Multi Verse Hypothesis

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    Does the inference to the multiple universe hypothesis commit the Inverse Gamblers Fallacy?

    It has often been remarked by physicists and chemists that the universe is very

    sensitively tuned to allow life to exist. If certain physical and chemical constants

    were just a fraction from their observed values, life could never have arisen.There is, for example, an extraordinary series of coincidental physical conditions

    which led to the high cosmic abundance of the element carbon, the basis of all

    life. [Hoyle, 1983]

    How and why there is intelligent life in this universe is aprima facie puzzle. That this universe (or, on

    a lesser scale, this world) appears, as observed by Hoyle, to be staggeringly well-adjusted to bear

    intelligent life indicates that factors such as the natural laws of the universe must be in the optimum

    pattern in order to create and sustain life, and that the amount of energy generated from the Big

    Bang was the exact amount needed to create this universe (without this exact amount of energy, the

    universe would have either expanded too quickly, causing it to collapse in on itself, or not quickly

    enough, meaning that stars and planets would not have been created). If either of these factors had

    not occurred exactly as they had, varying by as little as one per cent either way, this universe would

    not have harboured any life at all, let alone intelligent life. Scientists argue that even the minutest of

    variations in the outcome of the Big Bang would have led to the creation of a very different universe

    to the one in which we are living, and point out the extreme improbability that our life fostering

    universe could have been created. However, evidently, this universe does exist in a form able tocreate and sustain life, so how did this happen?

    It is quite evident that the probability of the Big Bang producing these precise conditions

    completely by chance is incredibly low; in fact, some statisticians, as noted by Crabb in Our

    Improbable Existence and the Multi-universe Hypothesis, claim that it is as little as

    10,000,000,000,000,000,000,000 to 1 [Crabb, 2006], and given this figure, it is perfectly logical to

    seek another explanation for our existence aside from the notion that we are here purely by chance

    alone. In popular philosophy, there are three common explanations as to how this universe ended

    up with the capacity to create and sustain life: firstly, the notion that it is nothing more than pure

    luck. It is a brute fact that out of all of the possibilities in existence, it just so happened that this

    universe produced the exact combinations that would allow intelligent life to form in it. Secondly is

    the design argument, which claims that, because there is evidence of design in the universe, then it

    is likely that the universe was designed. Naturally, this leads to the assumption that the designer of

    the universe was God. Finally, there is the notion that there are multiple universes. If there were

    millions of universes in existence, then it can be argued that it is reasonably likely that at least one of

    them will produce the conditions necessary to create and sustain life, as there were many

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    opportunities for this to occur. Furthermore, it is this universe which is necessarily the one that was

    created with the optimum potential to create and sustain life.

    The argument that our universe is merely brute fact is one which is tolerated by thinkers such as

    Richard Swinburne and Bertrand Russell, whose case is often defended by the application of

    Occams Razor. Also, although it appears superficially to be rather unlikely, one common position

    upheld by thinkers is that those who suggest that the creation of this particular universe is highly

    unlikely are in fact mistaken. Furthermore, whilst the design argument is harshly criticised, Hacking

    claims that it cannot be as easily dismissed as one may think, a notion I shall move on to further in

    the essay. However, of the three ideas, the multiple universe hypothesis appears to be the most

    logical.

    One form of the multiple universe hypothesis was outlined by John Wheeler in 1983, and this is

    known as the Participatory Anthropic Principle. Its basic argument is that universes were generated

    in a sequence or series, and that each attempt before the creation of this universe failed to create

    and sustain life, and when this universe came into existence, no further attempts were necessary

    and no more universes were created after the success of this one. Therefore, one can see that

    Wheelers Participatory Anthropic Principle supports the notion that the more attempts there are at

    creating a life fostering universe, the more likely it is that one will eventually be created.

    Wheelers Participatory Anthropic Principle can be viewed as follows: universes were perpetually

    generated in varying configurations until one was produced which became home to a single sentientbeing. When this occurred, the creation of further universes ceased, as a universe able to create and

    sustain life was now in existence. As one can see, that universe is the universe in which we find

    ourselves.

