Are We in a Simulation? A Scientific Test

According to a recent article, scientists are planning a test to determine whether our universe is a computer simulation. This is pretty relevant to my blog as I have discussed this idea a number of times before [1] [2] [3] [4].

Soft Watch at the Moment of First Explosion

Of course, the must-read paper on this subject is philosopher Nick Bostrom’s article, “Are You Living in a Computer Simulation?” The implication, given a couple of premises, is that we are almost certainly living in a computer simulation. Not only that, but the argument posits that our simulators are themselves extremely likely to be in a simulation, and those simulators are likely too to be in a simulation, etc.

Indeed, how will scientists test for signs of a simulation?

“Currently, computer simulations are decades away from creating even a primitive working model of the universe. In fact, scientists are able to accurately model only a 100 trillionth of a metre, with work to create a model of a full human being still out of reach.”

spiral_galaxy

Even so, there are limitations beyond technical ones that should be considered. If a test does not find any evidence of our being in a simulation, that does not rule out the possibility—in fact, a very well-designed simulation would be very difficult, if not actually impossible, to tell apart from a “reality” to its inhabitants.

Conversely, suppose a test that did find “evidence” that we are in a simulation. How would we judge this evidence? How can we know which way the evidence is supposed to point? After all, even if we find “glitches,” they could turn out to be part of a larger set of natural laws.

As Richard Feynman once thought, suppose we are observing a chess game but are not told what the rules are. After looking at various snapshots of a game, we can piece together some of the rules, and eventually we will learn that a Bishop must stay on the same color when it moves. But one snapshot later, we find that the only Bishop in the game is now on a different colored square. There would be no way of knowing, without looking at many more games, that there is a rule where a Pawn can promote into another piece, such as a Bishop, and that the old Bishop was captured. Without this knowledge, we might have thought that the Bishop changing color was a glitch.

Now back to the article.

“By testing the behaviour of cosmic rays on underlying ‘lattice’ frameworks governing rules of physics that could exist in future models of the universe, the researchers could find patterns that could point to a simulation.”

Many disciplines would have to come together here to prove something fundamentally “wrong” with our universe. It would be the junction point of computer science, physics, philosophy, mathematics, neuroscience, astronomy.

The plan given in the article is a noble one, but I do not expect it to grant any important experimental data soon. Rather, it is the tip of an immense iceberg that will be explored in not years or decades, but millennia to come.

Orwell, Chomsky, and the Power of Twisting Language

Choosing the right word is very important, but I’ve recently found it to be far more important than I previously thought. Influences: George Orwell, Noam Chomsky.

An Experiment

Consider the 1974 Loftus and Palmer experiment [1][2][3]. Participants were shown identical short videos of car crashes, and were then asked one of the questions:

  1. About how fast were the cars going when they smashed into each other?
  2. About how fast were the cars going when they collided into each other?
  3. About how fast were the cars going when they bumped into each other?
  4. About how fast were the cars going when they hit each other?
  5. About how fast were the cars going when they contacted each other?

The only difference is the wording. Yet it was able to produce a statistically significant result:

People will believe what they hear.

Framing the Question: Politics and Religion

There are many issues today in America that suffer similar biases from wording.

Take immigration for example. Most people would probably be against illegal aliens, but would probably be more sympathetic towards undocumented workers. With this phrasing, the same person might support giving rights to undocumented workers, yet might vote the opposite way when the media or a political party calls them illegal aliens. Even though they are referring to the same people, one term focuses to the illegality, while the other focuses on their work. Of course when you call them illegal aliens, you’re going to have a biased discussion.

Abortion falls to the same bias. It is the termination of pregnancy, yet those who are opposed label it as bad as killing babies.

Or if you are not a Muslim, you are a non-Muslim; however, Islamist extremists label you as an infidel.

And don’t think Christianity gets off the hook here. A non-Christian is similarly labeled by extremists as a blasphemer (or infidel or heretic as well). And since one can’t be both Muslim and Christian at the same time, every person on Earth is an infidel or a blasphemer. That’s just the logical truth.

Framing the Question: Science and Religion

The power of twisting language is nowhere more important than in the evolution vs creationism “debate.” The reason I put the word “debate” in quotes is that it’s really not a debate where both sides use logic, reason, and facts. Yet, as long as the creationists manage to convince people there is still “debate” by labeling the whole thing as a “debate,” then they are winning their “debate.”

