Posted in History & Literature

Demand And Supply

How does the economy function? On the surface, economics seems extremely complex and intricate, changing dynamically due to what appear to be insignificant factors. For example, one can predict a recession from the increasing attractiveness of waitresses. But economics relies largely on two simple laws: the law of demand and the law of supply.

The law of demand states that as the price of a good goes up, people demand less quantities of that good. This makes logical sense as (rational) consumers want to spend the least amount of money possible for something. When plotted on a graph with price (P) as the y-axis and quantity (Q) as the x-asis, we can show that demand (D) is a downward-sloping curve.

The law of supply states that as the price of a good goes up, people supply more quantities of that good. This makes logical sense as (rational) producers want to sell something for as much money as they can. When plotted on a graph with price (P) as the y-axis and quantity (Q) as the x-asis, we can show that demand (S) is a upward-sloping curve.

When we superimpose these two laws on the same graph, we get a nice X-shape as the two lines cross over. The point where they cross is called the market equilibrium and this is where the consumers demand exactly the right amount of goods that the producers are willing to supply at a given price. If a good is being sold at a price higher than the equilibrium price, consumers demand less of the good and producers are left with an excess. If the price is lower, then there is a shortage as demand exceeds supply. Over time, the price is pushed towards the market equilibrium. Thus, thanks to the laws of supply and demand, the market automatically adjusts to the price to accurately reflect the value of the good.

Adam Smith, the father of economics, called this the invisible hand – a force driven by the individual ambitions of consumers and producers to balance the market. This force is not found in centrally planned economies of communist states, as the price and quantity supplied is fixed by the government. A pure free market is only driven by the invisible hand. Most modern countries’ economies are mixed economies, usually in the form of free markets with some government intervention.

Although economics appears complicated, it essentially boils down to the laws of supply and demand. By understanding the principles of demand and supply, one can begin to understand more complicated economic theories such as aggregate demand and supply, elasticity, foreign currency exchange and trade. Real economic situations such as oil cartels, trade embargos and taxation can be broken down and modelled using PQ-diagrams (depicting the demand and supply curves).

The laws of supply and demand are two crucial laws of economics that everyone should have some understanding of, as it can be extremely useful in everyday life. Not only do they apply in obvious situations such as running a store or a business, or understanding how the economy works, but it can be applied to negotiating too. One of the fundamental principles of negotiating is finding the balance between what one person wants (demand) and what the other person is willing to do (supply). It is amazing how useful knowing that simply being slightly flexible is in negotiations.

Posted in Science & Nature

Virgin Birth

Although the concept of virgin birth (i.e. conception without intercourse) is common in many religions, there is no conclusive evidence of actual human virgin birth in recorded history. Except in one medical article written in 1874 by a Dr Capers.

In this article, Dr Capers describes a case study of a miraculous conception during the Battle of Raymond during the US Civil War. A soldier was shot in the testicles and the musket ball carried the non-musket ball (read: testicle) into the uterus of a girl working in a nearby field. The doctor attended to the girl who was shot and treated the wound in her abdomen. The bullet was not found.

Over the following nine months, the doctor realised the girl was pregnant, although she claimed to be a virgin. After nine months, a healthy boy was born. Stranger yet, the doctor realised the boy’s scrotum was unusually swollen and upon examination, found that he was carrying the musket ball that impregnated the girl in the first place. He thus concluded that the testicle that was carried by the musket ball was lodged inside her uterus and sperm leaked out. The soldier was eventually found and was told about this bizarre story and the two were married.

This case study has become a famous story told by doctors around the world. Unfortunately, it is completely false and the doctor who wrote the article admitted to faking it to amuse himself. Ergo, there are still no recorded cases of a virgin birth in humans.

The closest to a virgin birth that was recorded is a case study of a young woman who was performing oral sex on a man. She was found by her boyfriend during the act and the boyfriend stabbed her and her lover with a knife. The knife injured her oesophagus, causing the sperm in it to track down the abdomen and down to her reproductive organs. By a stroke of luck, an egg was misplaced during ovulation, causing it to drift into the abdomen instead of the fallopian tube (ectopic pregnancy), and met with the sperm. The egg was then fertilised and the girl presented to the hospital three months later with excruciating abdominal pain. The ectopic fetus was removed.