    According to Ian Hacking, the multiple universe hypothesis is one of the most popular objections to

    the design argument. As previously stated, the design argument is the observation that the universe

    is finely tuned to the point that it is exactly right to support life, and therefore, must have been

    designed in order to do so. This tends to lead to the conclusion that God is the designer. Hacking

    claims that the multiple universe hypothesis and Wheelers Participatory Anthropic Principle (in the

    form mentioned above) each commits a fallacy which he calls the Inverse Gamblers Fallacy.

    Hackings theory is, as the title suggests, an inversion of a common fallacy known as the Gamblers

    Fallacy. The Gamblers Fallacy reads as follows: a gambler has had a series of six consecutive

    unsuccessful bets, so he reasons that, on his seventh bet, his luck is due to change, as the more bets

    he makes, the more likely it is he will be successful. This line of thought assumes that past events

    have an effect on future probability. However, some thinkers claim that this assumption is incorrect,

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    as there is no causal relation between such events, so the gamblers first six bets would have no

    bearing whatsoever on his seventh bet.

    Hacking claims that there is an inverse of this fallacy, which is often committed by advocates of the

    multiple universe hypothesis. The Inverse Gamblers Fallacy comes in two forms, both of which start

    from the notion that, the more opportunities that occur, the more likely it is that an improbable

    outcome will eventually occur. For example, if a gambler is playing poker and is dealt a Royal Flush,

    one would assume that he had been playing for quite some time, as opposed to it being his first

    hand of the night. This inference would be valid if you were informed randomly that he had been

    dealt a Royal Flush, but if you had chosen to be present at a single game and he was dealt a Royal

    Flush, then it would be an invalid inference. Hacking argues that it is latter of these which

    supporters of the multiple universe hypothesis can be likened to; a point which I shall elaborate on

    further into the essay.

    Those who advocate the multiple universe hypothesis claim that this is exactly the same for the

    improbable existence of our universe in its current form. It seems to be logical to claim that, if there

    were/are billions of other universes, it is probable that life would have eventually emerged in one of

    them, and it should be added that the universe which was created with the capacity to foster life is

    this universe. Supporters argue that the hypothesis that there are, or have been, multiple

    universes is seenas being supported by the evidential fact that we exist [Crabb, 2006]. As it is

    incredibly unlikely that a life-supporting universe was created completely at random, our mereexistence suggests that there must have been many opportunities for the emergence of such a

    universe. If we compare it to the Royal Flush analogy, it is far more likely, says the multiple universe

    supporter, that this is one in billions of universes, as opposed to the first ever created.

    This is the case put forward by those who use the multiple universe hypothesis to offer a rational

    alternative to the design argument. Critics of the theory that this universe was designed claim that:

    It is indeed extremely improbable that a random concatenation of the forces,

    energies, particles, and fields of the universeshould, in a single trial, form intoanything orderly, let alone something that supports our form of intelligent life.

    But why suppose the universe to be made by one single roll of myriad dice?

    Think instead of a sequence of indefinitely or infinitely many chance events.

    Sooner or later, mere chance would give an organisation like ours. We need

    invoke nothing but chance to explain the order in the universe and the fine

    adjustment of means to ends. [Hacking, 1987]

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    Hacking, however, claims that this reasoning commits the Inverse Gamblers Fallacy. For Hacking,

    there are two ways in which one can commit this elementary fallacy in probability reasoning1.

    Firstly, a gambler picks a poker game to observe at random, and witnesses a poker player being dealt

    a Royal Flush. When asked whether he thinks it is the first hand of the night, or if there have been

    many hands already played, the gambler decided that there have already been many hands played

    before his arrival, as the odds of getting a Royal Flush are quite low: 649,740:1 in a single hand made

    up of five cards2. Secondly, a gambler picks a poker game to observe at random, and enters the

    room as a poker player is about to be dealt a hand. When asked whether or not this is the first hand

    of the night, the gambler asks for the cards to be revealed before he makes his decision. When the

    poker player reveals that he has been dealt a Royal Flush, the gambler decides that there have

    already been many hands played for the same reason as the first gambler.

