Posted in History & Literature

Zodiac: Capricorn

Capricorn is the Zodiac sign for those born between December 22 and January 19. The symbol for Capricorn is a goat with a fish tail instead of hind legs.

The model for Capricorn is the god of shepherds, Pan. Pan had the upper body of a man but a lower body of a goat and was famous for his sexual behaviour (he is often portrayed in art with a massive penis). He is also famous for his music, especially his hauntingly beautiful pan flute performance. But how did a god with the top half of a man and the bottom half of a goat come to represent a constellation where the top half is a goat and the bottom half is a fish? The back-story of Capricorn is related to that of Pisces; that is the story of how the monster Typhon gatecrashed a feast of the gods. While Aphrodite and Eros transformed into a pair of fish to escape Typhon, Pan turned himself into a goat to run away. However, when he reached the Nile River, he hurriedly tried to change into a fish but messed up the spell, with only his lower half turning into a fish. Just before he crossed the river, he saw that Typhon was attacking Zeus, so he let out a horrible screech to scare Typhon, allowing Zeus to escape. Zeus returned the favour by drawing Pan’s image at the time in the form of a constellation.

(Part of the Zodiac series: https://jineralknowledge.com/tag/zodiacs/?order=asc)

Posted in Science & Nature

Monty Hall Problem

Imagine that you are on a game show and you are given the choice of three doors, where you will win what is behind the chosen door. Behind one door is a car; behind the others are goats, which you do not want. The car and the goats were placed randomly behind the doors before the show.

The rules of the game show are as follows: 

  • After you have chosen a door, the door remains closed for the time being. 
  • The game show host, Monty Hall, who knows what is behind the doors, opens one of the two remaining doors and the door he opens must have a goat behind it. 
  • If both remaining doors have goats behind them, he chooses one at random. 
  • After Monty Hall opens a door with a goat, he will ask you to decide whether you want to stay with your first choice or to switch to the last remaining door. 

Imagine that you chose Door 1 and the host opens Door 3, which has a goat. He then asks you: “Do you want to switch to Door 2?”

Is it to your advantage to change your choice?

image

Most people believe that as an incorrect option (goat) is ruled out, their odds of winning the car go up from 1/3 to ½ even by staying on the same Door 1 and there is no benefit to switching. However, it is better to switch doors as this will double your odds of winning the car. To illustrate this point, the following three scenarios (with the car being behind Door 1, 2 or 3) can be imagined, using the above rules of the game:

image

In Scenario 1, you have already chosen the car (Door 1) so Monty Hall will randomly open Door 2 or 3. Switching will obviously lead you to losing the car. The chance of you losing after switching, therefore, is 1/6 + 1/6 = 1/3 (as either Door 2 or 3 could be opened)

In Scenario 2 and 3, because you chose the wrong door (goat) and Monty Hall will open the door with the goat behind it, switching will lead you to choosing the car (no other choices). As the odd of either scenario happening is 1/3 each, your odds of winning after a switch is 2/3 – double the odds of winning after not switching (1/3, the odd of your first guess being right).

Of course, this is only under the assumption that the rules of the game were followed and that Monty Hall will always open a door with a goat behind it. This problem and the answer suggested was extremely controversial as tens of thousands of readers refused to believe that switching could be a better choice. However, as the above illustration shows, the Monty Hall problem is a veridical paradox – a problem with a solution that appears ludicrous but is actually proven true by induction.

Posted in Science & Nature

Fainting Goat

There is a very interesting breed of goats called the Fainting Goat. These goats suffer a genetic condition called myotonia congenita, which produces fascinating yet hilarious situations. When startled by the sudden presence of another animal or even a loud noise, these goats all suddenly freeze and fall to one side. This phenomenon can occur even while running, which causes the goats to crash into the ground, lying on their backs with their legs straight up. This can even occur from the excitement of seeing food and starting to run towards it.

The reason for this peculiar phenomenon is that myotonia congenita damages systems that allow muscles to relax, causing it to become easily excited. Ergo, when a goat is startled, its muscles tense reflexively, causing it to contract suddenly while taking longer to relax. This results in the goat becoming paralysed and falling. Young goats tend to be helpless when this occurs, but more experienced goats prop their legs apart quickly or lean against something to prevent falling (they can even be seen hopping on their stiff legs). These “fainting spells” are painless.

Although this kind of trait is often removed by natural selection (for example, in nature these goats would freeze when they meet a predator, and then proceed to be eaten), humans have bred these goats specifically to save their trait. In old times, these goats were used as “sacrifices” so that they would get eaten first when wolves struck, but nowadays they are bred in certain farms for no particular use. 
Myotonia congenita also affects other animals such as cats, and there are many people in the world affected by this condition too.