, it took a servant, and the ones that ultimately pay the handicapped, you get 3 + 12.5-1 + 12.5-1 = 26 rubles.And since the beginning boots cost 25 rubles.Hence the question: where did the extra ruble?The answer to this mathematical paradox will be given a little later, so as not to deprive you of the pleasure itself to understand how it happened.In the meantime, we note that in addition to the comic, there are also serious paradoxes, over which suffers more than one generation of scientists and which sometimes cause heated debate.
Take, for example, the paradox of time, which is still known as the twin paradox.In 1905, none other than Albert Einstein formulated the theory, which said the relativistic time dilation.The essence of it is that if at any point will be located two identical clocks showing the same time, then some of them to move along a closed curve at a constant rate until they again will be at its original location, as a result, theywill show a different time than the clock that had been still.Oddly enough, but many experiments, which were conducted with the macroscopic clock and elementary particles suggests that this is possible, and the theory of relativity works in this case.
Well, it's time to explain our mathematical paradox with boots.Excess ruble appeared because the sum of money paid to the disabled (23 rub.) Were added three servants of the ruble, which is not true.Money servants need not add, and subtract.Initially, boots cost 25 rubles, but after discounts were worth 20. So it all fits together.If you were able to resolve this on their own comic mathematical paradox, I congratulate you!And if not?Then try to solve other paradoxes in mathematics.In any case, it will increase your sense of perception.And who would refuse from this?
