Posted in Psychology & Medicine

Watching You

What drives our morality? Philosophers have argued and pondered for millennia where our sense of selflessness, altruism and honesty come from. Are we inherently good or evil? Do we only help others when it benefits us? How can we motivate people to act more morally?

One interesting research reveals a startling truth about our morality.

In 2006, psychologist Melissa Bateson published a research where she experimented with eyes. Their university tea room had an honour-based coffee and tea system, where you pay the price of the beverage into a box. Because there was no one keeping guard over the box, you could choose to cheat the system by taking a free drink without paying. Bateson wanted to see if she could influence how often people paid by making a simple alteration to the notice banner.

The notice banner had the prices for tea, coffee and milk. Bateson decided to add an image above the prices: a pair of eyes, or flowers. She would alternate the image used week by week, then recorded the total earnings and the number of drinks purchased. She would use different flowers and different eyes from various genders, ethnicities and expressions, but the eyes all had something in common: they stared directly at you.

The results were fascinating: on weeks where the notice banner included pictures of eyes, people paid 2.76 times as much compared to the flower weeks.

Turns out, seeing a depiction of eyes makes us more honest and cheat less. The same effect has been seen when using cartoons or drawings of eyes, resulting in less littering, more donations, less crime and overall more pro-social behaviours. This is called the watching-eye effect.

Why do harmless pictures of eyes make us want to do good?

The effect is likely to be an unconscious, automatic reaction. Our brains are remarkably sensitive to eyes and gaze – which is why we can easily spot people staring at us and why we are so good at reading emotions from eyes.

Furthermore, we are social animals and thus have evolved to show pro-social behaviours so that we fit into the group and live together harmoniously.

This means that when we see even a symbol of an eye, our brain automatically thinks that we are being watched by someone, pushing us to act morally to avoid punishment or embarrassment. This suggests that our desire to preserve our social reputation plays a significant role in our morality (but by no means the only factor).

The other thing to consider is that as we grow up, we are continuously taught that we are being watched, to dissuade us from bad behaviour. God will send you to hell, Santa Claus will put you on the naughty list and Big Brother will send you to prison. All of these stories and cultural beliefs fuel our subconscious paranoia of being watched and fear of consequences.

So if your lunch keeps getting stolen from the fridge, try sending a message by putting a photo of eyes on it to see if it deters your coworkers.

Posted in Science & Nature

Grandi’s Series

In 1703, Italian mathematician and monk Guido Grandi posed a deceptively simple-sounding question:

What is the sum of the following infinite series?
1 – 1 + 1 – 1 + 1 – 1 + 1 – 1…

With simple arithmetic, we can easily divide the series using parentheses (brackets):

(1 – 1) + (1 – 1) + (1 – 1) + (1 – 1)… = 0 + 0 + 0 + 0 +… = 0

But what if we changed the way we used the parentheses?

1 + (-1 + 1) + (-1 + 1) + (-1 + 1)… = 1 + 0 + 0 + 0 +… = 1

Because of the way negative numbers work, this solution is equally feasible. Ergo, both 0 and 1 are acceptable answers.

How can one series possibly have two different answers? Grandi used the fact that both 0 and 1 are possible from his series as proof that God exists, as something (1) can be made from nothing (0).

Grandi’s series becomes even stranger when a more advanced technique is applied.

Let us say that Grandi’s series is denoted by S (S = 1 – 1 + 1 – 1…).
We can then break down the series as 1 – (1 + 1 -1 + 1…), because the plus and minus signs can be inverted together.
Ergo, S = 1 – S → 2S = 1 → S = ½

Now we have three answers to Grandi’s question: 0, 1 and ½.
For over 150 years, mathematicians fiercely debated the answer to Grandi’s question. By the 19th century, mathematics had evolved and mathematicians had figured out better ways to solve infinite series.