So far, every debate I’ve seen between evolution and creationism, and between logic and religion in general, is more of a lecture to a stubborn adolescent who still believes in fairy tales. The power of language is so strong that in labeling the conflict as a “debate” in the first place, the creationists are creating the false presumption that there even is a debate.

They use completely wrong and misleading words to describe the theory of evolution. Even calling it a theory or hypothesis in the first place is misleading, because the word theory in everyday speech strongly focuses on the possibility of being uncertain or wrong (if I said “My theory about why the grades were lower on this test…”), whereas the word theory in science implies strong logical mechanisms and the possibility to confirm or deny through evidence (such as the theory of gravity).

To adapt this “debate” to everyday speech, we should really call it the fact of evolution. One is of course allowed to call it a theory, but only seriously if one actually understands it scientifically. Most of those who claim “it’s just a theory” don’t actually understand it at all.

A debate would imply both sides are using reason. That is hardly the case. It is really more of a clearing of misunderstandings than the use of any higher cognitive skills.

The following words are extremely well misunderstood: random, chance, selection, adapt, and purpose. Consider the following dialog, which more or less actually happened (I am putting quotes around the word “Evolutionist” as it is really just a label that shouldn’t have to exist, just as you don’t have to call people who believe the world is round “Round-Earthers”):

Creationist: It’s hard to believe that the eye happened by accident.

“Evolutionist”: Evolution doesn’t say it happened by accident.

Creationist: Then it has to have a purpose.

What’s going on here is not a debate at all, but an abuse of language. The eye does not have any intrinsic purpose, but it is also not an accident. Creationists often create this false dichotomy of purpose vs accident. And when they show it is preposterous for life to have developed by accident, they think they have shown it must have been done on purpose.

Randomness does not imply either purpose or accident. Why is a cheetah fast? Because in a larger pool of animals in an ecosystem, if it were slower, it wouldn’t be able to catch its prey, and it would die off, and that would have happened millions of years ago, so we wouldn’t see it today. That’s the simple logic. No accident or purpose is implied.

So many other words—good, evil, salvation, sin, faith, and I’m sure I’m missing a ton more—are all heavily loaded, ill-defined, ambiguous concepts that are twisted around by religion to suit its needs depending on the situation. This is Orwellian Doublespeak at its strongest.

Words and the Future

It is imperative that the American public understand how loaded words are affecting its choices and decisions. The election process should be dependent on the rational discussion of real issues, not by a massive popularity contest shrouded by mutual insults and loaded words oversimplifying the situation and vilifying the other party. News should be news, not political indoctrination. Language should be the way we voice our concerns to the government, not the way political parties usher us like pawns to certain death.

In addition to math and science education, which should most certainly be improved, we really do need to keep our English and history classes in able hands. But, in English classes, instead of teaching only books written long in the past, they should occasionally make students read current news articles and critically think about them. Then maybe people will realize that English is not all pointless. And once this happens, the government will be afraid, and it will be forced to listen to the educated American people, as history perhaps once intended.

Two Important Principles

There are many principles that guide our philosophies, our thought, our reason, and even our morality. Two of the most important ones for me are the Cosmological Principle and the Anthropic Principle. Despite their opposite-sounding names, they are not mutually exclusive!

The Cosmological Principle

It can be phrased many ways, with many different connotations. The essence of the principle is that, when viewed from a larger perspective, Earth is not special within the universe. More specifically, it states that the laws of physics govern equally and universally, with no preference for any particular region within it.

To believe such a thing in ancient times was considered heretical. After all, almost all old religion positioned the Earth as the center of the universe, at least metaphorically if not physically. But the more we learned about the universe, the more we learned the fact that we are not at the center of the universe, the perhaps painful fact that we are not special. A frightening fact indeed.

In 2006, the Cassini spacecraft took a picture where Saturn eclipsed the Sun. There was a little dot in one area. At first you might think it is just one of Saturn’s moons, or perhaps a stray asteroid. Surely that can’t be anything we call special, right?

That dot turns out to be the Earth entire.

Now, on to the second rule.

The Anthropic Principle

Only those universes with the conditions to have life would be observed by such life from within. Therefore, given that we are observing our own universe from within, our universe must have sufficient conditions for life. That is to say, just for having life, our universe is not special.

With a multiverse, there may be billions, trillions, and possibly even infinitely many universes. Even if only a tiny fraction of universes support life, the anthropic principle shows that given we can observe our own universe, we are automatically in that tiny fraction.

