Are We Living In Nick Bostrom’s Speculation

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    Are We Living In Nick Bostroms Speculation?

    Danila Medvedev

    [email protected]

    Lappeenranta

    2003

    The rapid development of computing technologies can make

    possible realistic computer simulations inhabited with

    intelligent humans. The Simulation Argument, proposed by Nick

    Bostrom[1] in the article Are You Living In a Computer

    Simulation, states that if such simulations will be created by us

    or our descendants, then we almost certainly live in a computer

    simulation. This paper analyses serious mathematical and

    logical errors in the Simulation Argument. It follows that the

    Simulation Argument is incorrect and the reality of our world

    remains a question of individual beliefs.

    I. Introduction

    The idea that our world might be a computer simulation is a

    relatively recent one. The first ideas of full reality simulation

    appeared only about 20 years ago. In 1989 Jaron Lanier coined

    the term virtual reality, but only since 1990s it became

    conceivable that a whole world could be simulated. Computer

    games, especially 3D ones, such as Doom, Quake and many

    more recent titles, showed how the world (or at least a large part

    of it) could be recreated on the computer monitor. Several

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    science fiction movies made in the end of 1990s and in the

    beginning of the 21st century elaborated on these ideas,

    developing some of the philosophical consequences of

    simulations and, more importantly, communicating them to the

    wide audience for the first time.

    Abre los ojos (Open Your Eyes), 1997 [2] The maincharacter in this movie signed a contract with a cryonics

    company. After his death his body was frozen and his

    mind placed into a computer simulation. In this story, the

    personalities of all humans are simulated only to the extent

    necessary for their interactions with the main character.

    For example, one of the secondary characters, apsychiatrist, has two daughters, but does not know their

    names.

    Dark City, 1998 [13] This movie was also a mysterythriller, hence it showed a more mystical picture of the

    world and never explained the mechanism of the

    simulation. However, it led to the Matrix and The

    Thirteenth Floor films, which developed the idea of world

    simulation more rigorously and in more details.The Matrix, 1999[2] [8] In this film most of the humans are

    connected to the large computer simulation (the Matrix)

    from birth, but they do not know about it, unless someone

    from outside the simulation can tell them the truth. The

    machines that run the simulation can make arbitrary

    changes to the simulation in real-time. Humans from the

    real world can be inserted into the simulation as new

    people. The Matrix became the first widely known filmabout simulation and it introduced many people to the

    ideas of simulated realities for the first time.

    The Thirteenth Floor, 1999 [13] This movie introduced theidea of nested simulations and travel from one level to

    another. A simulation of the early 20th century city is

    developed in a computer company (in the end of 20th

    century). It turns out later that the real world is in fact also

    a simulation, run from what appears to be 21st or 22nd

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    century. Characters can enter the simulation (or exit it)

    only by being inserted into the body of existing human.

    Vanilla Sky, 2001 [15] This is an American remake ofAbre lost ojos. The story has not changed much and basic

    scientific and philosophical premises behind the story are

    also the same.

    An interesting theme that is present in The Thirteenth Floor, The

    Matrix and Dark City is the idea of limited size of the simulated

    world and of people coming to the literal end of the world (also

    happens in The Truman Show, 1998) and perceiving the limits.

    In addition to being presented in popular culture, these ideas are

    being pursued by professional philosophers now. Thephilosophical ideas behind The Matrix are further developed in

    the Philosophy of the Matrix section of the film website [12].

    But the most profound development related to these ideas was

    the controversial theory, known as the Simulation Argument.

    The main idea of the Simulation Argument, as proposed by Nick

    Bostrom [1] is that if we dont think that we are currently

    living in a computer simulation, we are not entitled to believethat we will have descendants who will run lots of such

    simulations of their forebears.

    This idea was further developed in the works of Robin Hanson

    and Barry Dainton. In his paper How to Live in a Simulation [7]

    Hanson gives some recommendations on optimal behaviour for

    people who believe that they might be living in a simulation.

    Unfortunately, his ideas are based on the wrong premises (aswill be shown in this paper) and his suggestions are far from

    rational and effective. For example, at one place Hanson

    speculates that simulations [might] tend to be ended when

    enough people in them become confident enough that they live

    in a simulation and therefore you might want to prevent too

    many others learning that they live in a simulation [7]. This is

    nothing more than a random speculation, demonstrating

    disregard for likelihood, internal consistency and rationality ofthe hypotheses. It could very well be possible that when enough

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    people realise that they live in a simulation, they will be taken to

    the real world and simulation will be stopped. Later Hanson

    suggests that seeking people who might be visitors from the

    outside and making them interested in you can be beneficial. He

    completely ignores a just as likely possibility that our world is a

    GTA[3]-like game. Such speculations clearly have no use

    except to satisfy peoples curiosity and entertain them.

    In Innocence Lost: Simulation Scenarios: Prospects and

    Consequences [2] Barry Dainton introduces several new

    concepts, such as different modes of virtual life. Then he makes

    the simulation argument in a way similar to Are You Living In a

    Computer Simulation?, making the same mistakes. In the end ofthe article he discusses several possible ethical arguments

    against our simulation:

    1. The Objection from Lesser Value simulations shouldnot be created because life in a simulation is inherently

    worse than life in reality.

    2. The Deception Objection simulations should not becreated because it involves mass deception.

    3. The Self-Interest Consideration simulations should beprohibited to be sure that you are not in a simulation

    yourself.

