Posted in Philosophy

Spoon

In the film Matrix, a scene shows the protagonist, Neo, talking to a bald child in the Matrix who can bend spoons. The child can bend and straighten the spoon at will just by looking at it. He then passes the spoon to Neo and asks him to try. Neo stares and stares but nothing changes. The child then says:

Child: “Do not try to bend the spoon, that’s impossible. Instead only try to realise the truth.”
Neo: “What truth?”
Child: “There is no spoon.”
Neo: “There is no spoon?”
Child: “Then you will see that it is not the spoon that bends, it is only yourself.”

This philosophy, while sounding rather simple and nonsensical, can be applied to modern day life in so many ways.

For example, as people mature, they have a tendency to lose the creativity and innocence of their inner child. They find that reality is too harsh and cruel and one must follow the strict rules of society to survive. They feel as if they are trapped in a box, unable to escape forever. This pessimistic view of life and the world restricts their ability to be happy. These people have not yet realised the truth.

There is no box

Free your mind and the rest will follow.

Posted in History & Literature

Land

The following is the synopsis of a short story called How Much Land Does a Man Need?, written by the famous Russian author Leo Tolstoy.

A peasant man called Pahom was complaining of how he did not possess enough land to satisfy him. He lamented: “If I had plenty of land, I should not fear the Devil himself”. The Devil, hiding behind the stove and listening to this, decided to have a tussle with Pahom to teach him a lesson.

The next day, a lady in the village sold her estate, which was bought up by the peasants. Pahom too tried to buy as much land as possible and by utilising the land he pays off his debts and he leads a happier life. But despite having his wish granted, he was still not satisfied and desired more land. His obsession with his land began to cause troubles with his neighbours and he eventually moved to a larger area of land at another village.

However, he was annoyed that he was growing crop on rented land and wanted more land for himself. He found out that the Bashkirs in the village were simple-minded people with large amounts of land. Pahom decided to exploit the Bashkirs and went to them to negotiate the lowest price possible for their land. The Bashkirs counteroffered with a very strange deal: for a thousand rubles, they would let Pahom take a spade to mark out an area of land and claim it for himself. The only condition was that he had to come back to where he started to close the loop by sunset. Pahom joyfully took up the offer, thinking how stupid these people were.

That night, Pahom had a surreal dream where he saw himself lying at the feet of the Devil. The Devil was laughing maniacally over Pahom’s cold, dead body. After jerking awake from this nightmare, Pahom sets out to start marking out as much land as possible. He decides to travel as far as he can to maximise his gain. However, he forgets to take into account the time needed to come back to where he started and hurries back. Although he manages to close the loop by sunset, the exhaustion causes him to drop dead on the spot. He is buried in a hole measuring 6 feet long.

How much more land does a man need than a place where he can rest in peace?


Posted in History & Literature

Deal With The Devil

Faust is a famous German legend telling the tale of a man who sold his soul to the devil in a deal. The legend has been retold in many forms, in both literary and artistic forms, with the most famous versions being Christopher Marlowe’s and Goethe’s. The story goes as follows:

Faust was a very knowledgeable scholar who grew bored and disappointed of earthly knowledge. To seek more knowledge, he summons the devil, Mephistopheles. Mephistopheles proposes a deal to Faust, suggesting that he will serve Faust with his magical powers and with knowledge beyond this world. In exchange, after a certain amount of time has passed he would seize Faust’s soul and send him to damnation for eternity. 

After making this pact, Faust proceeds to satisfy his wants by using the devil’s powers. Eventually he seduces a beautiful, innocent girl by the name of Gretchen, but ends up destroying her life instead of living a happy life with her. However, she is saved by her innocence and ascends to heaven. 

Faust, with his term now over and about to burn in the eternal inferno of Hell, is saved by God’s grace via his constant striving. It is also said that his salvation is largely brought on by Gretchen, now a symbol of the Eternal Feminine, pleading to God to save Faust. 