After all, if our universe could not support life, then we cannot exist within it. So, there would be nobody in that universe to realize it cannot support life. Someone who has studied conditional probability should be able to understand this. While the chance that a universe supports life might only be 0.01% (i.e., our universe is “fine-tuned”), the chance that our universe supports life is 100% regardless, because we are already here to make the observation in the first place.

The anthropic principle says that our universe is not special, while the cosmological principle says that Earth is not special within the universe. As humans, we cannot afford to satisfy ourselves with Earth, merely one of the billions of billions of rocks in the universe. Rather, it is imperative to explore the universe and understand its mysteries.

An Atheist’s View on Morality

This is in response to my previous article, “Ethical Dilemmas and Human Morality.” In that article I listed several questions in several situations and asked you, the reader, what you would do in each case. At the end, I promised to explain my own moral principles as well. So, this post is my own view of ethics and morality, from an atheist.

What Is the End Goal?

First of all, what is the goal of morals? To create a better society is a satisfactory explanation to many, but what then? If a nearly perfect society were to exist some time in the future, would morals still matter? My answer is Yes.

I am optimistic in the future of humanity, and I hope there will be a time when humans can peacefully explore the stars, the galaxies, and the universe. When we are at this stage of civilization, we will be long past the petty conflicts that determine morals today.

Thus, a more long term goal is needed. I propose the following primary objective:

  • To preserve life in the universe.

There is no pure logical reason to put this directive above all others. However, if we start with this assertion, that a universe with life is better than a universe with no life, then many moral questions can be answered in a systematic way.

A Moral Hierarchy

It is systematic enough to put morals into a hierarchy:

Levels
6. Preservation of Life
5. Preservation of Intelligent Species
4. Preservation of Diversity of Species
3. Preservation of Well-Being of the Species
2. Preservation of Self
1. The Following of Social Norms/Cultures/Religion/Laws
0. Natural Instinct and Personal Wants

The way to read this is for any action, start at the bottom and see if it fits with the statement at that level. Then an action is morally justified if it fits a given level and to the best of your knowledge, it does not contradict a higher level. On the other hand, an action is morally wrong if it fails to fit the highest level that you are knowledgeable of.

Examples

Perhaps this hierarchy is a bit confusing, so I will give a few examples.

Example 1: You see a dollar bill is on the ground and nobody else is around. Is it right or wrong to take the dollar bill?

  • According to Level 0, you are allowed the action of taking the dollar bill. You go up one level, to Level 1, and the action is still allowed by society. You don’t believe it will affect any of the higher levels. So, the decision to take the bill is morally justified.

Example 2: Someone has $1,000. Is it morally right or wrong to steal the money from this person?

  • The action fits Level 0, but it fails at Level 1, as it is against the law. You do not believe it will affect any higher level. Since Level 1 is the highest relevant level to your knowledge, the action is morally wrong.

Example 3: Thousands of nuclear weapons around the world are about to explode, and the only way to stop them is to extract a certain code from a captured terrorist. However, the terrorist will not speak. Is it morally justified to torture the terrorist?

  • Torture is against social norms and the law, so the action fails at Level 1. But, Level 3 and Level 4 are very relevant, as the large number of nuclear detonations would kill billions, collapse ecosystems, and cause catastrophic changes to the environment. It would not only threaten human civilization (Level 3), but also wipe out many, many species (Level 4). It could even wipe out humans (Level 5). Thus, to preserve Level 3, Level 4, and Level 5, the action is morally justified.

Example 4: An alien species is about to create a super-massive black hole that will devour millions of galaxies and eventually the whole universe. The only way to prevent this is to preemptively wipe out this alien species.

  • Killing the alien species is against the law, so the action fails at Level 1. Even worse, it would kill an entire species, an act of xenocide, so it fails at Level 4. However, it satisfies the highest objective, Level 6, as it prevents a case where all life in the universe could be destroyed. So, wiping out this alien species is morally justified.