    The first two arguments are worth considering, but the last one

    is clearly invalid, as it also suffers from the causation error and

    circular reasoning fallacy.

    The simulation argument is closely related to one of thefundamental questions of philosophy the choice between two

    alternative world views, materialism and idealism. The

    distinctive feature of the simulation argument is that some of its

    aspects are materialistic and some agree with objective idealism.

    In particular, the idealistic concept of the first cause reflects the

    start of the simulation by its creators and the concepts of ideas

    or ideal numbers corresponds with the simulation as a

    computer program. The materialistic beliefs that the world isunderstandable and that our senses reflect the reality accurately

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    are wrong. Simulation is the world that has been pulled over

    [mans] eyes to blind [him] from the truth [8].

    It can be said that overall the metaphysical nature of the

    simulation, as observed by its inhabitants is mostly idealistic. Atthe same time, from the point of view of the creators of the

    simulation, its nature is materialistic. The consciousness (and

    intelligence) of a simulated human is the emerging property of

    computer components, highly organised by means of complex

    software programs. The base reality itself (and therefore the

    metaverse) can be materialistic in nature.

    Unfortunately, all papers on the topic of simulation argumentlisted above contain a number of similar errors, namely circular

    reasoning, auto-reference, ignoring observational bias, causality

    errors and disregard for the control of the simulation by its

    creators. The existing critique of the simulation argument

    usually ignores the most serious errors and concentrates on

    particularities. The level of logical argumentation is usually low.

    I was not able to find any articles with a comprehensive analysis

    of the simulation argument.

    In this paper I provided a detailed analysis of the simulation

    argument, demonstrated the logical errors in the original

    reasoning, suggested several alternatives to the simulation ideas.

    I also examined the ethical principles of posthuman civilisations

    in regards to running simulations and formulated several

    hypotheses about these principles that are not dependent on

    qualities of our own civilisation.

    Based on the conducted analysis it can be concluded that the

    simulation argument is wrong. It seems to be impossible to

    avoid logical mistakes made by Bostrom. It has to be admitted

    that the reality of our world is still the matter of individual

    belief. At the same time, the reality of our world does not

    impose any limitations on the prospects of technological

    development, the possibility of reaching the posthuman stageand creating ancestor simulations.

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    In the first part of this paper I provide a summary of the original

    paper by Nick Bostrom and list the tacit assumptions of the

    simulation argument.

    In the second part I examine the main formula for calculatingthe probability of living a simulation is and demonstrate

    calculation errors made by Bostrom.

    In the third part I discuss the logical mistakes in the simulation

    argument. In this part I also demonstrate the inconsistency

    between Bostroms arguments and the scientific approach.

    In the fourth part I give independent arguments against us livingin a simulation that are not related to the errors in the original

    paper.

    In the last part I comment on Bostroms original interpretation

    of the simulation argument. I propose the idea that simulations

    are fully controlled by the creators.

    Definitions

    In this paper a number of special terms related to the problem of

    world simulations are used. Terms suggested by other authors

    are used in their original meanings.

    Posthuman civilisation a civilisation of human descendants,

    who were changed to the degree when they no longer can be

    considered humans. A posthuman civilisation would probablypossess advanced computational technologies, nanotechnology,

    strong AI technologies and many others.

    Simulation a computer program modelling in some form the

    intelligence and/or consciousness of one or several people, as

    well as a physical environment that they can interact with.

    Realistic simulations model the environment similar to the real

    world.

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    Ancestor simulation a simulation of a part of past human

    history.

    Base civilisation a civilisation that exists in the real world

    and not in the simulation.

    First-level simulation a simulation run by the base

    civilisation.

    Parent civilisation (with respect to some simulation) the

    civilisation that runs this simulation.

    Metaverse a hypothetical set of all existing universes. Thisset includes all basic realities, as well as all simulations run

    from any of the universes (both real and simulated) in this set.

    II. Overview of the original article

    In the first part of the paper (The Assumption of Substrate-

    Independence), Bostrom describes the prerequisites for the

    simulation argument. He first outlines the assumption ofsubstrate-independence, the idea that it is not an essential

    property of consciousness that it is implemented on carbon-

    based biological neural networks inside a cranium and that

    mental states can supervene on any of a broad class of physical

    substrates [1]. Although no references are provided and the

    issue is not discussed at length, it appears consistent with

    current scientific paradigms in the computer science and

    biological sciences. There have been some opposition to thisidea from Roger Penrose [7] and a few other authors, who

    suggested that consciousness is possible because of specific

    quantum mechanisms in the human brain that cannot be

    reproduced on other substrates, but these ideas are not accepted

    by most of the scientists in these fields.

    In the next section (The Technological Limits of Computation),

    Bostrom gives a detailed analysis of the computationalrequirements for the simulation of human mind and entire

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    civilisations. The most important indicators are the following:

    Computational complexity of the human brain: ~10161017operations per second.

    Maximum human sensory input: ~108 bits per second.Computational cost of the realistic simulation of human

    history: ~10331036 operations.

    Computational power of a nanotech-based computer: 1021operations per second per cm3.

    Maximum computational power per 1 kg of mass: 5*1050operations per second.

    The estimates he provides appear sound and well-grounded.

    It must be noted, however, that this analysis is irrelevant to the

    simulation argument. As will be explained later, only capacities

    of the base civilisation are significant. If we assume that we

    might live in a computer simulation, only the capacities of the

    parent civilisations are important, but there is no way to

    determine them.

