Posted in Philosophy

Truth And Lie

You are journeying through a forest when you come across a fork in the road. One path will take you out of the forest, while the other will take you deeper into the woods to a deadly swamp.

At the fork, there are two guards with a peculiar sign in front of them. The sign reads:

“One of us always tells the truth, one of us always lies. You may ask exactly one question to just one of us. Choose wisely.”

The two guards look exactly the same and there is no way for you to tell which guard speaks truth and which lies.

What can you ask either guard to take the right path out of the forest?

(Answer after the break)

Continue reading “Truth And Lie”
Posted in Life & Happiness

How To Draw A Line

If you need to draw a straight line without the help of a ruler, try the following method. Instead of looking at the tip of your pen, look at the point you are trying to draw a line to and move the pen in one swift motion towards it. You will find that the line is much straighter than when you are consciously focussing on where your pen is.

This is similar to how when you are walking down a staircase, the more you think about the steps you are taking, the more likely you are that you will trip and fall. Your brain is very proficient at automating physical activities, so that you can use “muscle memory” instead of wasting precious mental energy.

This also means that ironically, thinking and worrying about doing something right can result in more failures. Sometimes, it is better to just be aware of the direction you want to head in and go with the flow, rather than overthink, micromanage and ruin things.

Posted in Life & Happiness

The Wind

Sometimes when you’re lost and don’t know which direction to go, just follow the wind. It might not be the right direction but at least the breeze will keep you cool.

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 History & Literature

Direction

Most of mankind’s major expeditions happened from east to west. Since the beginning of man’s history, people have wondered where the giant fireball set at the end of the day and followed the journey of the sun. Odysseus, Christopher Columbus and Attila the Hun all believed the answer lied in the west. To journey to the west – that was a quest to know the future.

Contrary to the people who questioned where the sun was heading towards, there were also people who wondered where the sun came from. Marco Polo, Napoleon and Bilbo Baggins (protagonist of The Hobbit By J.R.R. Tolkien) are examples of people who travelled to the east. They believed that they would surely discover great things in the place where everything originated from.

In the symbolic system of adventure, there are still two directions left for travellers. The meanings of each are as follows: to venture north is to seek obstacles that can test your abilities, while journeying to the south is seeking rest and peace.

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(from The Encyclopaedia of Relative and Absolute Knowledge by Bernard Werber)