The classic example is the solution to the series: 1 + ½ + ¼ + ⅛…
To solve this, you can add the partial sums, where you add each number to the sum of the previous numbers to see what number you are approaching (the limit).

1 → 1.5 → 1.75 → 1.875 → 1.9375… until we infinitely approach 2 (or 1.9999999…)

If we apply this method to Grandi’s series, we do not approach a single number because we keep swinging between 0 and 1. (1 → 0 → 1 → 0 → 1…)

So we can apply another method, where we average the partial sums as we go instead of adding.

e.g. 1 → ½(1 + 1.5) = 1.25 → ⅓(1 + 1.5 + 1.75) = 1.416 → ¼(1 + 1.5 + 1.75 + 1.875) = 1.531… until we approach 2.

Using this method on Grandi’s series:

1 → ½(1 + 0) = ½ → ⅓(1 + 0 + 1) = ⅔ → ¼(1 + 0 + 1 + 0) = ½…

Eventually, the series appears to converge on ½, showing that the answer to Grandi’s series seems to be ½.

The problem with this method is that Grandi’s series does not actually have a limit, but we are applying a solution as if it has a limit. This is similar to using a divide by 0 trick to prove that 1 + 1 = 3. In mathematics, when rules are bent, we end up with weird, paradoxical results.

To show this empirically, consider the thought experiment of Thomson’s Lamp:

Imagine a lamp that is turned on after 1 minute, turned off after ½ minute, turned on again after ¼ minute ad infinitum.
This incorporates both infinite series discussed above.
Ergo, we know that the sum of time is 2 minutes.
So, at the end of 2 minutes, is the lamp on or off?
If Grandi’s series solves to 0, the light is off; if it is 1, the light is on.
Then what does it mean if Grandi’s series solves to ½?
Is the light on or off?

Posted in History & Literature

The Egg

Short story written by Andy Weir

You were on your way home when you died.
It was a car accident. Nothing particularly remarkable, but fatal nonetheless. You left behind a wife and two children. It was a painless death. The EMTs tried their best to save you, but to no avail. Your body was so utterly shattered you were better off, trust me.

And that’s when you met me.

“What… what happened?” You asked. “Where am I?”
“You died,” I said, matter-of-factly. No point in mincing words.
“There was a… a truck and it was skidding…”
“Yup,” I said.
“I… I died?”
“Yup. But don’t feel bad about it. Everyone dies,” I said.

You looked around. There was nothingness. Just you and me. “What is this place?” You asked. “Is this the afterlife?”
“More or less,” I said.
“Are you god?” You asked.
“Yup,” I replied. “I’m God.”
“My kids… my wife,” you said.
“What about them?”
“Will they be all right?”
“That’s what I like to see,” I said. “You just died and your main concern is for your family. That’s good stuff right there.”

You looked at me with fascination. To you, I didn’t look like God. I just looked like some man. Or possibly a woman. Some vague authority figure, maybe. More of a grammar school teacher than the almighty.
“Don’t worry,” I said. “They’ll be fine. Your kids will remember you as perfect in every way. They didn’t have time to grow contempt for you. Your wife will cry on the outside, but will be secretly relieved. To be fair, your marriage was falling apart. If it’s any consolation, she’ll feel very guilty for feeling relieved.”

“Oh,” you said. “So what happens now? Do I go to heaven or hell or something?”
“Neither,” I said. “You’ll be reincarnated.”
“Ah,” you said. “So the Hindus were right,”
“All religions are right in their own way,” I said. “Walk with me.”

You followed along as we strode through the void. “Where are we going?”
“Nowhere in particular,” I said. “It’s just nice to walk while we talk.”
“So what’s the point, then?” You asked. “When I get reborn, I’ll just be a blank slate, right? A baby. So all my experiences and everything I did in this life won’t matter.”
“Not so!” I said. “You have within you all the knowledge and experiences of all your past lives. You just don’t remember them right now.”