    In the main section (The Core of the Simulation Argument),Bostrom suggests a formula for calculating the probability for a

    random person to live in a simulation. He concludes that at least

    one of the following propositions must be true[4]:

    Share of civilisations that reach posthuman stage is close tozero.

    Share of posthuman civilisations that are interested in runningancestor-simulations is close to zero.The majority of people live in one of the simulations.

    There are a number of serious mathematical errors in this

    section. In addition, Bostrom makes several unwarranted

    assumptions about variables used in these formulas. A detailed

    explanation of these errors will be provided in part 3 of this

    paper.

    In the next section (A Bland Indifference Principle), Bostrom

    explains and justifies the logic behind his calculations and

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    attempts to show that selecting a human from our world can be

    considered random for the purposes of the simulation argument.

    It is in this section that the major errors are made, including

    using a false analogy in the example about DNA. Part 4 of this

    paper deals with the reasoning errors in the simulation

    argument, uncovering a fallacy of circular reasoning and other

    mistakes. Additionally, in part 5 several reasons are given

    against simulating a world similar to our own.

    Finally in the last section (Interpretation), Bostrom gives various

    explanations for the formulas derived in the main section. The

    main mistake done there is ignoring the fundamental difference

    of the simulations that they are primarily governed by thesimulators and only secondary by various laws designed for the

    simulation. In part 6, the errors in the interpretation are

    explained.

    Necessary assumptions

    The original paper introduced certain basic ideas about

    substrate-independence and computation possibilities, but failedto mention necessary philosophical and world view assumptions

    necessary for the simulation argument. Below, I try to provide

    the most important hypotheses that should be true in order for

    the simulation argument to be valid and logical.

    1) There is a basic reality. Without it, the whole discussion

    about realities and simulations would be pointless. We must also

    note that assumption about reality existence is on a level similarto the question of whether our universe is real or just a

    simulation.

    2) It is possible to run a world simulation inside a reality. In

    the original article this hypothesis was just taken for granted by

    the author without even mentioning it. However we do not have

    sufficient experience with simulations to be able to prove that a

    simulation indistinguishable from the reality can be created atall. The best simulations to date are modern computer games

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    and movies, but even the most advanced of them are only

    partially realistic. Bostrom refers to the works of Drexler and

    Kurzweil, but these authors mostly discuss the technical aspects

    of reality simulations and not philosophical aspects of such

    possibility.

    3) There are no simulation cycles, where some sequence of

    nested simulations ends up with the original reality or part

    of it. If cycles were possible we would be left without real

    criteria for defining the world a simulation. Moreover, in such a

    case our conception of reality would be shattered strongly

    enough to make the simulation argument irrelevant.

    4) The complexity of the simulation is less than the

    complexity of the parent universe. This follows from the

    mathematical principles of information encoding. The

    importance of this assumption is that it leads to objective

    differences between simulation on different nesting levels and

    between simulations and reality.

    5) The laws of logic and mathematics are absolute. If it is notso, than it might be possible that the law of excluded third and

    other laws of logic are false in our universe and simulation

    argument (just like any other argument) is inherently invalid. It

    must be noted that it is entirely possible to run a simulation

    where logic does not work from a logical world.

    6) There are a finite number of simulations. The simulation

    argument relies heavily on calculations of probabilities andaverage values for all universes. If there are an infinite number

    of simulations (or an infinite number of universes), such

    calculations are no longer valid.

    Additionally, the simulation argument implies several less

    general assumptions about the metaverse.

    1. The base reality contains at least one human civilisation.2. A human civilisation has non-zero probability of

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    becoming a posthuman civilisation. (No distinction is

    made in simulation argument between those civilisations

    that can become posthuman and those that cannot.)

    3. A posthuman civilisation has non-zero chances to launchat least one simulation.

    III. Calculation errors in the original paper

    In addition to the logical weaknesses, the formulas that are used

    to calculate probability of living in a simulation have various

    errors and shortcomings. Some of them are not very important

    and do not affect the reasoning, while others are more serious.

    Infinite universes

    One minor error in the formulas concerns a possibility of

    infinite number of civilisations. Frank Tipler [10] have shown

    how infinite computational capacity can be possible near the

    Omega Point, a hypothetical point prior to the Big Crunch

    (collapse of the Universe). Other scientists [16] extended this

    theory to the possibility of thermal death of the Universe

    (another possible outcome the infinite expansion). If infinite

    computational capacity is possible, all variables used in the main

    formula (fP, and ) are invalid. This does not invalidate the

    simulation argument, as the formula can easily be expanded to

    cover the case of infinite number of simulations, but it might

    affect some of the corollary arguments. A stronger objection is

    the possibility of multiple universes in reality (not being

    simulations) or multiple human civilisations in the base physical

    universe. This leads to a wide range of possibilities, such as:

    The posthuman stage will only start after most of the humancivilisations on different planets meet together (see below

    the arguments about posthuman stage being in the far

    future). This allows a larger number of real humans than in

    the case of one real civilisation and the same number of

    simulated realities.

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    Depending on the nature of the multiple universes, thedifference between civilisations simulated in different

    universes might be negligible (see below arguments about

    identical people in simulations), while the difference

    between real civilisations in different universes is large

    enough. By considering several simulations to be just

    instances of the same one we reduce the number of

    simulated humans. Real humans, on the other hand, are

    still different in different universes.