Reasoning

The reasoning for each level is as follows:

  • Level 1 overrides Level 0: The society most likely has a better chance to function  with rules than without rules. This gives it a higher chance to advance.
  • Level 2 overrides Level 1: An individual should be allowed to preserve one’s own life regardless of what other people assert, as long as the individual believes the actions necessary do not contradict any of the higher levels. This is because an individual may discover truth that is contradictory to the rest of the society.
  • Level 3 overrides Level 2: It is justified for an individual to sacrifice one’s own life to improve the quality of living for the species. This increases the chance that the society will be able to preserve itself.
  • Level 4 overrides Level 3: It is justified to lower the quality of living of a species to preserve the diversity of life, i.e., the number of species. This way, if some catastrophe wipes out one species, there are a large number of species remaining to preserve life.
  • Level 5 overrides Level 4: An ecosystem has a better chance to survive if the most intelligent and advanced species is alive. For instance, if a massive asteroid is on a collision path with Earth, it will require Space Age technology (achieved only by humans) to preserve life on Earth, so humans are more important to Earth’s ecosystem than any other species.
  • Level 6 overrides Level 5: It is better for a technologically advanced species to sacrifice itself if it allows life to continue in the universe if life would otherwise be destroyed.

The Role of Knowledge

This hierarchy of morality is strange in that the determination of whether an action is morally justified depends partially on the knowledge of the individual.

For example, suppose that someone were brainwashed when they were young by a society or religion, and that he is led by it to an action that contradicts one of the higher levels. On Earth, for instance, it is common for many of the popular religions to contradict Level 2: Preservation of Self, and Level 3: Preservation of Well-Being of the Species. Level 3 is particularly relevant in today’s age, when the understanding gained from stem cell research, particle accelerators, and evolution have the result of giving life on Earth a much higher chance to survive potential global or cosmic catastrophes.

When someone who is brainwashed by a religion commits an act that contradicts Level 2 or 3, then according to this moral system, the person is not to blame—the fault is with the religion, and with the society for allowing that particular religion to be so pervasive.

Who Exactly to Blame?

Imagine a massive asteroid that will crash into Earth in the year 2050.

At the rate of advancement of our current technology, with a few years of advance warning, we as a species will be able to send multiple rockets armed with nuclear weapons to knock the asteroid off course and save not only our lives, but the lives of all species on Earth, and all of Earth’s children. But say religion had been more prominent and had delayed the onset of the Renaissance and the Scientific Revolution by just 100 years. Then when the asteroid hits, we would only have what we know as 1950 technology, and likely all of humanity, and all life on Earth, could be destroyed. Surely this is not the fault of any person, but the fault of religion.


The corollary to this question is, What if an asteroid had crashed into Earth in the year 1850? There would have been absolutely nothing we humans could have done at that time to stop it. If that were the case, then we could not blame anyone in that time period. Instead, we would blame the Dark Ages, for practically halting the advancement of technology for a thousand years.

Ethics in Religion

If we value life, and if we want life to prosper in the universe, then humanity as a whole needs to adopt a new form of ethics. Maybe not the one above, but it must embrace one that is based on the existence and diversity of life, not based on myths that were invented in an ancient past.

This is why, among religions, a tolerant religion such as Buddhism is better for the future of humanity than an heavily indoctrinated one such as Christianity or Islam. Religions of the latter category only claim to be “tolerant,” but in practice are often not. See Galileo, the Salem witch trials, or the recent anti-free speech protests in the Middle East. These kinds of religions are fundamentally resistant to change. Whereas, truly tolerant religions are always open to change.

If science proves some belief of Buddhism wrong, then Buddhism will have to change.

-Dalai Lama

All the world’s major religions, with their emphasis on love, compassion, patience, tolerance, and forgiveness can and do promote inner values. But the reality of the world today is that grounding ethics in religion is no longer adequate. This is why I am increasingly convinced that the time has come to find a way of thinking about spirituality and ethics beyond religion altogether.

-Dalai Lama

Sure, the less tolerant religions may teach values they consider to be good, but for life to survive, sometimes the rules must adapt. Say a powerful alien species abducts you and gives you two options: (1) to kill a fellow human and the aliens will befriend the human race and help us advance, or (2) to refuse to kill a human but then the aliens will destroy the entire Earth. You could blindly follow “Thou shalt not kill” as in option (2) and let all the millions of species on Earth die, or you could rationalize that the survival of millions of species, including your own, is more valuable than any single individual member of the species, and instead advance life as in option (1).

Some Concluding Remarks

To preserve life and to let it flourish through the stars, and eventually throughout the universe, we must use an ethics system that adapts to the given situation, not one that proclaims to be absolute and forever-lasting.

Some nations, particularly many of those in Europe, have already realized this. When the United States finally realizes this as well—and hopefully before it’s too late—the rest of humanity will follow, and then finally, the human species will be one of progress, discovery, and peace.

Ethical Dilemmas and Human Morality

Decision

Introduction

This article is the result of numerous debates I’ve had concerning ethics and morality. The debates were very friendly in nature, as we tried to pick each other’s brains. Sometimes we agreed on certain situations, other times we completely disagreed. It was very interesting to see the way different people view the world.