    It is clear how this analogy relates to the argument put forward by multiple universe theorists, as

    the fact that we are witnessing a life-bearing universe would suggest that there have been many

    other universes in existences, as the odds of a single universe fostering life are extremely low.

    Hacking, however, claims that this line of reasoning is fallacious, as the hands played prior to the

    ones witnessed by the gamblers have no effect on the hands which produced Royal Flushes, as each

    event is independent of one another. Therefore, in the case of the second gambler, the gamblers

    posterior subjective probabilities should be identical to his prior subjective probabilities3.

    Therefore, being dealt a Royal Flush, or stumbling upon a universe which has fostered life, is just aslikely on the first attempt as it is on the hundredth; thousandth or millionth attempt, as increasing

    the number of attempts does not actually decrease the odds, it just makes it less surprising that the

    unlikely event has occurred. One cannot explain the occurrence of a Royal Flush or a universe

    teeming with life with a long sequence of previous attempts. However, it is noted by Leslie and

    McGrath that this is misinterpretation of the multiple universe hypothesis, which reads differently to

    how it was portrayed by Hacking, arguing that, given many opportunities to create a life fostering

    universe, one universe or another will eventually be created with that capacity.

    However, there is a second argument put forward by critics of the design argument, which does

    not rely on the existence of multiple universes. It reads as follows:

    the universe has been around for ever so long, so it is not in the least

    surprising that it should have got into its present orderly state. Given an old

    1Hacking, I. The Inverse Gamblers Fallacy: the Argument from Design. The Anthropic Principle Applied

    to Wheeler Universes2

    http://poker.sportinglife.com/Strategies/story_55895.shtml3Hacking, I. The Inverse Gamblers Fallacy: the Argument from Design. The Anthropic Principle Applied

    to Wheeler Universes

    http://poker.sportinglife.com/Strategies/story_55895.shtmlhttp://poker.sportinglife.com/Strategies/story_55895.shtmlhttp://poker.sportinglife.com/Strategies/story_55895.shtmlhttp://poker.sportinglife.com/Strategies/story_55895.shtml
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    enough universe, we would expect our order to arrive by mere chance. [Hacking,

    1987]

    Hacking, however, claims that this argument still commits the Inverse Gamblers Fallacy. Although it

    does not state that there are multiple universes, it still assumes that prior events have a bearing on

    the outcome, which, whilst not being identical, is merely a variation of the same argument. There is,

    for Hacking, no real distinction between claiming that our universe is ordered in this way because

    there have been infinite opportunities for it to be, and claiming that it is ordered in such a way

    because it has infinite time to reach this order. No matter which argument one chooses, one is still

    committing the fallacy of assuming that past events have made this outcome more likely.

    Supporters of this theory, however, claim that, as modern science informs us that our universe is

    infinitely old, then it is more likely that it began as being unordered, and became organised and able

    to foster life as time went on. Of course, Hacking claims that this, too, is incorrect, as, he points out,

    our universe, according to modern science, is infinitely old, but has been fine-tuned from its origins.

    According to Hacking, as science offers the Big Bang theory as the origins of the universe, then there

    would actually be no room for chance to play a part in the order of the universe after the first few

    seconds of its existence. Therefore, the claim that the age of the universe has impacted on its

    current order cannot, if one views the argument in that way, possibly be true.