    Another aspect of using average values that Bostrom ignores is

    that different civilisations are in different positions. If additional

    assumptions listed above are valid (especially the one about

    decreasing complexity of nested simulations), then those

    civilisations that are deeply simulated (simulated in a

    simulation in a simulation etc.) are less likely to reach a

    posthuman stage (and therefore run simulations themselves). In

    this case, using an average value offP is misleading, because

    there can be observable signs in the world indicating that the

    civilisation is likely to be deeply simulated. We can speculate

    that our ability to think about creating simulations is an

    indicator that we are closer to reality (how close and whether weactually are in reality is, of course, uncertain). Thisisanargument

    (althoughnotadecidingone) againstindifferenceprinciple.

    Number of individuals

    Special attention must be paid to calculating the number of

    individuals with human experiences (). It is possible that even

    though the raw number of simulated people is large, the numberof unique simulated people will be much smaller. There is also a

    possibility that a significant fraction of simulated people is

    fundamentally different from us by lacking self-consciousness.

    Identical people

    In his paper, Bostrom does not mention any reasons for running

    an ancestor simulation, taking the desire to do it for granted.

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    This lack of specific reasons given for running a simulation

    means that currently no specific requirements for the

    simulations are known. Thus it is entirely possible a posthuman

    civilisation that will run many simulations will use identical

    people for these simulations.

    The possibility of having identical people in different

    simulations raises a lot of questions. This is a serious

    complication, because the issue of identity is far from simple

    even in more basic cases. There can be strong arguments both

    for regarding them as a single person and against it.

    These people can have similar, indiscernible or even completelyidentical personalities. The same can be said about their

    experiences. The simulation rules, governing accumulation and

    propagation of changes in time can be designed for the

    convenience of the people running the simulation. There is no

    reason why in a simulation dedicated to the medieval Japan

    people in the rest of the world and in other epochs must be

    different from people in other simulations.

    The consequences of this possibility for the simulation argument

    are not obvious. It is not clear whether these people should be

    regarded as individuals or simply as instances of one individual.

    In the latter case the total number of simulated individuals ever

    can be comparable with the number of real individuals in the

    base reality. This in turn means thatfsim can attain a large value,

    such as 0.5.

    Non-conscious people

    Another possibility that affects the simulation argument is

    simulating non-conscious people. This can be done for ethical

    reasons, because simulating a real world (supposedly similar to

    our human history) necessarily causes harm and suffering for

    simulated people. It can be argued that posthuman civilisations

    will have a deep respect for conscious entities in any form andare unlikely to cause suffering to them unless absolutely

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    necessary.

    These non-conscious people may nevertheless be intelligent. Or

    they may be controlled by the central simulation program and

    have no individual intelligence whatsoever. Bostrom discussesthis possibility, saying The rest of humanity would then be

    zombies or shadow-people humans simulated only at a

    level sufficient for the fully simulated people not to notice

    anything suspicious. He talks about this only in relation to the

    me-simulations, where a small number of people are fully

    simulated and the rest are shadow-people. He then goes on to

    say that this option can be safely ignored because the number of

    people in full ancestor-simulation is necessarily much bigger, aseach one probably includes billions of people.

    Bostrom mentions only one possible reason for creation of

    shadow-people that they might be cheaper to

    simulate than real people. He completely ignores the ethical

    aspect, which will undoubtedly be more important for the

    posthuman civilisation than the material aspects. There exists a

    real possibility that simulations with shadow-people may besufficient for all practical purposes and that posthuman

    civilisation will not want to fully simulate real conscious people.

    The main criteria for allowing the simulation will be the ability

    of the simulated entity to have subjective experiences, including

    ability to feel pain and suffering. If that is the case, then the fact

    that we have conscious experiences proves that we most likely

    do not live in a simulation.

    Errors in the formula

    First, it should be noted that most of the adjustments to the

    formulas used in the original argument do not help to avoid

    circular reasoning and other logical errors. Therefore, only most

    important comments are given about the formulas in this paper.

    Bostrom provides the following formula for calculating theshare of people living in a simulation:

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    (1)

    wherefP is the fraction of all human-level technological

    civilisations that survive to reach a posthuman stage, is theaverage number of ancestor-simulations run by a posthuman

    civilisation and is the average number of individuals that

    have lived in a civilisation before it reaches a posthuman stage.

    Bostrom claims thatfsim is the actual fraction of all observers

    with human-type experiences that live in simulations [1], but

    he is obviously mistaken. The formula, as it is written, makes

    practically no sense. The numerator is equal to the averagenumber of people simulated by one civilisation and not to the

    total number of simulated people (by all civilisations in the

    metaverse). The denominator makes no mathematical sense but

    it is similar to the average number of people living in a

    civilisation and one level below (in simulations run in this

    civilisation). Evidently, the value offP will usually be very close

    to 1, because

    and

    CPH number of posthuman civilisations, Csim number of

    simulations.

    Therefore the value offsim, calculated using the formula (1), will

    be in most cases extremely close to 0.5, which obviously

    contradicts Bostroms conclusions.

    The first necessary change is adding the total number of

    civilisations Cto the formula:

    (2)

    The next problem is that the in the denominator of the formula

    (1) is a wrong value for the number of individuals that have

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    lived in a base civilisation before it reaches a posthuman stage.