Some key information for the rest of the article:

  • The debates were largely conducted by creating hypothetical situations (thought experiments) and asking each other what we would do in such examples.
  • Often when one said X for a situation, we would try to adjust one variable to change the situation slightly, in order to see what exactly in the situation was important. This is sort of like the scientific method applied to ethics.
  • Most of the group was not highly religious. This post is written by an atheist.
  • The group consisted of Cornell students.
  • There was no name-calling or mocking in the debates. Disagreements were handled with civility.

Situation 1: The iPhone Return Dilemma

This is based on a real-life example. I could simply the situation considerably, but because of the reality of it, I am including all the important details.

Suppose your income was largely based on buying and reselling iPhones for higher prices. That is, you could buy an iPhone for $400 and resell it on eBay for $800 to someone in a country where the iPhone is not sold.

Now, someone in South Africa buys your iPhone. There is a 14-day return policy; however, this 14-day count starts the moment the transaction is made. The iPhone takes 22 days to ship from the USA to South Africa. The buyer is aware of this. But when the iPhone arrives, the buyer finds that the iPhone does not work, and takes it to a local repair shop. The repair shop opens up the iPhone but cannot make it work, because the iPhone simply doesn’t work in South Africa. Five days after he receives the phone, the buyer emails you, demanding a refund.

Since it is now 27 days since the transaction, or 13 days past the return deadline, you do not respond to the email. The buyer opens up an official return investigation on eBay. A week later, eBay rules in your favor, stating that you are not obligated to provide a refund.

Now, without informing you, the buyer had shipped the iPhone back to you in the middle of the eBay investigation. Three weeks later, the iPhone arrives on your doorstep, a complete surprise for you. Five days later, the buyer emails you. He knows that eBay ruled in your favor, so instead of asking for the $800 back, he asks for the iPhone back. Since he voluntarily shipped you back the iPhone, it is legally yours.

Questions

1. You are not legally obligated to return $800 or the iPhone. However, are you morally obligated to do so?

2. Would you return the iPhone?

3. The shipping fee from USA to South Africa is $100. If you do feel obligated to return the iPhone, should you pay the $100 shipping fee or should you ask $100 from the buyer in South Africa to provide it?

4. If you choose not to return the $800 or the iPhone, then who is to blame for the buyer’s loss? Is it your fault or his own fault?

5. Instead of an $800 iPhone, what if the item cost $5 or $100,000? How would this affect your responses?

Situation 2: The Million Dollar Button

From this point on, all situations are strictly hypothetical.

You are in a room with a button. If you press the button, a random person in the world dies, but you gain one million dollars. Nobody else in the world knows about this room or the button, and nobody would know that you pressed the button.

This situation completely shocked many of us when it was first asked in the debate. Most people’s gut instinct was to say, “Of course not!” But is that actually what people would do? People might say “No” to maintain their reputation in a public setting, but deep down, would their answer be “Yes”?

Questions

1. Would you press the button?

2. Suppose you know 5 people who are homeless and jobless. If you press the button, you could give them $200,000 each. Would you press the button?

3. Instead of one random person in the world dying, one random convicted criminal in  the world dies. Would you press the button?

4. Instead of one million dollars, you gain one billion dollars. You could donate massive amounts to charities and fund scientific research to cure diseases. Would you press the button?

5. Instead of a random person dying, a random person goes into a coma for a month. Would you press the button?

6. If the answer to any of the questions was yes, then how many times would you press it?

Situation 3: The Doomsday Asteroid

In the future, there is a nuclear-powered manned spaceship in the outer solar system. Scientists detect an asteroid heading to Earth that has a 100% probability of impact. The asteroid is large enough to annihilate all of human civilization, kill billions, and set back humanity to the Stone Age. The only way to deflect the asteroid before it gets too close is to have the crew of the manned spaceship suicide the craft into the asteroid and blow it up with nuclear power. There is one person on the ship.

Questions

1. If you were the captain of the ship, would you be morally obligated to send the ship into the asteroid?

2. Suppose instead you are the director of NASA, back on Earth. The captain on board the ship refuses to impact the asteroid, even though it is the only hope to maintain current human civilization. You can issue an order to the ship itself that places the ship on computer autopilot, so that the captain cannot control the ship. Should you autopilot the ship into the asteroid?