    For Hacking, if one wishes to uphold the popular argument against design theory, it would have to

    be modified to claim that there have been many sequential universes, with our universe as the final

    and most recent. This is the notion suggested by Wheelers Participatory Anthropic Principle, which

    argues that there have been billions of possible universes, none of which were suitable for

    habitation, then at the creation of our universe, the evolution of the multiverse ceased, the possible

    universes collapsed, and this universe became actuality. In Wheelers Participatory Anthropic

    Principle, each possible universe succeeds the one before it, but there is a second theory of co-

    existing universes suggested by Carter, who argues that all possible universes co-exist with one

    another. In each theory, once a habitable universe was created, the creation of further universes

    ceased, leaving only this universe. The main similarity between the two theories, however, is that

    universes, both actual and possible, do not have memories, as this would make for an unfair attempt

    each time. As a deck of cards must not remember how they were last dealt in order to ensure that

    any improbable outcomes are fair, universes must not remember their previous configurations.

    Therefore, the multiple universe hypothesis can only be correct if all individual universes are

    randomly configured.

    For Hacking, it is often assumed (mistakenly, he believes) that, analogously, Wheeler universes and

    Carter universes are very similar. However, he argues that there is a fundamental logical difference

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    between the two notions: Wheelers theory commits the Inverse Gamblers Fallacy, and Carters

    theory does not. Whilst neither, by definition, can possibly have any empirical evidence to prove

    indefinitely that their version of the multiverse is correct, Hacking claims that Carters theory of co-

    existence does not commit the same error as Wheelers sequential theory.

    Wheelers Participatory Anthropic Principle, according to Hacking, cannot be proven correct by

    either of the only two explanations he believes can explain the multiverse. Firstly, he argues, it

    cannot be explained by what he calls an inference to the best explanation. An inference to the

    best explanation is the view that, if Event A is known, and Event B is the best explanation of Event A,

    then one can infer that Event B explains Event A. If we take this in the context of Wheelers

    sequential universe, it would read as follows: we know that this universe exists in this order, and the

    best explanation of this is that there have been a sequence of possible universes, of which this is the

    last one, so therefore, we can infer that a sequence of universes is the explanation for our ordered

    universe.

    Secondly, Hacking claims that our ordered universe could be partially explained by what he calls a

    prioriphysics, which includes features such as symmetry and simplicity, but he goes on to argue

    that, even in conjunction, a prioriphysics and Participatory Anthropic Principle do not provide

    enough explanation for why this universe is as it is.

    However, the first explanation is the one which Hacking claims commits the Inverse Gamblers

    Fallacy. As stated, if one attempts to use an inference to the best explanation in order to explainhow this universe came to be in its ordered state, the conclusion is that this is because this universe

    is the last in a long sequence of possible universes. For Hacking, this theory is not a satisfactory

    explanation for the result achieved. Supporters of Participatory Anthropic Principle claim that a

    sequence of successive universes makes it far more probable that we should end up with this

    ordered universe. However, as Hacking notes, to assume that past universes have any effect on the

    state of this universe is to commit the Inverse Gamblers Fallacy, as the amount of attempts made at

    an ordered universe does not make it any more likely that one will occur, it only makes it less

    surprising when it does. Conversely, as aforementioned, critics of Hacking do not agree with him on

    this point. Leslie and McGrath argue that supporters of the Participatory Anthropic Principle would

    claim that this universe is only this specific one because this is the one which was randomly

    generated with the capacity to create and sustain life, and only find ourselves present in this

    universe because of this property. The more sequential (or co-existing) universes there are, the

    more likely it is that one will be created with the properties of this universe, and becomes home to

    sentient beings. Therefore, supporters of Wheeler argue not that this universe needs a causal link to

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    other universes, as Hacking claims they believe, but that, statistically, the more universes that have

    been created, the more likely one such as this one will occur.