    This is a specific number that has nothing whatsoever in

    common with the average value for all civilisations in the

    metaverse. Therefore the next change is a replacement of with

    the new variableHbase, the number of people that lived in the

    base civilisation before it reached the posthuman stage:

    (3)

    A similar problem is that the number of simulations that the

    base civilisation runs is probably different from the average as

    well. An additional variableNbase should be added. Assumingthat the number of individuals in the first-level simulations is

    similar to the average for the simulations, the following change

    should be made:

    (4)

    This formula is more correct than the one suggested byBostrom.However, even with all these changes there is still one

    fundamental problem with the formula. ThefP variable is

    completely irrelevant for the base civilisation. As will be shown

    later, the base civilisation is governed by different laws than the

    simulated civilisations. Since the transition to the posthuman

    stage by the base civilisation is a non-repeating event, whose

    outcome is already determined (although it usually cannot be

    obtained from within a simulation) and which directlycorresponds with the nature of the reality (existence of the

    metaverse). With regards to the base civilisation, instead of

    fPprobability a different variable have to be used that takes on

    the values of 0 (base civilisation reaches the posthuman stage

    and, ifNbase>0, the metaverse exists) and 1 (base civilisation does

    not reach the posthuman stage, there is no metaverse and we live

    in the real world).

    Using the probability term

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    In most of the paper, Bostrom uses the term probability, which

    can be misleading for the reader. In my opinion, a better term

    would be degree of certainty. It is more correct, because

    Bostrom speaks not about repeating random events and finding

    the outcome of the future test, but about deducing whether a

    certain statement about already occurred event is true or not.

    The degrees of certainty can also be calculated using probability

    theory (if they conform to the Kolmogorov axioms), but the

    transition from probabilities to degrees of certainty that Bostrom

    makes when switching from calculating the probabilities in the

    metaverse to applying the found values to our existence is, in

    my opinion, not entirely correct.

    It is also questionable to what extent the probabilities can be

    calculated for the completely deterministic world, such as a

    computer simulation that does not use any input from the real

    world after it is launched.

    Another problem with the use of the probability term is that it

    implies that if the mathematical calculations are correct, then the

    outcome is governed by these probabilities. Degree ofcertainty term, on the other hand, better shows that the final

    answer is very much dependent on the additional information

    that might be missing (as is the case with other philosophical

    speculations about the nature of our world). By using

    probability theory, it is not possible to get any fundamentally

    new information that was not available before (one can only

    modify the form in which this information is presented),

    therefore the answer depends very much on the assumptionsabout the nature of the metaverse that we make (as will be

    shown in the next section).

    Possibility of nested simulations

    Bostrom says: It may be possible for simulated civilisations to

    become posthuman. They may then run their own ancestor-

    simulations on powerful computers they build in their simulateduniverse. [1, p. 9]. Bostrom does not speak about this before,

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    but his earlier calculations actually directly depend on this

    assumption.

    Bostrom claims: Therefore, if we dont think that we are

    currently living in a computer simulation, we are not entitled tobelieve that we will have descendants who will run lots of such

    simulations of their forebears. [1]. But if there are no nested

    simulations than it is only possible to have simulations in the

    base reality and we arrive at completely opposite conclusion. In

    this case if we believe that our descendants (or ourselves) will

    run simulations, we live in the real world.

    It therefore makes sense to examine the probable reasons thatmay cause simulated civilisations to be unable to run their own

    simulations or become posthuman. There are several such

    reasons possible.

    1. It might be too expensive to run a nested simulation(running nested simulations can increase the

    computational cost of the first-level simulation very

    quickly).2. It might be technically impossible due to the laws of

    nature in the simulation.

    3. The parent civilisation may unobtrusively prohibit runningthe nested simulation or even thinking about doing that.

    Since the base reality civilisation will have complete

    control over the simulation, it can easily do that. The base

    reality civilisation may have no interest in having nested

    simulations. Since the purposes of creating simulations areto a large extent selfish, if creation of nested simulations

    does not serve these purposes, the base civilisation will

    have an option to prohibit that.

    In addition to the reasons against allowing nested simulations,

    there are reasons against running simulations of the posthuman

    civilisations in general. They will be examined later.

    IV. Reasoning errors in the original paper

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    The main mistakes in the Bostrom article are related to circular

    reasoning, auto-reference, observational bias and causation

    errors. To sum it in a few words, it is not correct to derive

    anything from our experience if we live in a simulation.

    Circular reasoning

    If we do not live in a simulation, the whole logic of usingfI orfP

    is invalid, becausefsim is precisely zero. We know that we do not

    run any simulations and therefore whole argument is flawed.

    This is a common logical fallacy, known as a circular

    reasoning[5]. It was used, for example, by Rene Descartes to

    construct an argument that God exists, known as the CartesianCircle [3].

    One may object to this by saying that even if we do not run any

    simulations today, there might be simulations run in the future

    and they must be accounted for. Clearly such argument is

    without merit. Taking into account future simulation not only

    makes no sense (if we assume that we live in a real world, the

    simulation argument is useless), but also violates severalimportant philosophical and physical principles. First, it violates

    the causality rules by allowing future events to affect our present

    world. Second, it ignores the fact that uncertainty principle in

    the quantum mechanics makes future effectively non-

    deterministic and it is impossible, neither practically, nor in

    theory to predict what simulations will be run by us in the

    future.