3. Suppose that, at the time of the decision, there is only a 10% probability of the asteroid hitting Earth. However, we will not know for certain whether it will happen until it gets close enough to be unstoppable. Should the captain preemptively suicide him/her-self into the asteroid, before it gets close enough?

4. Suppose that the asteroid is large enough to annihilate not only human civilization, but also all life on Earth. Does this change the answer to any of the other questions?

5. Suppose that instead of there being 1 person on board, there are 1,000 people aboard that spaceship. Does this change any of your answers?

Situation 4: Alien Attackers

You are the president of the United States. An advanced alien race is about to attack the Earth, but before they do, they snatch you on board and give you two options. Option 1 is for you to kill half of humanity, and the aliens will leave Earth alone. Option 2 is to let the aliens destroy all of humanity. There is no hope of beating the alien technology.

Questions

1. Which option would you take?

2. Suppose Option 1 were, instead of you killing half of humanity, you let the aliens kill half of humanity. Does this change the answer?

3. Suppose Option 1 were, instead of half of humanity, 99% of humanity. Does this change the answer?

4. Suppose Option 1 were, instead of half of humanity, 1% of humanity. Does this change the answer?

5. Suppose human technology is actually far more advanced than it is now, and the best human military analysts claim there is a 5% chance to repel the alien attack if they attempt Option 2. Which option do you take?

Situation 5: The Million Dollar Button, Version 2

The following is the same as Situation 2: The Million Dollar Button. However, the variations are different.

“You are in a room with a button. If you press the button, a random person in the world dies, but you gain one million dollars. Nobody else in the world knows about this room or the button, and nobody would know that you pressed the button.”

Questions:

1. Instead of a random human in the world dying, a random dog in the world dies. Would you press the button?

2. Instead of a random human, it is a random cat. Would you press the button?

3. Instead of a random human, it is a random fly. Would you press the button?

4. You are not the one pressing the button. Someone else is pressing the button, but you have a special button that electric shocks the other person, stopping them from hitting their button. Supposing you know the other person is just about to press the button, should you push your special shock button?

5. When you press the button, a random person in the world dies, but you gain one million dollars AND a random person in the world who has cancer is suddenly cured of cancer. Would you press the button?

6. If you said no in the previous case, what if 100 people were suddenly cured of cancer?

Results

Some people had a view that it is always wrong to take away someone’s freedom. Such people of course said “No” in the button example, but surprisingly, they also said “No” in the spaceship example with the NASA director. They said that if the crew refused to crash into the asteroid, it is wrong for someone on Earth to force them into doing so, even if it is the only way to save humanity.

Some, especially religious people, were okay with pressing the button because they viewed humans as “inherently evil,” so they had no problem terminating a random human’s life. I personally found this view to be quite scary!

1. The iPhone Return

Everyone agreed that you are not morally obligated to return the $800. However, there was disagreement over whether to return the iPhone back to the buyer. Those claiming there is no moral obligation used the argument that the buyer should have been more careful with money, while those claiming there is a moral obligation used the argument of intention, that the buyer did not intend to just give back the iPhone for no refund.

2. The Million Dollar Button

Depending on the situation, most people found some case where it was justifiable to press the button. As said above, some religious people justified it by saying humans are “inherently evil.” Those of a utilitarian view justified it by saying the million dollars could go towards good purposes and advance the human race better than an average person could.

3. The Doomsday Asteroid

Most people agreed that in almost all cases, the ship should crash into the asteroid. To my surprise, there were people who said that even if the asteroid were guaranteed to wipe out all life on Earth if it hit, that if the captain refuses, NASA should not force the ship via autopilot to crash into the asteroid. I view this as a human imperative. Not only would we be ending our own species, but also millions of others on Earth. The survival of millions of species is far more important than the decision of one individual of one species.

4. Alien Attackers

There were people who  preferred letting all of humanity be killed by the aliens than to kill half of humanity. The decision for them rested in who was doing the killing. So when the question was rephrased to letting the aliens kill 50% of humanity vs letting the aliens kill 100% of humanity, the answer was unanimously let the aliens kill 50%. But when we ourselves were killing 50%, some people would rather let the aliens kill 100%.

5. The Million Dollar Button, Version 2

Most were more likely to press the button in the animal case than in the human case. However, there were some who would rather a human than a dog die. These were the same people who, in situation #2, claimed that it was justifiable to let a human die because humans are inherently evil. They claimed that dogs are not inherently evil, and so would not press the button in the case of a dog.