    Therefore, on these grounds, one can assume that Wheelers theory of sequential universes does

    lead one to commit the Inverse Gamblers Fallacy if it is believed. However, the same cannot be said

    for Carters theory of co-existing universes. As with Wheelers theory of sequential universes,

    Hacking notes that Carters theory cannot have empirical evidence in order to show that is correct,

    so can only by proven by one (or both) of the two explanations mentioned earlier. However, unlike

    Wheelers theory, Carters cannot be faulted on an inference to the best explanation. For Hacking,

    where Wheelers notion fails to provide the best explanation for the orderly universe we live in,

    Carters theory, deduced from Big Bang cosmology, provides a satisfactory explanation for this

    improbable event. Therefore, Hacking claims that if all logically possible universes consistent with

    classical big-bang cosmology actually co-exist4, then this would provide an acceptable explanation

    for the order of this universe.

    Critics of Hacking, however, claim that he is mistaken in his dismissal of Wheelers theory of

    sequential universes in favour of Carters theory of co-existence. In The Inverse Gamblers Fallacy

    and Cosmology A Reply to Hacking, McGrath, whilst admitting that there is a major logical

    difference between Wheelers andCarters theories, as noted by Hacking, does not accept Hackings

    second claim that Wheelers notion commits the Inverse Gamblers Fallacy but Carters notion does

    not.McGrath accepts that, superficially, Carters co-existence model does appear to be the superior of

    the two theories, because, as Hacking notes, it is a deductive theory based on classical Big Bang

    cosmology, whereas Wheelers theory reads that, because of this universe, it is probable that thus

    universe is the last in a lengthy sequence of universes. Whilst McGrath disagrees with Hackings

    view that Wheelers sequential theory commits the Inverse Gamblers Fallacy, he does acknowledge

    that Wheelers theory is the less stable of the two multiple universe hypothesises, as Carters notion

    has the advantage of not appealing to probability. As McGrath notes, Wheeler still appeals to

    what is merely probably, whereas the Carter model relies on strict deduction5.

    However, does this mean that Hacking is correct, and Carters theory is the only multiple universe

    hypothesis which does not commit the Inverse Gamblers Fallacy? McGrath argues that this is not

    the case. He claims that there is a problem with Carters model of co-existing universes: Carters

    deductive theory is fundamentally based on what McGrath calls the principle of plenitude, or

    abundance. For McGrath, this is necessarily false, as, he claims that, it is logically impossible that

    4Ibid.

    5P. McGrath The Inverse Gamblers Fallacy and Cosmology A Reply to Hacking P. 265-8

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    all logically possible universes exist6. For example, it is logically possible that there is a universe

    which is not consistent with any other logically possible universe, so therefore, it is a logical

    impossibility that this universe could be a part of Carters theory of co-existence.

    In order to make Carters theory feasible, according to McGrath, it would have to remove the

    principle of plenitude, altering the notion to state that the nature of this universe makes it probable

    that it is one of many co-existing universe, as opposed to it being definite that it is one of many.

    However, surely if this is the case, then Carters theory would commit the same fallacy as Wheelers

    theory, which is exactly the notion Hackings paper attempts to counter.

    McGrath uses an analogy similar to Hackings to explain how Wheeler and Carter universes are

    much more similar than Hacking gives them credit for. McGrath proposes a scenario where, rather

    than a gambler reasoning that there have been many poker hands played when a Royal Flush occurs,

    he is called when this event happens after a large group of people play poker hands simultaneously

    (this is a variation of an analogy McGrath uses in defence of Wheelers sequential universe theory

    which I shall discuss shortly). If the gambler is called, he can reason that there were probably a large

    number of people playing poker hands in unison, as opposed to just two or three. This is no

    different to the way in which the gambler would reason if he were to use Wheelers theory, as he

    would reason that there were probably a large number of sequential hands played as opposed to a

    few. Clearly, the argument suggested by McGrath has the same structure as Hackings, with the only

    variant being the way in which the hands are played.If one were to apply the altered Carter hypothesis to this universe, it can be claimed that, (a) it is

    highly unlikely that this order would appear from a singular universe, as Wheeler also argues, and (b)

    that multiple universes would simultaneously co-exist as opposed to existing in sequence. Clearly,

    the argument remains the same, with the only difference being in (b), as Wheeler would claim the

    inverse (that multiple universes would exist in sequence as opposed to co-existing with one

    another). Therefore, if McGraths criticism is correct, Hacking would have to either concede that

    Wheelers Participatory Anthropic Principle does not commit the Inverse Gamblers Fallacy, and is

    therefore a plausible version of the multiple universe hypothesis, and therefore a feasible

    explanation of our orderly universe, or that Carters theory of co-existing universes is also fallacious

    and is not satisfactory to explain the order of this universe.