I stopped walking and took you by the shoulders. “Your soul is more magnificent, beautiful, and gigantic than you can possibly imagine. A human mind can only contain a tiny fraction of what you are. It’s like sticking your finger in a glass of water to see if it’s hot or cold. You put a tiny part of yourself into the vessel, and when you bring it back out, you’ve gained all the experiences it had.
“You’ve been in a human for the last 48 years, so you haven’t stretched out yet and felt the rest of your immense consciousness. If we hung out here for long enough, you’d start remembering everything. But there’s no point to doing that between each life.”

“How many times have I been reincarnated, then?”
“Oh lots. Lots and lots. And in to lots of different lives.” I said. “This time around, you’ll be a Chinese peasant girl in 540 AD.”
“Wait, what?” You stammered. “You’re sending me back in time?”
“Well, I guess technically. Time, as you know it, only exists in your universe. Things are different where I come from.”
“Where you come from?” You said.
“Oh sure,” I explained “I come from somewhere. Somewhere else. And there are others like me. I know you’ll want to know what it’s like there, but honestly you wouldn’t understand.”

“Oh,” you said, a little let down. “But wait. If I get reincarnated to other places in time, I could have interacted with myself at some point.”
“Sure. Happens all the time. And with both lives only aware of their own lifespan you don’t even know it’s happening.”
“So what’s the point of it all?”

“Seriously?” I asked. “Seriously? You’re asking me for the meaning of life? Isn’t that a little stereotypical?”
“Well it’s a reasonable question,” you persisted.
I looked you in the eye. “The meaning of life, the reason I made this whole universe, is for you to mature.”
“You mean mankind? You want us to mature?”
“No, just you. I made this whole universe for you. With each new life you grow and mature and become a larger and greater intellect.”
“Just me? What about everyone else?”
“There is no one else,” I said. “In this universe, there’s just you and me.”

You stared blankly at me. “But all the people on earth…”
“All you. Different incarnations of you.”
“Wait. I’m everyone!?”
“Now you’re getting it,” I said, with a congratulatory slap on the back.
“I’m every human being who ever lived?”
“Or who will ever live, yes.”
“I’m Abraham Lincoln?”
“And you’re John Wilkes Booth, too,” I added.
“I’m Hitler?” You said, appalled.
“And you’re the millions he killed.”
“I’m Jesus?”
“And you’re everyone who followed him.”

You fell silent.
“Every time you victimized someone,” I said, “you were victimizing yourself. Every act of kindness you’ve done, you’ve done to yourself. Every happy and sad moment ever experienced by any human was, or will be, experienced by you.”

You thought for a long time.
“Why?” You asked me. “Why do all this?”
“Because someday, you will become like me. Because that’s what you are. You’re one of my kind. You’re my child.”
“Whoa,” you said, incredulous. “You mean I’m a god?”
“No. Not yet. You’re a fetus. You’re still growing. Once you’ve lived every human life throughout all time, you will have grown enough to be born.”

“So the whole universe,” you said, “it’s just…”
“An egg.” I answered. “Now it’s time for you to move on to your next life.”

And I sent you on your way.

Posted in History & Literature

Namaste

Yoga has become a popular fitness trend in the developed world. People enjoy yoga as they feel it combines regular exercise, flexibility and meditation all in one session. One popular tradition that is seen in modern yoga is how instructors (yogi) will say “Namaste” at the start and end of a session.

What does namaste mean? Some people think it means “goodbye” in Hindi, while some people ascribe deeper meaning to the word such as “love and peace to all” or “the divine in me bows to the divine in you”. All in all, it has become somewhat of a catchphrase in the yoga world.

In reality, namaste is simply a greeting. It can be used either when you meet someone or say goodbye, but the important point is that it is a very formal greeting. It is more often used in formal settings such as important meetings. The word comes from the Sanskrit roots namas, meaning “bow” or “to pay homage to”, and te, essentially meaning “to you”. Therefore, a literal translation of namaste would be “I pay homage to you”.