    We can conclude that all probabilities used (explicitly or

    implicitly) in the simulation argument, including the probability

    of our own particular experiences being implemented in vivo

    rather than in machina [1], depend on the qualities of the base

    civilisation and thus on whether we are the base civilisation or

    not.

    Observational bias

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    In trying to guess the nature of the metaverse there is significant

    inherent observational bias that must be accounted for. The

    problem of the simulation argument is that many assumptions

    are made about the metaverse and all simulations based on our

    present experience and the qualities of our civilisation.

    There is no way to predict with confidence what kind of

    ancestor simulations we will create in our posthuman future. It

    might be possible that the transition to posthumanity will only

    happen in hundreds of thousands of years and most of the

    simulations will cover 1000th century and beyond. It is entirely

    possible that if extraterrestrials land on Earth and give us

    everything necessary to become a posthuman civilisation, wewill all change ourselves to become alien posthumans (because

    the knowledge and technologies are alien, not human). We will

    then have no reason to create ancestor simulations that look like

    our 20th or 21st century, instead we will create simulations of

    alien ancestors. There are countless other possibilities.

    It is even less possible to predict the nature of the base

    civilisation if we are not it. We have as much chances doing itcorrectly as a monster from Quake correctly guessing what kind

    of world Quake was programmed in.

    Bostrom indirectly assumes the existence of the metaverse and

    then draws his conclusions about the probabilities, but the main

    premise of metaverse existence is not proven. The main problem

    of the simulation argument is that to know whether we live in a

    simulation or not is important in order to define the rules of themetaverse. This in turn is used to calculate the probabilities of

    living in a simulation. But if the argument bases the conditions

    of the experiment on its outcome, it cannot be valid.

    If we live in a simulation, then we do not define the rules of the

    metaverse. Then any arguments such as there are certainly

    many humans who would like to run ancestor-simulations if

    they could afford to do so [1] are flawed. The moral, the lawsof nature, the concepts of consciousness, everything is defined

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    by the original civilisation. And if we are not it, there is no way

    we can be sure about anything in the metaverse.

    The effects of observational bias are not discussed in the

    original paper. Bostrom completely ignores the impossibility ofdeducing the nature of the metaverse from within a simulation.

    Unscientific approach

    In addition to the logical mistakes described above, there can be

    some confusion about what the simulation argument actually

    proves. As was shown above, it necessarily makes the

    assumption of metaverse existence. Therefore we can say thatthe simulation argument helps to determine where (in a

    simulation or in a real world) a random person is, given that his

    world is a part of the metaverse. The simulation argument

    cannot be used to tell whether the metaverse exists and therefore

    does not provide even the slightest hint as to whether we live in

    a simulation or not.

    Even if our civilisation is likely to get capacity and desire to runsimulations in the future, it says absolutely nothing about our

    own origin. To put this into perspective, there are many

    alternative hypotheses about the origins of our world: creation

    by one of many gods, the Big Bang, living in a simulation, etc.,

    and simulation argument does not help to make a choice

    between them.

    While there is evidence to support some of these hypotheses(most notably, the Big Bang), there is no evidence to support or

    refute the simulation hypothesis. The only evidence available to

    us at this time the subjective experience of our existence in

    this world is predicted equally well by the hypothesis that we

    live in a simulation, as it is by the hypothesis that we live in a

    real world. Philosophy or science in general do not allow

    unwarranted assumptions about the nature of the world. We can

    only judge the validity of these hypotheses by accumulatingadditional evidence, not by using preconceived ideas about the

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    world.

    There may be some possible ways to determine the nature of the

    metaverse or to test whether we are in a simulation or not from

    within a simulation. But it is also possible that such informationcan only be introduced to our world externally (or cannot at all

    if we are living in a real world). This is closely related to the

    idea of auto-reference or the ability to independently and clearly

    perceive yourself. A detailed explanation of the issues related to

    auto-reference can be found in Gdel, Escher, Bach. The Eternal

    Golden Braid by Douglas Hofstadter [5].

    Another important implication of the scientific approach is thatuntestable hypotheses should be ignored. S. Novella [13] asks

    What can a scientific sceptic say about such claims? Only that

    they are outside the realm of science, and that science can have

    only an agnostic view towards untestable hypotheses. For this

    reason whether we live in a simulation or not should be a matter

    of personal belief, not scientific enquiry, unless additional

    evidence is uncovered.

    V. Arguments against the simulation hypothesis

    In addition to uncovering logical errors with the simulation

    argument, it makes sense to point out several factors that can

    affect whether we live in a simulation or not. They all have in

    common an assumption that our civilisation might have some

    special qualities that are unlikely to be present in a simulated

    civilisation.

    There are no reasons to be sure that the suggestions listed below

    are correct. Still, they are interesting, because they do not

    depend on the characteristics of our reality and are determined

    purely by universal qualities of a posthuman civilisation capable

    of running simulations.

    It is possible that our time is usually not particularly interestingto simulate. There can be various reasons:

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    globalised world is less interesting than national and localsocieties

    the 20th-21st century technological society is still tooprimitive to be worth simulating

    simulating large populations have no real benefits as opposedto smaller ones

    multi-cultural civilisations are too random and simulatingthem has no practical purpose.

    If any one of these reasons is valid, the fact that we live in early

    21st century means that our world most likely is a real one.