Posted in Philosophy

Black Cat

Philosophy is like being in a dark room and looking for a black cat.

Metaphysics is like being in a dark room and looking for a black cat that is not there.

Theology is like being in a dark room and looking for a black cat that is not there and shouting “I found it!”

Science is like being in a dark room and looking for a black cat using a flashlight.

Posted in History & Literature

Surgeon

In many cultures (especially in Asian countries), the public conception of doctors has changed where surgeons are considered the “real doctors”. This is particularly evident in Asian dramas where main characters tend to be surgeons, saving the patient’s life with dramatic operations and charisma. The idea that surgeons are superior to physicians may go as far as some adults advising medical students to become surgeons for a higher status (again, more evident in Asia). However, as the root of surgery is completely different from that of medicine, technically it is a misnomer to call a surgeon a “doctor”.

This is reflected in the relatively unknown fact that a fully-trained surgeon is referred to as “mister”, not “doctor”. To understand why surgeons call themselves Mr., we must look into the origin of the surgical discipline.

In ancient times, surgery was limited to treating flesh wounds and setting bones (with some exceptions such as trepanation), such as those sustained during battles. Other than the odd few cases of specialised surgeons such as Galen of ancient Greece and Hua Tuo of ancient China, it is hard to find records of doctors employing surgery as a form of treatment. This was mainly due to two reasons: that surgery was considered a “dirty, unrefined” form of treatment, and that surgery was too risky.

For a long time, especially in the Western world, surgery was considered to be of a lower status compared to medicine. It was considered more of a craft tradition – something which physicians believed was beneath them. Because of this, surgeries were mainly performed by barbers in medieval Europe. One can still find evidence of a barber’s alternative historical role on the barber’s pole, which has white, red and blue stripes. The white stripe symbolises bandages, the red symbolises arterial blood and the blue symbolises venous blood. This originates from the practice of bloodletting, where white bandages wrapped around a pole would get dyed red from the blood, giving the appearance of the barber’s pole. The profession of “surgeon” did not formally appear until around the 18th century when a Guild of Surgeons was formed in England. However, physicians refused to accept surgeons as equals for a further century. When they did come to accept that surgery was a legitimate form of medical treatment, the surgeons decided that they did not want to be assimilated as doctors, so they chose to keep their title of “mister” to distinguish themselves from physicians.

The reason why surgery was considered an unrefined art in the past mainly focuses on three issues: bleeding, pain and infections. Before modern surgical developments, uncontrolled bleeding was a real issue in surgery. This not only made surgeries extremely messy, but it was also dangerous for the patient as patients would often die from shock (dangerously low blood pressure). On top of this, anaesthetics was only introduced in the late 19th century, meaning before that, patients had to suffer the pain of their flesh being cut and stitched with no relief. Of course, this meant that surgeries were almost always a brutal scene, with the agonising screams of the patients filling the room, while they sprayed blood everywhere. Lastly, even if the patient somehow survived the surgery without bleeding out or dying from the stress and pain, there still remained a high risk of post-operative infection. Thus, surgeries were most often unsuccessful and were considered a barbaric form of treatment with no promise.

Thanks to medical advancements, surgery has become an important aspect of medicine, where one cannot live without the other. However, the tension still remains between physicians and surgeons, with each profession jokingly mocking the other whenever a chance arises.

Posted in Psychology & Medicine

Sweet Tooth

It is interesting to see how people tend to use taste-related metaphors to describe other people. If a person is hostile or spiteful, we describe them as “bitter”. If a person is sullen and gloomy, we say they are “sour”. Perhaps the most extensively used taste is “sweetness”. People have a tendency of calling their loved ones sweet-related names, such as “honey”, “sweetie”, “sugar” or “sweetheart”. This is directly reflected in the tradition of giving chocolate to a loved one on Valentine’s Day. Quite obviously, this is because we find sweetness the most palatable taste and something that is nice. On a related note, could there be a relationship between sweetness and personalities?