Although this is the tale that is familiar in modern times, earlier versions of the Faust story end in damnation, with the devil carrying away Faust’s irrevocably corrupt soul. Faust accepts his sins and his punishments, regretting making a pact with the devil and destroying the life of his beloved Gretchen.
Faust serves to remind us that although every person has a right to be happy and satisfy their wants, there are boundaries that must be followed. By satisfying one’s needs and wants by destroying someone’s life and causing harm, one is subject to eternal punishment.

It is fascinating to see that one could go to such length to attain more knowledge. Is ultimate knowledge worth your soul being damned to eternity? Or is it wiser to accept that the only way to gain true knowledge is by continuously learning and thinking rather than finding a shortcut?

Posted in Philosophy

Wolf And Sheep Problem

If two wolves and one sheep vote on what to eat, it could be called a democracy. However, the result would obviously be against the best interest of the sheep. This problem, known as the wolf/sheep problem, is caused by the misunderstanding of the principles of democracy and is abused by many countries. Under a democratic system, a government is able to steal from the minority groups and redistribute it to the majority. Can such a system be called democratic?

The correct definition for democracy is: “a system where the people have power and are able to voice their individual opinions”. But if the minority opinion is silenced and ignored by the majority as described above, then that goes against the true spirit of democracy. Many confuse democracy with the principle of majority rule, which is only one method used to integrate the people’s opinions with politics. Ergo, the government has a duty to protect the voice and rights of the minority. The three most important of such rights are the freedom of political expression, speech and the press.

A democratic government should be a government of the people, by the people and for the people. Unfortunately, so many governments violate the meaning of democracy just as the two wolves prey on the sheep.

A wise person would not leave their fate in the hands of such a system.

Posted in Science & Nature

Buttered Cat Paradox

Cats always fall on their feet. Buttered toast always seems to fall buttered side down. So what would happen if we tied a buttered toast on a cat’s back and then dropped the cat? Would the cat land on its feet or would the toast land on its buttered side?
Or would we achieve perpetual motion and anti-gravity simultaneously as they cancel each other and never touch the ground?

Although the paradox is obviously a humorous thought experiment, there is some truth to the separate adages. 
Cats have a natural righting reflex that allows them to twist their upper body so that they land on their feet. This gracious manoeuvre is developed as a kitten and actually involves quite complex physics where the cat is able to turn around without changing their net angular momentum. Since cats have a small body and very light body weight, their terminal velocity (100km/h compared to a human’s 210km/h) when falling is much less and allows them to absorb the shock easily when landing. Furthermore, when falling cats naturally spread their limbs out to slow their fall as much as possible. All these factors let a cat land safely on its feet even if dropped from a high place. Ironically, the lower they are dropped from, the more likely that the cat would fall on its back.

The other side of the paradox is slightly more complicated. The adage that toast falls buttered side first is actually an example of how if something bad can happen, it will happen. However, physicists have discovered that toast is more likely to fall on its buttered side.
When toast falls off a plate, it is highly likely to tip as it hits the edge. This causes it to rotate as it begins to fall. There are two explanations on why the buttered side is more likely to be facing down. Firstly, butter adds weight to one side and heavier objects fall faster in the face of gravity. Secondly, using experimental data it has been found that toast only rotates about 180 degrees by the time it falls the height of the table or person from where it was dropped from. 

Despite it only being a tongue-in-cheek thought, one can only wonder how many scientists have made some toast, buttered it, tied it to a cat and dropped the cat off a ladder.

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Posted in Psychology & Medicine

Egg Of Columbus

After returning to Spain after his discovery of the New World, Christopher Columbus was dining with some nobles. One noble approached him and said:

“Even if you had not discovered the West Indies, another fine Spaniard would have gone to discover it anyway.”

Columbus did not respond and merely smiled. He then asked for an egg, which he placed on the table and asked:

“I bet that no one can make this egg stand by itself.”

All the nobles tried but were unsuccessful and the egg would continue to fall down. Columbus stepped forward and grabbed the egg, which he tapped on the table so that one end would be cracked and flattened. The egg would now stand on its flattened base.
Although the nobles initially complained that they knew that was the solution, the message was loud and clear: once the feat is done, everyone knows how to do it.