Interestingly, namaste has never been an important part of traditional yoga. Yoga in India generally come from religious traditions. Since Hinduism is a polytheistic religion involving many gods, each yoga lineage would have a specific greeting praising their respective gods. This is in contrast to namaste, which puts more importance on the individual person than the god. So ironically, namaste somewhat contradicts the traditional philosophy of yoga.

Unfortunately, the worst part is that most people do not even pronounce the word correctly, saying “NA-ma-stay” instead of the correct “nuh-MAS-the” (“t” is pronounced as “th” in Hindi) with the emphasis on the middle syllable.

It is unclear when the trend of saying namaste in modern yoga came from, but it is certainly a product of the Western appropriation of the practice. Perhaps it was introduced to add a more spiritual, faux-profound flavour to exercising.

Nevertheless, to quote Inigo Montoya from The Princess Bride:

“You keep using that word. I do not think it means what you think it means.”

Posted in Philosophy

Pascal’s Wager

In the 17th century, French philosopher Blaise Pascal made the following argument for believing in a god:

  1. There is a god or there is not.
  2. You can choose to believe in a god or not (the wager).
  3. If there is a god, you will be rewarded eternally in the afterlife for your faith, but be punished eternally if you do not believe.
  4. If there is no god, you lose a finite amount of your time and maybe some material wealth for believing in a god.
  5. Ergo: As the rewards and punishments that follow in the case of god existing is infinite, it is better to bet that there is a god, no matter how infinitesimal the odds may be.

Pascal’s wager does not deal with the possibility of whether gods exist or not; that is irrelevant to the wager. He merely suggests that the odds suggest that you should believe. But is this really the case?

To begin with, what Pascal promotes through this wager is not true belief or faith, but a rational choice to believe – something that is not really possible. Believing is not a product of reasoning but more of an alternative. Furthermore, if there really is an omniscient god, would he not easily see the impure motives behind your “faith”?

Secondly, how do we know that the god you believe in is the true god? There have been thousands and thousands of religions throughout history. Who is to say that the deity that you will face in the afterlife will not be Hades, Odin or Yama? If that is the case, then you will have lined up behind the wrong god and you will be punished for your “idol worship”. This argument nullifies the mathematical advantage of infinite rewards that Pascal suggests.

Lastly, one cannot rule out the possibility should a god exist, there is no way of knowing whether that god is benevolent or malevolent. Pascal’s wager only deals with the two possibilities of a benevolent god and the absence of god, but if a malevolent, wrathful god exists, then what is the gain from worshipping him? When you kill an insect, do you judge whether that insect has faith in you then reward or punish it accordingly? It is likely that in this scenario, worshipping such a god will be a waste of time and you will be relatively better off not believing in god.

In 1990, an American philosopher named Michael Martin presented a counter-wager to Pascal’s wager – the so-called atheist’s wager. He argued that if a benevolent god existed, then he should reward good deeds regardless of your faith. If a god does not exist, then your good deeds will leave a good legacy and the world will (hopefully) be a slightly better place to live in after you pass away.

Ergo, the wager we should be making is not whether a god exists or not, but that we should be good.

(If you are interested in this, you should read The God Delusion by Richard Dawkins, he explains this very elegantly)

Posted in Philosophy

Of Cats And Dogs

When a dog is fed by its owner, it thinks to itself: “This human feeds me every day and cares for my every need. It must be god.

When a cat is fed by its owner, it thinks to itself: “This human feeds me every day and cares for my every need. I must be god.