My Own Perspective

Overall I think the survival of the species is more important than the life of any one particular individual of the species. I may have hinted at this a few times in the article. But I will write a post specifically on my own views of morality later on.

What would you do in these situations?

Why Math?

As a math major, I am often asked the question, “Why math?” In particular, why theoretical math, when it doesn’t seem to be related to anything?

I often have trouble coming up with a full and satisfying answer on the spot. Math is one of the subjects whose material and categorization can be confusing. It spans several fields that many have not even heard of. When I say “topology” or “analytic number theory,” it often draws blank stares; in fact, topology is often misunderstood as “topography,” the study of terrain.

Well, here is my more thought-out answer to why I study math.

Is It Relevant?

Take a good look at the following equation:

\displaystyle \sum_{n} \frac{1}{n^s} = \prod_{p} {\frac{1}{1 - \frac{1}{p^s}}}

Through the cryptic jumble of symbols, you might ask yourself, how is this useful?

An even more relevant question for most readers is, what does it even mean?

As it turns out, this particular equation has very little practical value. Yet it is one of the most fundamental equations in the field of analytic number theory, and it is a remarkable statement about the prime numbers.

It basically links the infinite set of natural numbers (1, 2, 3, 4, 5,…) with the infinite set of prime numbers (2, 3, 5, 7, 11,…). The proof is relatively simple, but I am not going to give it here. It is known as the Euler product formula.

There is virtually no “useful” information given by this highly abstract formula. It doesn’t help with daily finance. It doesn’t solve traffic congestion. It doesn’t even help in landing a rover on Mars. But it does is provide us with an insight into the fundamental truth of nature. In a way, this equation exceeds the known universe, as according to current theory, the universe is finite. The equation, by contrast, deals with the infinite.

In fact, modern mathematics is full of statements and theorems that have currently no practical use. There are entire branches and fields of study that are, in essence, useless. Sometimes, useless things have applications in the far future. Complex numbers, for example, were invented centuries ago, but didn’t really find any use until modern electronics and physics were developed.

Maybe everything we know today in math will be applied somehow. But this cannot happen forever. The universe is finite, after all, and knowledge is infinite. Sooner or later, or perhaps even now, we will have found knowledge that serves no use in our universe. This leads to the next question.

Is Knowledge Worth Seeking?

Should we seek knowledge for the sake of knowledge?

Is a culture with more knowledge inherently richer than one without?

Historically, knowledge in the form of technology had the power to save oneself, one’s family, and even one’s country. Entire civilizations were wiped out due to the technological superiority of the invaders. Knowledge has for a long time acted as a defense tool.

So perhaps we should embrace new knowledge for the sake of defending against a future alien force. But what about afterwards?

Assuming humans survive long enough to establish a galactic presence, and have enough technology to be virtually indestructible as a species, so that survivability is no longer an issue, what will be the point of further knowledge? What will be the point of knowledge for the sake of knowledge?

That picture above is the Mandelbrot set, a fractal generated by the fairly simple quadratic function

z \mapsto z^2 + c

where c is a complex number.

There could easily be no purpose to this fractal, yet it certainly holds some value. It is aesthetically pleasing, and the ability to zoom in on the image forever raises some old philosophical questions. In this sense, it is almost like art, only the rules are completely different.

In essence, knowledge for the sake of knowledge is what math is all about. There is no intrinsic need for math to apply to the real world, nor does any topic in mathematics need an analogy in real life. Math is knowledge at the abstract level.

Recently someone asked me what classes I was taking, and when I mentioned topology, he asked if that was a map making course. Topology and topography sound quite similar, I suppose.

In any case, topology is a great example of what pure math is about. It is the underlying foundation behind geometry. Geometry is highly applicable in real life, because shapes, sizes, and angles of things all affect the way they work. But in topology, sizes and angles do not matter. A line is the same thing as a curve, a square is really the same thing as a triangle or a hexagon, and a sphere is really the same thing as a cube or amoeba.

And a donut is really the same thing as a coffee mug.

These fields of math are totally alien to the math taught at the pre-college level. Geometry, basic algebra, and calculus are about sizes of things and comparing objects to determine their shapes, lengths, volumes, etc.

But when you get to the higher fields, such as analysis, number theory, abstract algebra, and topology, everything completely changes. They feel like entirely different subjects than the math taught in middle school and high school.