This is known in psychology as the historian’s fallacy – a logical fallacy that can be summarised in the words: “I told you so”. Essentially, people assume that people had the same information in the past or that they would not have made the same mistake if they were placed in such a situation. It is another example of cognitive dissonance where the brain finds conflict between a problem and information that could have prevented said problem (which the other person did not have at the time). Therefore, the brain immediately convinces itself that it would have made the right decision as it already knows the answer. This means that we are almost incapable of putting ourselves in other people’s shoes. We label those people as idiots, because they apparently had the same information (they did not) and still could not make the right decision.

People never realise that given the foreknowledge we have now, the Americans would have known about Japan’s plan for attacking Pearl Harbour or that Germany would not have invaded Russia. Although they say “those who cannot remember the past are condemned to repeat it”, we have a tendency to think that people in the past were stupid and we would never make the same mistakes.

Hindsight is 20/20.

Posted in Science & Nature

Dimensions: To Infinity And Beyond

So far we have covered 6 dimensions: point, lengthwidth, depth, time, alternate universe and travelling between possible futures being the key feature of each. Hopefully, you as the reader have caught on to the pattern of dimensions so far: point (0D) -> line (1D) -> branch (2D) -> fold/point (3D) -> line (4D) -> branch (5D) -> fold (6D)… This pattern of point/line/branch/fold continues past the 6th dimension. Therefore, the 6th dimension acts quite similarly to our 3D world in that we can assume it to be a point.
The 3rd dimension was a point in time. So what could the 6th dimension be a point of? The answer is infinity.

It was mentioned that the 5th dimension carries all of the possible alternate timelines that are created from a certain point. In the 6th dimension, these branches fold up to meet so that we can travel freely between every point. Therefore, the 6th dimension is a point that contains every possible timeline – where anything that can happen in the universe exists. This is infinity.

But by definition, infinity encompasses everything as there is no “end”. Then has our journey ended? In a fascinating turn of events, it turns out that we can not only ascend to the 7th dimension, but there are still 3 more dimensions to travel through.
By now we know that as the 6th dimension was a “fold/point” dimension, the 7th dimension must be a line connecting different 6D points (infinity). How can there be more than one infinity? Actually, infinity is only as great as the initial conditions from whence it was born – the Big Bang. In terms of universes, these initial conditions are the laws of physics such as gravity, the speed of light and hundreds of other constants. For example, gravity is 9.81ms-² in our universe. But if this value was off by even 0.0001, our entire universe would be completely different. Ergo, our universe and all the timelines that have and will form depend on the Big Bang. This also means that there can be many other “infinities” with different laws of physics. The line that these infinities lie on is the 7th dimension.

A good analogy for this is genetics. People’s lives have different outcomes depending on their choice, actions and random chance, but they cannot escape their pre-programmed genes. For example, it is not expected that a boy will (naturally) grow into a woman or sprout wings and fly. But if they were born with two X chromosomes or born with the DNA of a bird, this life would be possible.

Now let us follow the basic pattern to move to the 8th dimension. Here, the 7D line branches to meet yet another point of infinity (6D). And yet again, we can bend these branches through the 9th dimension to jump from one universe to another.

Lastly, we can take all of these branches and folds that encompass all possible timelines and all possible universes and draw it as a single point in the 10th dimension. This one point is the relative and absolute “everything”.

But what now? It is impossible to reach past the point of “everything possible”. This means that we cannot jump up another dimension as no other 10D point exists to be connected to. Ergo, the highest possible dimension is 10D and this is the basis of string theory. The 10th dimension is where the so-called superstring vibrates to form the subatomic particles that are building blocks of every matter in our universe.

As mind-boggling a journey it was, if you were able to follow through from the start, we have travelled from a single point that occupies no space to another point that encompasses all things possible in our universe in all possible timelines. We have zoomed out to the point that there is no longer a box to “think outside of”.

Can one ever reach that point where one knows everything that was, is and will be? To know every piece of knowledge that is the absolute yet relative truth? Although we cannot physically jump through dimensions, our minds can keep rising up to raise our level of understanding and enlightenment higher and higher. As we only live in the 3rd dimension, we have no less than 7 more dimensions to explore and understand. Only when we have reached the 10th dimension can we say that everything possible has been discovered.