A group of psychologists decided to study whether people who like sweet foods, or “sweet tooth”s, have a certain personality trait or not. They did a survey where participants were asked what foods they liked most out of a list of 50 foods covering five tastes (sweet, sour, bitter, salty, spicy). They also answered questions that gave an indication of their agreeableness (one of the five components of OCEAN personality traits). The psychologists then analysed whether there was an association between sweet tooths and agreeableness. Interestingly, a direct correlation was found between a liking of sweets and higher levels of agreeableness. This suggested that people who like sweet things tend to be more friendly, cooperative and compassionate.

But is the cause-and-effect relationship so simple? Could it be that sweet things cause people to be nicer? In a separate experiment, participants were randomly given a sweet food (chocolate), a not-sweet food (cracker) or no food. They were then asked to volunteer their time to help someone. It was found that those who were given something sweet were more willing to help another person compared to the other two groups.

This makes logical sense as eating sweets such as chocolate causes your brain to release a flood of hormones such as endorphin and serotonin from the absolute pleasure of the experience. These hormones make us feel happy, blissful and in love, which in turn make us more agreeable and willing to cooperate.

Although sweetness has numerous negative effects on the body such as weight gain and diabetes, there is no doubt that it is greatly beneficial for your mental health. If there is a bitter person around you, give them a good dose of chocolate to help them develop a sweeter personality. Or perhaps all they need is a sweet romance.

(Image source: http://fc04.deviantart.net/fs71/f/2010/138/c/e/Day_4___Sweets_by_Valandill.jpg)

Posted in Science & Nature

Honeybee Dance

How do honeybees share the location of a food source, such as a flower, to other bees of their colony? An Austrian biologist named Karl Von Frisch devised an experiment to learn how the honeybees communicated with each other. He set up two different food sources and tagged every bee that came to pot A green and bees that came to pot B red. He then studied the behaviour of these bees back at the hive. What he discovered was fascinating.

For millennia, beekeepers have noticed that some honeybees have a tendency of moving in a peculiar yet methodical way once they returned to their hive after foraging for flowers. The bees would move in a straight line while waggling their bottom (moving side-to-side), then walk in a semicircle back to where they started. They would then waggle in the same direction, then move in a semicircle on the opposite side, completing a figure-eight path. This is called a waggle dance.

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Frisch noticed that bees with green spots and the bees with red spots both did the waggle dance once they returned to the hive, but in different directions. All bees with green spots danced so that the straight line pointed a certain direction, while the bees with red spots danced the same dance except pointing another direction. Amazingly, the angle between these two directions was exactly the same as the angle separating pot A and B (with the hive as a point of origin). Frisch deduced that the waggle dance was the language of honeybees.

Through further experimentation, Frisch was able to tease out the details of this “language”.

  • Honeybees’ eyes can see ultraviolet and polarised light, which allows them to see where the sun is in the sky at all times. This is because sunlight polarises so that it points towards the sun and honeybees can see this direction. Therefore, the bee’s eyes act as a solar compass that tracks the exact location of the sun in real-time.
  • Bees have a finely-tuned internal clock that allows them to predict exactly where the sun should be depending on time, season and latitude, as the sun moves through the sky.
  • Another point of reference that is used in the bees’ language is gravity. Gravity is a constant that does not change, meaning all bees know which direction is “up” and which is “down”. This also means they can use a vertical, perpendicular line as a standard zero-point.

By pairing the two global constants, gravity and the location of the sun, the bees can accurately signal to other bees the direction they should fly in to find the food source. If a bee does a waggle dance that points 60° right from the vertical “up” direction (as defined by gravity), it signals that the bees should fly 60° right from the direction of the sun. If the angle is 0°, the bees should fly directly towards the sun, and if the angle is 180°, the bees should fly directly away from the sun. The bees use their internal clock to calibrate the direction depending on the time of the day.

The straight line “waggle” part of the dance gives the information of distance. The longer the duration of the straight line, the further away the flower is. As a general rule of thumb, the duration of the straight line increases by 1 second for every 1 kilometre. When the food is within about 60m of the hive, the 8-shape waggle dance turns into an O-shape round dance. The bee deduces the distance by the energy required to fly to the location.