    Another very likely possibility is that posthumans do not run

    simulations with conscious individuals for moral reasons (asdiscussed earlier), instead replacing them with intelligent, but

    non-conscious entities. In this case the fact that we are

    conscious (apparently we do have subjective experiences)

    proves that we are not in a simulation. As was said earlier,

    Bostrom only discusses the possibility of shadow-people

    being used in me-simulations, but he ignores that they may be

    most practical for the ancestor-simulations as well.

    It is interesting to mention the Self-Interest Consideration,

    proposed by Barry Dainton. He makes a ridiculous suggestion

    that civilisation may decide not to create simulations as if this

    can have any effect on the nature of their own world, but he

    ignores a very real possibility of certain motivation that would

    prevent any posthuman civilisations from creating simulations

    with conscious people.

    There is a possibility that simulations of posthuman civilisations

    (or posthuman individuals) are not interesting. The posthumans

    are unlikely to be significantly influenced by the society and

    may not have a society at all. That would remove one of the

    main points of simulating a civilisation observation and

    analysis of group dynamics. Many posthumans in the real world

    might live in personal simulations and simulated posthumans

    are unlikely to be significantly different. Posthumans will alsobe capable of travelling between metaverse levels, moving from

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    a simulation to a parent world and vice versa.

    This possibility significantly reduces the total number of

    simulated people by eliminating nested simulations (as shown

    earlier). Additional ethical and other considerations can lead to aban on simulating civilisations capable of reaching

    posthumanity (because those running a simulation would have

    to actively interfere or terminate such simulation). In this the

    case the fact that we can think about becoming posthumans and

    are certainly moving in this direction is an indicator that we do

    not live in a simulation.

    Posthuman stage in the far future

    Bostrom says [the] simulation argument works equally well for

    those who think that it will take hundreds of thousands of years

    to reach a posthuman stage of civilisation. But this is not the

    case. The development of posthuman civilisation in the base

    reality may take much longer than in a simulation, for example

    because all simulations have accelerated scientific and

    technological development for convenience of the observers. Ifthat is the case, theHBASE value (the number of people who lived

    in the base civilisation before it reached the posthuman stage)

    can be much greater than . That would forcefsim, to be much

    lower, making the probability of living in a real world much

    higher.

    VI. Errors: Interpretation of Simulation Argument

    Laws governing the simulations

    In his article Bostrom almost always ignores the distinctive

    feature of a simulation. It can be expected that in most cases

    those running the simulation will have a complete control over

    it. This means that any historical patterns, ethical considerations

    and even laws of nature in a simulation are of secondary

    importance. The events in the simulation will always primarily

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    depend on the will of the observers, who are running the

    simulation.

    However, Bostrom ignores this and often incorrectly states that

    the simulation will be governed by some specific laws. Forexample, he says that in order forfI (the share of posthuman

    civilisations interested in running simulations) to be very small

    there must be a strong convergence among the courses of

    advanced civilisations [1]. Then Bostrom describes two

    possibilities that posthuman civilisations will not run

    simulations for ethical reasons or that they will simply lose the

    desire to do it but he says nothing about the possibility of

    parent civilisation prohibiting its simulations from runningnested simulations.

    It will be very easy for a posthuman civilisation to control all

    first-level simulations and prohibit them from running any

    additional simulations. It might also be possible that all

    computers in simulations will not be simulated but (for

    efficiency, security or for some other reasons) the software will

    run directly on computers of the parent civilisation. This meansthat nested simulations can be run, but they will not contain any

    real (conscious or real by any other definition) people. At the

    same time, the individuals from a first-level simulation will

    have an impression of actually running a simulation.

    Extinction

    Bostrom makes a similar mistake while speaking aboutextinction of a simulated civilisation as a natural event. If there

    are simulated civilisations then the majority of them will

    probably not go extinct in a natural way, but will be terminated

    by the simulators. The mechanisms for these two kinds of events

    are obviously different, since simulators are not limited to

    terminating civilisations in natural ways. There are many

    possible alternatives. For example, simulated civilisations can

    be slowed down (or even paused with saving the simulationstate) by simulators when these civilisations approach the

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    posthuman stage. It must be noted that being paused (with the

    possibility of being launched again) is probably better than

    going extinct.

    The best alternative option is the one where upon thetermination of the simulation all humans will be transferred

    from there to the parent universe. A less pleasant alternative is

    an artificial termination. The simulation can just be stopped and

    erased, regardless of the situation in the simulated world and

    without apparent reason (from the point of view of simulated

    humans, though they probably will not even notice the

    termination). The simulated world can also be destroyed in any

    way conceived by the simulators before the simulation itself willbe stopped. This can be perceived by the simulated humans as

    apocalypse, Armageddon, Judgement Day or Ragnarok. But

    again, these events will be caused not by the processes in the

    simulation, but by outside forces.

    Rewards, Punishments and Afterlife

    In his article, in a nave attempt to draw some loose analogieswith religious conceptions of the world [1, . 10],

    Bostromsuggests possible mechanisms for several religious

    concepts.Based on the moral absolutism he proposes a

    metaverse where parent civilisations impose rewards and

    punishments on the simulated human beings and even provide

    afterlife to them based on their behaviour in the simulated

    world.

    As was discussed earlier, we have no reasons to make any

    assumptions about the base civilisation if we are not one. Any

    ideas about morals of the parent civilisations are by their nature

    extremely speculative. In addition, the reasons for the existence

    of the simulation can vary greatly. A simple illustration is the

    difference between acceptable (as defined by simulators)

    behaviour for Quake monsters and sims in the Sims game.