Posted in History & Literature

Rod Of Asclepius

There are many symbols that represent the field of medicine such as a red cross or a stethoscope. However, one of the most famous symbols representing medicine and healthcare is the rod of Asclepius. This symbol is used in the logos of numerous medical associations and army medical corps. Those who do know of the rod may describe it as a staff with two wings and two snakes intertwining on it, but this is a common misconception. That symbol is called the caduceus and is actually the symbol of Hermes – the Greek god of messengers, merchants, markets, the high roads, gamblers and thieves. The misconception is very common and many medical associations use the caduceus as their symbol instead of the correct Rod of Asclepius.

The Caduceus

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The actual rod of Asclepius is much simpler looking, as it is simply a stick with one serpent intertwining it. The reason that it is associated with medicine and healthcare is that it was wielded by the Greek god Asclepius – the god of medicine and healing. Asclepius was the son of Apollo and had a particular interest in the human body and the healing of ailments. The ancient Greeks often referred to Asclepius in the field of medicine. In fact, the famous Hippocratic Oath originally began with the line “I swear by Apollo the Physician and by Asclepius and by Hygieia and Panacea and by all the gods…” (Apollo was the god of many things and medicine was one of his minor domains).

The rod of Asclepius

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So why does the rod of Asclepius have a serpent wrapped around it? In Greek mythology, it is said that Asclepius commanded many non-venomous snakes which he used in healing rituals. The snakes would crawl around the temple, living freely among the physicians and patients. A certain species of snake called the Aesculapian snake is considered to be the model for this story. The reason why the Greeks chose the snake as the animal of healing may be because snakes shed their skin periodically – symbolising rebirth and fertility. 

Another possible root of the symbol may be the traditional treatment for a certain parasitic infection. The Guinea worm (Dracunculus medinensis) is a parasite that lives under the skin, digging itself out through a painful blister when mature. As the blisters burn, the patient immerses the area in cold water to soothe it. The worm detects the change in temperature and releases its larva, completing its life cycle. The traditional treatment was to slowly pull the worm out of the skin, entwine it around a stick and leave it for a period of hours to weeks until it would be completely removed. The Greeks may have taken this image (of the worm wrapped around a stick) and applied it to the rod of Asclepius.

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 History & Literature

Zodiac: Virgo

Virgo is the Zodiac sign for those born between August 23 and September 22. The symbol for Virgo is a beautiful, young maiden.

The model for Virgo is Astraea, the goddess of justice. When the world was created, both humans and gods co-existed on Earth, living a peaceful, carefree life. This was known as the “Gold Age”. But as time passed, humanity became smarter and more cunning. Furthermore, when the four seasons started, people had to work and this made them fight with each other sometimes. The gods, disgusted by humanity’s behaviour, all left to Mount Olympus. Only Astraea, who loved the people too much, stayed on Earth. This was known as the “Silver Age”. However, not long after that the “Copper Age” set in and people started to lie to each other, steal from each other and even kill each other. Astraea was disappointed and distraught, so she ascended to the heavens and became a constellation.

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

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Posted in History & Literature

Zodiac: Gemini

Gemini is the Zodiac sign for those born between May 21 and June 21. The symbol for Gemini is a pair of twin boys.

The model for Gemini is the twin sons of the Spartan queen, Leda – Pollux and Castor. The two, despite being twins, have different fathers, with a peculiar back-story. Zeus was in love with the beautiful queen Leda, so he transformed into a swan to seduce her. They made love, making Leda pregnant with Zeus’ son. However, she also slept with her husband the same night, leading to her being pregnant with another son. Thus, Pollux was born an immortal demigod with the blood of Zeus, while Castor was born a mere human. Despite this, the two had exceptional brotherly love for each other and would do everything together. Pollux possessed great physical strength, while Castor possessed great ingenuity. But one day, Castor died from a fight, causing great despair for Pollux. No matter how hard he tried, he could not kill himself due to his immortality. He cried out to Zeus: “If I cannot be with my brother, then I do not want to be immortal”. Zeus, taking pity on the two and admiring their love for each other, offered to halve Pollux’s immortality and share it with Castor. This is how they became a bright constellation in the night sky, side-by-side.

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