Until then, anything is possible.

(This post is part of a series exploring the concepts of dimensions. Read all of them here: https://jineralknowledge.com/tag/dimensions/?order=asc)

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Posted in Science & Nature

Dimensions: Time Warp

The first three dimensions covered the three variables that determine space: length, width and depth. Then what could the fourth dimension possibly add? The answer is duration. The third dimension effectively becomes a point and the 4th dimension connects different 3D points to form a line that we refer to as time. For example, the “you” at this exact time is different to the “you” in five years time. These two “you”s are different (3D) points that lie on a 4D line (more specifically, your life). This is exactly the same principle as the 0th dimension being points in a 1D line, except three dimensions higher.

As a “moment” in 3D space is just a point on a 4D line, travelling from one point in time to another (i.e. time-travelling) would be as easy as walking along a straight line for a four-dimensional being. This concept is mind-blowing for us as we cannot fathom the concept of manipulating time. We are unable to see time as a dimension as we exist in a lower dimension. Every single moment in our lives is a brick that paves the road called time, meaning that we can only see each individual brick and not the overall picture. This is exactly the same as how a Flatlander could not understand the concept of depth and how we can be above them.

Although we see time as linear and straight, we are under the same illusion as the ant walking down the Mobius strip. Time is actually twisting and turning in the fifth dimension, creating multiple timelines that branch out like a tree of possibilities. These branches are influenced by our own choice, chance and the actions of others.
In other words, if a man proposes to girl A then he will go down the branch where he marries girl A. However, if he chose not to propose, he would end up marrying a different girl (or not at all). Therefore, he has entered a different branch than the girl A branch.
Now, if the man wanted to go from a timeline where he married girl A to another timeline where he married girl B, what could he do?

One method would be if he bent the 4th dimension (time) on itself through the 5th dimension to travel back in time to when he met the girl and not ask her number. This is exactly like folding a 1D line into a 2D circle to make the end point meet the starting point. However, to marry girl B he would have to make the right sequence of choices that lead to him marrying girl B (much like a role-playing game). This is the long-way round that would be too time-consuming and complex.

A simpler approach would be if he folded the 5th dimension through the sixth dimension and jump from the ending of timeline A to timeline B. This would be like the finger-lifting analogy we have been using time after time. If we pretend that the 5th dimension was a piece of paper, then we could fold it into a 6D cylinder so that the two edges meet. Now we are able to jump from one ending to another effortlessly, just as we did in the 2nd dimension.

It is easy to confuse the 5th and 6th dimension as they both deal with “alternate realitites”. Here is one way to differentiate the two: 5D space is like a 2D space for time – a flat plane where different timelines cross each other. Therefore, it can contain all of the possible outcomes from an initial condition – that depends on an action, choice or chance – such as your conception (visualise a dot on a piece of paper with many lines radiating out from it).
If we were to put a dot on a piece of paper above the first piece of paper (in the 3D space for time), we have entered a universe where there is a completely different starting point (before your conception), such as dinosaurs not existing. This means that the line called “you” may not even exist, and the two pieces of paper would never meet. The only way to jump from one piece of paper (5D) to the other would be through the 6th dimension.
Therefore, by jumping up a dimension, we gain a degree of freedom where we can move in yet another direction. This is seen between every dimension, such as 2D versus 3D. The 6th dimension merely lets us travel between different sheets of 5D paper.

So somehow we have reached the 6th dimension where one can not only time-travel, but jump from one alternate reality to another. Shall we venture further into the seventh dimension – infinity – and beyond?

(This post is part of a series exploring the concepts of dimensions. Read all of them here: https://jineralknowledge.com/tag/dimensions/?order=asc)

(Stick figures from xkcd)

Posted in Science & Nature

Dimensions: Flatland

As we live in a three-dimensional world, it is difficult to imagine that there are higher dimensions. To illustrate this, the thought experiment of the hypothetical “Flatland” can be considered. Let us assume that there is a two-dimensional world called Flatland. Here, the concept of depth does not exist. Only forwards, backwards, left and right exist; there is no up and down. Everything that happens here would look like it was drawn on paper.