    Even if one removes Carters theory from the argument and focuses onlyon Wheelers sequential

    universe theory, there are still strong criticisms against Hackings view that Wheeler commits the

    Inverse Gamblers Fallacy. Both McGrath and Leslie claim that Hacking is mistaken in his view, each

    6Ibid.

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    for a variety of reasons, but almost all concerning the way in which Hacking portrays Wheelers

    notion in his analogy, which both authors believe is a misrepresentation.

    McGrath, for example, concedes that he believes that the Inverse Gamblers Fallacy proposed by

    Hacking is a genuine fallacy which can be applied to some arguments in certain circumstances, but

    he denies that it is committed by Wheelers attempt to explain the order of the universe. His first

    point, which is not related to Hackings representation of Wheeler universes in his analogy, is that

    whilst it is true that an improbable outcome such as a Royal Flush or an ordered universe is far more

    likely to occur if there have been many opportunities for it to do so, Hacking appears to overlook the

    fact that every poker hands outcome in an improbable one, as is the state of every possible

    universe. For example, it is just as improbable that a poker player will be dealt a hand of a pair of

    threes, a seven, a ten and a Jack as it is that he would be dealt a hand consisting of a ten, a Jack, a

    Queen, a King and an ace. Therefore, it is just as improbable that a universe made entirely of rocks

    will be created as it is that an orderly universe such as ours will be created. Therefore, when an

    improbable outcome such as a Royal Flush occurs, that it should be improbable is not actually

    improbable, as any hand that was dealt would be an improbable one.

    McGraths argument is that Hacking places too much emphasis on this universe, and as Leslie

    points out in No Inverse Gamblers Fallacy in Cosmology, Hacking is only focusing on the existence of

    a universe that supports life, when he could focus on a universe that supports clouds, or precious

    metals, which is probably a far more likely scenario than one which supports life. One could arguethat Hackings focus on life is related to the weak anthropic principle, which argues that this universe

    is necessarily able to foster life as we are here observing it, which is a tautology. We are only

    observing it because it supports life, and it is only because we are observing it that we are intrigued

    by it.

    However, as this is a tautology, one can argue that, whilst Hacking does appear to be focused on

    the existence of life in this universe, it is because the weak anthropic principle only deals with the

    fact thatthere is life in this universe, not whyit is able to foster life in the first place. The emergence

    of a universe perfectly attuned to support life is of particular interest to us as we are the product of

    it, so this criticism of Hacking is not a particularly strong one.

    However, unfortunately for Hacking, the further criticisms of his argument are far more damning

    than the previous one, which concern various problems that stem from Hackings representation of

    Wheelers theory of sequential universes, which both Leslie and McGrath believe is incorrect.

    Firstly, McGrath points out that, in his analogy, Hackings gambler observes the improbable event of

    a Royal Flush being dealt occur, then reasons that it is likely that this is the latest in a long series of

    hands dealt because of its outcome. McGrath claims that this is a misrepresentation on Hackings

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    part, for reasons which shall be explained shortly, and suggests his own analogy which, he believes,

    is more accurate than the one proposed by Hacking.

    McGraths analogy reads as follows: a gambler enters a room before the dealing of poker hands

    has begun, and says that he is going to take a nap, but he is to be woken when a Royal Flush is dealt.

    He then leaves the room and goes to sleep. When he is called, he would have no idea how long he

    had been asleep for, so would not be able to estimate how many hands had been dealt before the

    appearance of a Royal Flush, but he reasons that it is likely that many hands have been dealt, as it is

    unlikely (but not impossible) that a Royal Flush would occur within the first few hands played.