By encoding the two variables “direction” and “distance”, a bee can effectively use the waggle dance to accurately pinpoint the location of a food source. It is amazing to see that animals that we consider “primitive” such as bees have such an intricate method of communication.

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(Image source: http://aireona93.deviantart.com/art/YAY-Waggle-Dance-146361214?q=boost%3Apopular%20waggle%20dance&qo=1)

Posted in Science & Nature

Folding Paper

Take any piece of paper and fold it in half. Then fold it in half again. Chances are, you will not be able to fold the paper more than seven times. Try it. No matter how thin the piece of paper is, it is extremely difficult to fold a piece of paper in half more than seven times. The reason? Mathematics.

A standard sheet of office paper is less than 0.1mm thick. By folding it in half, the thickness doubles and becomes 0.2mm. Another fold increases it to 0.4mm. Already, the problem can be seen. Folding a paper in half doubles the thickness, meaning every fold increases the thickness exponentially (2ⁿ). By seven folds, the thickness is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 times the original thickness. This makes the piece of paper so thick that it is “unfoldable”.

Another limitation is that folding the paper using the traditional method means the area also halves, decreasing exponentially. With a standard piece of paper, the area of the paper is so small after seven folds that it is mechanically impossible to fold it. Furthermore, the distortion caused by the folds is too great for you to apply enough leverage for folding the paper.

Could these limitations be overcome by using a larger piece of paper? Sadly, no matter how large the piece of paper, it is impossible (or at least extremely difficult) to fold a piece of paper over seven times. This has been a mathematical conundrum for ages, until it was solved in 2002 by a high school student named Britney Gallivan. Gallivan demonstrated that using maths, she could fold a piece of paper 12 times. The solution was not simple though. To fold the paper 12 times, she had to use a special, single piece of toilet paper 1200m in length. She calculated that instead of folding in half every other direction (the traditional way), the least volume of paper to get 12 folds would be to fold in the same direction using a very long sheet of paper.

Mathematics, along with science, is what makes something that seems so simple, impossible.

Posted in History & Literature

Dracula

Dracula is a fantasy/horror novel written by Bram Stoker in 1897. It is written as a series of letters, diary entries and other log entries, telling the battle between the vampire Count Dracula and Professor Van Helsing (with the help of some other people). It is one of the most well-known horror fictions in history and defined the modern image of vampires. Although it seems unlikely, the blood-sucking, immortal, creepy vampire that is Count Dracula is (loosely) based on an actual person.

Vlad III Dracula of Wallachia was a Romanian prince who led his army to fight against the invading Ottoman Empire during the 15th century, which was expanding its reach throughout Europe at the time. He was also referred to as Vlad the Impaler due to his incredibly cruel punishment of prisoners and enemies. He would kill the victims by stabbing their bodies with spears, typically through the anus up to the mouth. He would then have the bodies hanging as a warning to others. The victims would die a slow and painful death as they were drained of blood.

Another interesting fact is that Vlad III was an expert in guerilla warfare and would frequently hide his army in trees and strike the enemy at nighttime. This earned him a legend that he was bat-like – hanging from trees and only attacking at night to drain people of their blood. It is likely that Stoker took this legend and incorporated it into his novel, making Count Dracula able to transform into a large bat.

It is fascinating to see how someone who is portrayed as a noble hero in Romania and Slavic countries is remembered as an archetypal monster in modern times. This serves to remind us that no matter what good deed we may do, the world will only focus on a certain aspect and define you by that characteristic. The world is stubborn, critical and narrow-minded. Ergo, it is a waste of time trying to convince the world that you are a certain kind of person. As long as you know what kind of person you truly are and accept it, you will be able to live a happy life.