Now let us interact with Flatworld. If we were to touch Flatworld with our finger, it would be like poking your finger through a newspaper. The inhabitants of Flatworld would see a circle suddenly appear out of nowhere that grows larger and larger. A person would appear as if they were being seen through a CT scanner – in sections. The concept that things can be above or below would sound crazy to a Flatlander, even though to us it appears as a simple concept.

Let us take an ant walking along a piece of paper as an example of a “2D object”. If the ant wishes to go from one edge of the paper to the opposite edge, it must walk along the 2D plane. However, with our 3D powers, we can fold the paper into a cylinder; now the ant can walk to the other point in an instant (across the fold). To another ant on the other side, the ant would look as if it teleported and suddenly appeared out of nowhere.

In another experiment, we make a Mobius strip (a ribbon is twisted once then its two sides are joined) and make an ant walk along it. Although the ant would think that it was walking in a straight line along a two-dimensional surface, it would have walked on both sides of the strip – a three-dimensional concept. If the Mobius strip concept is confusing, think of a garden hose instead: an ant walking along a straight garden hose is walking in: 1D (straight line), 2D (hose is actually a flat surface) and 3D (the ant can walk in a corkscrew pattern along the hose).

If we were to tell that ant that it had just travelled in a higher dimension, that ant would either scoff at us or be genuinely terrified of the experience. To it, we (or the giant pink circle that it sees our finger as) would look like some omnipotent being that can see everything going on in its world and teleport from one place to another. And although the concept of depth would initially intimidate the ant, it would bring the level of the ant’s understanding of the world up one dimension. For if we see what we only know, then how can anyone see anything new? The only way to truly learn and understand new things would be to jump out of the box and see everything from the outside – just like an ant seeing the piece of paper it was on from a higher ground.

Although we may laugh at the foolishness of the Flatlanders (and the ant), to a being of the 4th dimension, we would appear just as stupid and naive. By applying what we learned from the world of Flatland to our three-dimensional world, we can expand our horizon of knowledge and understand what the fourth-dimension is.

(This post is part of a series exploring the concepts of dimensions. Read all of them here: https://jineralknowledge.com/tag/dimensions/?order=asc)

Posted in Science & Nature

Dimensions: Exploring The Dimensions

In the 21st century, films and television have evolved to show 3D images. However, most people only have a crude understanding of what dimensions actually mean. This is a guide that will explore the incredible journey from a zero-dimensional point to a tenth-dimensional point and all the wonderful lines and folds that lie in between.

A point in space has no area – this is the zeroth dimension.
When two points are connected, it forms a line – the first dimension. This line allows one to travel from one 0D point to another, introducing the concept of length.
Another line is drawn branching off this line in a different direction – we have entered the second dimension. Now we have the concept of width.
By adding another concept – depth – we ascend to the third dimension. Now it is possible to go from one point on a 2D surface to another as we have “folded” a branch in the second dimension to meet the other branch. A simple explanation would be lifting your finger off one point and placing it on another point.

To simplify our journey to the third dimension we have:

  • Assumed a “point” in space as a dot (.)(0D)
  • Joined” two dots to form a line (|)(1D)
  • Branched” the line to create two ends (Y)(2D)
  • Folded” the branches together to make the two ends meet (P)(3D)

These four concepts of point, joining, branching and folding are crucial in understanding how the different dimensions interact.

An interesting thought regarding the concept of dimensions is perception. How would inhabitants of each dimension view different dimensions? This is easy for lower dimensions (2D and below) because we can see them as a dot, line, square and cube (our dimension). Ergo, we can easily understand all the concepts of the lower dimensions (e.g. width). However, the opposite would not be possible (e.g. a 2D being trying to understand depth) as the concept does not exist in their dimension.

To further explore this thought, we must explore the world of Flatland.

(This post is part of a series exploring the concepts of dimensions. Read all of them here: https://jineralknowledge.com/tag/dimensions/?order=asc)