    Although there does not appear to be much variation between the two analogies, McGrath claims

    that this is a legitimate representation of Wheelers theory, whereas Hackings is incorrect. Why this

    is the case is explained by Whitaker in On Hackings Criticism of the Wheeler Anthropic Principle,

    where he presents the example of a casino which, by law, is only able to open if the first roll of the

    dice of the night provides a double six. Therefore, when the dice are rolled and the improbable

    double six is thrown, we are not surprised to see a photo of the open casino in newspapers, as there

    is only a photo because it is open, and we would not be surprised that the casino had not been able

    to open for several months previously, as the elusive double six is unlikely to be rolled on the first

    few nights of the law being initiated.

    If we apply this to Wheelers theory, we can see that Hacking is mistaken. In his analogy, the

    gambler is present before a Royal Flush happens to be dealt, and bases his reasoning on that.However, Whitakers analogy is more accurate when it comes to describing the universe, and is

    supported by McGrath and Leslie. McGrath claims that, in his representation of Wheelers theory,

    the gambler is aware in advance that he will be woken when a Royal Flush is dealt, and is aware that

    he is unlikely to be woken within the first few hands played. Similarly, we know that Whitakers

    photograph was only taken when the casino was open, and that was unlikely to occur within the first

    few nights of the law being passed.

    When this is applied to the universe, it becomes clearer how Hacking is mistaken. Life did not

    happen to just stumble upon this ordered universe, as Hacking would appear to be suggesting, but it

    is here because of this ordered universe, which is the claim both McGrath and Whitaker make in

    their analogies. For example, if we continue to refer to McGraths example, we can see that the

    gambler is only called if a Royal Flush is dealt, so if there is no Royal Flush, the gambler will remain

    asleep. Similarly, if there is no life supporting universe, there will be no life to observe it.

    Finally, Leslie notes that Hacking claims that supporters of Wheelers multiple universe hypothesis

    argue that the chances of the existence ofthis universe are increased by the previous existence of

    other universes. This is a claim which has been raised already in this essay, and was dismissed as

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    supporters of Wheeler do not argue that this universe is causally connected with any other.

    However, Leslie offers a further criticism of Hackings notion, arguing that the claims he makes are

    false, as he confuses luck with amazement. To clarify this point, I will use an example from Our

    Improbable Existence and the Multiple-universe Hypothesis [Crabb, 2006]: when we read in a

    newspaper that John Smith has been struck by a meteor whilst taking a walk on a moor, we are

    amazed by his bad luck. However, if we then learn that there were actually over a thousand people

    on the moor alongside John Smith, this makes it far more probable that somebodywould have been

    struck by the meteor, and therefore, we are no longer amazed by John Smiths bad luck.

    How is this related to the multiple universe hypothesis? Evidently, we have found ourselves in a

    universe that has the capacity to create and sustain life, and naturally, we are quite amazed by this

    fact, and also by our sheer good luck. However, if there are an infinite number of possible universes,

    it is far more probable that, eventually, one of them would have the capacity to support life.

    Therefore, we would be far less amazed at our apparent good luck. Leslie argues that Wheeler and

    his advocates are not arguing that this universe has the capability to support life because there have

    been an infinite number of possible universes, but that the existence of these other universes would

    make it far more probable that a universe such as this one would be generated. Therefore, the

    notion proposed by Wheeler does not commit the Inverse Gamblers Fallacy.

    In conclusion, I believe that Hacking is incorrect when he claims that Wheelers multiple universe

    hypothesis commits the Inverse Gamblers Fallacy. His interpretation of Wheelers notion isincorrect, and it is this misrepresentation which he bases his argument on. Furthermore, Hacking

    wishes to support the notion proposed by Carter, and in doing so, he must also concur that

    Wheelers theory is correct. Therefore, I do not believe that the inference to the multiple universe

    hypothesis commits the Inverse Gamblers Fallacy.