    But there are even stronger objections against these pseudo-

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    religious ideas.

    1. It is extremely irrational and plain silly to reward or punishyour own creations (especially if they are essentially

    computer programs). The possible exception areexperiments with artificial selection or training, but that

    has nothing to do with ethics and morals and criteria can

    be totally arbitrary.

    2. The idea of afterlife is somewhat logical, as explainedabove in the, but there are no reasons to believe that there

    will be any sort of reward or punishment. The posthuman

    beings capable of running a simulation are very unlikely to

    have an irrational and barbarous mentality necessary forthat.

    VII.Conclusion

    Bostroms formula for calculating the probability of living in a

    simulation contains serious mathematical errors. The probability

    theory is used in the original paper incorrectly and without

    taking the philosophical aspects of the problem into

    consideration. The arguments based on the mathematical

    calculations have additional logical errors, such as circular

    reasoning, and ignore the observational bias.

    Based on the analysis done in this paper, we can infer that the

    simulation argument is incorrect. It seems to be impossible to

    avoid the logical errors made by Bostrom. In addition, there are

    some reasons to concede that certain qualities of ourcivilisations point to our existence in reality.

    It can be concluded that the reality of our world remains the

    question of personal beliefs. At the same time, the reality of our

    world does not impose additional limitations on the prospects of

    the technological progress, the possibility of reaching the

    posthuman stage and running simulations.

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    VIII. References

    1. Are You Living In a Computer Simulation? Nick Bostrom.

    Philosophical Quarterly, 2003, Vol. 53, No. 211, pp. 243-255.http://www.simulation-argument.com/simulation.html

    2. Abre los ojos (Open Your Eyes). Alejandro Amenbar,

    1997http://www.imdb.com/Title?0125659

    3. The Cartesian Circle. Philosophy

    Circlehttp://www.philosophycircle.com/features/features39.html

    4. Dark City. Alex Proyas,1998http://www.imdb.com/Title?0118929

    5. Gdel, Escher, Bach: an Eternal Golden Braid. Douglas R.

    Hofstadter. BasicBooks, 1979

    6. Innocence Lost: Simulation Scenarios: Prospects and

    Consequences. Barry Dainton, 2002,

    Draft.http://www.simulation-argument.com/dainton.pdf

    7. How to Live in a Simulation. Robin Hanson, 2001, Journal

    of Evolution and Technology, Vol. 7.

    http://www.transhumanist.com/volume7/simulation.html

    8. The Matrix. Andy Wachowski, Larry Wachowski,

    1999http://www.imdb.com/Title?0133093http://www.whatisthe

    matrix.com

    9. Philosophy & The Matrix. John Partridge, Christopher

    Grau, Colin McGinn, Kevin Warwick et

    al. http://whatisthematrix.warnerbros.com/rl_cmp/phi.html

    10. The Physics of Immortality. Frank Tipler. Doubleday,

    1994Summary of the Omega Point theory:

    http://www.math.tulane.edu/~tipler/summary.html

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    11. Shadows of the Mind: A Search for the Missing Science of

    Consciousness. Roger Penrose, Oxford University Press, 1994.

    12. The Simulation Argumenthttp://www.simulation-

    argument.com/

    13. Skepticism and Religion Revisited. Steven Novella. The

    New England Journal of Skepticism Vol. 1 Issue 3 (Summer

    98) http://www.theness.com/articles/skepticismreligionrevisited-

    nejs0103.html

    14. The Thirteenth Floor. Josef Rusnak, Daniel F. Galouye

    (novel), 1999 http://www.imdb.com/Title?0139809

    15. Vanilla Sky, Cameron Crowe, Alejandro Amenbar,

    2001http://www.imdb.com/Title?0259711

    16. Source unknown. An announcement by a group of British

    scientists in 2001.

    [1] Nick Bostrom a researcher in the field of philosophy of

    science, ethics of technology and science, transhumanism. From

    2000 to 2002 a lecturer in the Department of Philosophy of Yale

    University (USA), from 2003 a Research Fellow in Oxford

    University (United Kingdom). Author of 16 articles on topics ofanthropic principle, technological development, artificial

    intelligence and simulation argument. Author of the book

    Anthropic Bias: Observation Selection Effects. 2002. Routledge,

    New York.

    Personal site: www.nickbostrom.com

    [2] On 15 May 2003 Matrix: Reloaded, the second part of the

    trilogy, was released. Third part, Matrix: The Revolutions, is

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    scheduled for November 2003. The actual simulation, the

    MMORPG (massively multiplayer online role-playing game)

    The Matrix Online, will be released in 2004.

    [3] Player in GTA (Grand Theft Auto) game series usuallydrives or runs around the city, causing mayhem and destruction

    to the inhabitants of the city, killing pedestrians and shooting

    policemen (www.grandtheftauto.com).

    [4] This is an approximate interpretation of mathematical

    formulas derived in this section of the original paper. Because of

    the logical and mathematical errors made in the derivation, the

    formulas are incorrect, thus making a strict interpretationimpossible. Bostrom gives his detailed interpretation of these

    formulas in the corresponding section (Interpretation).

    [5] An argument that uses circular reasoning (also known as

    begging the question) makes a conclusion based on material

    that has already been assumed in the argument.