Posted in History & Literature

Voyeurism

Generally speaking, people do not like it when someone watches them undress or see them in a compromising situation. The act of looking in such a situation when a person explicitly tells you not to is called voyeurism, which is French for looking. Peeking is an extreme violation of trust and privacy and can even be considered a crime. However, there are people like Edgar Degas who made a career out of peeking. Degas is very famous for his portraits of women bathing, combing their hair and drying themselves with towels. Through peeking through windows without permission, Degas was able to capture the women’s natural beauty without any artificial manipulation (if he was not caught).

The prohibition against looking is well-established in heroic mythology.

In the bible, when God decides to destroy Sodom and Gomora (two cities that become so indulgent and decadent that they become the symbol of sin itself), angels warn Lot to leave Sodom with his family. They tell Lot and his family not to look behind them as they flee, for they would become consumed by the sin. However, his wife looks back as they leave and is turned into a pillar of salt.

This story is likely to have been derived from the Greek mythology of the musician Orpheus and his wife Eurydice. When Eurydice is unfortunately killed by falling in a pit of vipers, Orpheus becomes struck with grief and turns to singing and playing his lyre for comfort. The gods are so moved by his sad, mournful songs that they advise him of a way to save Eurydice. On their advice, Orpheus travels to the underworld and persuades Hades and Persephone to release Eurydice back to life with his music. The king and queen of the underworld, who are never moved by such things, are brought to tears by his music and accept Orpheus’ request. However, Hades tells him not to look at Eurydice until they reach the surface. Overjoyed, Orpheus takes Eurydice’s hand and leads her back to the living world. When Orpheus reaches the surface, he looks back in anxiety to make sure Eurydice is still behind him. However, he does not realise that both must be above the surface and when he looks back, Eurydice has not reached the upper world yet. She is dragged back into the underworld, never to return again.

There are many other instances of voyeurism being punished in literature, such as the Peeping Tom who is struck with blindness when he tries to peek at Lady Godiva in the nude, or anyone who makes eye contact with Medusa turning to stone. It is clear that voyeurism has been an integral part of humanity throughout history. No matter how immoral the act may be, the stories show that the hero always looks.

Posted in Psychology & Medicine

Reverse Psychology

If you tell a child not to do something, chances are he or she will do it. This is a simple rule of parenting that everyone has experienced at some point in their lives. People (especially children and teenagers) are wired in a certain way so that if they are told they cannot do or have something, they react by wanting it more. They then rebel by reasserting their freedom and express anger towards the person restricting their freedom. This is a natural response for a person that is beginning to develop a sense of self and ego, as they feel an instinctive desire to protect their right to free will. This psychological phenomenon is known as reactance.

Although reactance can be very troublesome and annoying to deal with, you can easily turn it around to your advantage if you understand the basic principles behind the effect. Under the assumption that a child will always react to your commands and advice by doing the opposite, we can deduce that if you say the opposite of what you want, they will end up doing what you want. This is reverse psychology. It is a surprisingly effective method of manipulation, especially in those with high reactance (usually children or those who are as immature and stubborn as children).

It has been scientifically proven that reverse psychology is extremely effective in children, as they would rather protect their (perceived) free will than avoiding study or not eating their greens. An example of reverse psychology would be telling a child to stay home when they actually want them to go out and play. However, reverse psychology is not the most ideal way of parenting as it reinforces the idea that it is okay to do the opposite of what you ask, thus undermining your authority.

Reverse psychology works just as well in adults when used right. For example, using a strong imperative tone against a person effectively assaults their ego, which provokes their natural instinct of reactance. If you are not in a position of authority and the person has the option to defy you, it is likely that they will revert to an irrational teenager and do the opposite of what you commanded. However, repetitive use of reverse psychology may lead the person to think that they are being manipulated, causing them to nullify it by reverse reverse psychology. Reverse psychology can be a double-edged sword if this happens, so it is important to know when it is most likely to be effective.

Psychological reactance is more likely to arise if the restricted option appears more attractive and important. The greater the restriction of freedom, the greater the psychological reactance. Also, arbitrary threats produce high reactance as they do not make sense, making people more rebellious. It is important that reverse psychology be used subtly and sparingly on people who are resistant to direct requests. Mastery of the above skills will help you manipulate a person into doing your bidding under the illusion that they are acting on their free will.