Previously, you were told that dividing by zero is impossible and that it is pointless to think of infinity. But in complex analysis, you can actually “cancel out” zeroes and infinities provided certain properties are counted, and you actually care about where functions hit infinity and how often they do so. And in set theory, you discover that there are actually different sizes of infinity. These facts are much more interesting than, say, the quadratic equation, which is taught in every high school algebra course.

The fact that zeros can actually cancel out infinities, or that there are different sizes of infinities, is much more interesting than such a formula.

This graph, showing a region of the gamma function, generalizes the notion of factorial (i.e., 5! = 5 * 4 * 3 * 2 * 1) to complex numbers.

The gamma function is also closely related to the equation at the very top of the page, with the natural numbers on one side and the prime numbers on the other. Those two expressions also define the Riemann zeta function.

You might be able to see some relation between the two images. It turns out that the trivial zeroes of the zeta function, which can be seen as the strange color mismatches on a line going from the center to the left, are the result of the poles of the gamma function, which are the vertical spikes in the other picture.

Basically, that is why I study math. The point is not to memorize formulas or to calculate quickly. It is to discover fundamental truths out of ridiculous-sounding things, and to make sense out of them. In a way, this is what people do in other academic fields as well. Sometimes math goes over the top and seems completely useless. This is bound to happen. But some things, like art and mathematics, don’t need a practical purpose to exist. Such things are valuable in their own right.

Is the Afterlife the Only Motivation?

I was recently debating against someone the concept of motivation. What makes us live our lives the way we do? Why do we follow laws and social norms? Why fundamentally do we buy things and not steal?

My side of the debate was that there are many sociological factors at play. I won’t go into detail, because sociology isn’t the topic of this post. The topic is the concept of the Afterlife, a life that supposedly happens after our own.

The person against whom I was arguing claimed that all motivation to live decently, or even to live at all, comes from the rewards in the Afterlife. He pretty much stated that the only point in life is to prepare for an Afterlife.

This may indeed be true for religious people, I conceded. But then I asked him, What about atheists? If the Afterlife is the only motivation, then why don’t atheists just all commit suicide because there is no point in life?

My opponent replied that he himself is an atheist, but he does believe in an Afterlife. Just not a religious version.

So my question back to him was: What about atheists who don’t believe in an Afterlife? What motivates these kinds of people? What keeps them going?

His conclusion completely shocked me: if it were the case that there is no Afterlife, then he would commit suicide.

The reason this debate got interesting is that I myself am an atheist who doesn’t believe in any afterlife. I believe that the human conscience is a byproduct of chemical processes occurring at rapid rates in the brain. Of course, science does not yet fully understand the brain. But still, there is no evidence to support that there is something special about conscience that cannot be explained by natural processes.

In this view, that conscience is the result of emergent properties from chemistry, once a person’s brain activity ceases, their conscience goes away. It doesn’t have to go somewhere else.

An analogy is that if you put out a fire, it’s gone forever. Relighting it doesn’t create the “same” fire as you had before. Once the fire is put out, it exists only in the past. Sure, it may have left behind evidence that it was there, just as humans leave behind legacies.

Looking at biology, we see no solid afterlife for there to be an Afterlife. The reason so many people believe in one, I’d argue, is due to societal reasons.

Historically, the belief in the afterlife has largely been to give someone a reason for obeying someone else, or for behaving themselves in certain ways, in order that a society can function.

In ancient societies, how do you get people to obey a ruler? You create a religion that makes the ruler’s power come from a higher power, so that nobody may question him.

How do you get the slacker to work, the thief to lead a noble life? Tell him that if he performs well this life, he will be rewarded the next, and that if he does wrong this life, he will suffer eternal torment. Historically, this is how human civilization came to be.

So what then?

Since ancient times, humans have had a dependency on religion. NewScientist had a pretty good article a while ago explaining how civilization pretty much depended on the unifying power of religion to start off.

Nearly all major religions say there is an afterlife, and most have some saying about what it is or how to live this life to better live in the next. The Ancient Egyptians built enormous tombs for their rulers so that they would be better off in their next life.

However, my question to this is: Is the afterlife necessary once a civilization is sufficiently developed?

That is, if we suppose we don’t annihilate ourselves on this planet, and when eventually we humans will be a space-faring species capable of interstellar and maybe intergalactic travel, are we still going to rely on religion? Or is there some point where we will get past it as a species?

Will we ever be able to unify for some other purpose than believing ancient myths? I think so. I predict that when humanity begins to colonize other worlds, religion shall be only a dusty exoskeleton shedded off by knowledge. It shall be but a legend of the past.