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Darwin, Kant, and Hamilton

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General fitness, health and nutrition
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5 July 2004
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Jim Menegay
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  1. For a young person growing up in bourgeois Western society,
    one of the vicissitudes of the process of socialization is
    that perfectly natural self-serving behaviors will be met
    with the query: "What if everyone did that?".

    It is a difficult question to even understand, let alone
    answer. I have always been partial to Dunbar's response in
    Heller's "Catch 22": "Well, if everyone did it, then I would
    be a damned fool to do any differently!"

    I have heard that this query can be blamed, ultimately,
    on Emmanuel Kant. (If I have heard wrong, don't expect me
    to actually READ Kant to educate myself - I have recently
    gone thru the ordeal of reading Hamilton, and that was
    bad enough.)

    It has recently occurred to me that in Darwin's Natural
    Selection, Nature never asks Kant's question. Organisms are
    expected to behave self-servingly, even though "if everyone
    did that" the self is ill-served. Ironically, Nature sees to
    it that everyone does do that, though She doesn't take the
    inevitable consequences of Her own actions into account. As
    a result, every individual may suffer from an evolutionary
    change that was to the benefit of each individual. To claim
    that this is paradoxical is to commit the fallacy of
    composition, as that fallacy is defined by economists.

    I has also recently occurred to me that in Hamilton's kin
    selection model, Nature DOES ask a watered down version of
    Kant's question. In Hamilton's model, Nature asks the
    question: "What if everyone whose genome is correlated with
    yours did that?". Or better, "What if everyone did that to
    the extent that their genome is correlated with yours?".

    Please note the use of the words "correlated with", rather
    than "similar to". I have just been thru this issue with
    Hoelzer and McGinn. If everyone is similar, then no one is
    correlated.

    Food for thought, even if Dr. Wilkins will disapprove of the
    anthropomorphism.

  2. Jim Menegay said:

    For a young person growing up in bourgeois Western
    society, one of the vicissitudes of the process of
    socialization is that perfectly natural self-serving
    behaviors will be met with the query: "What if everyone
    did that?".

    It is a difficult question to even understand, let alone
    answer. I have always been partial to Dunbar's response in
    Heller's "Catch 22": "Well, if everyone did it, then I
    would be a damned fool to do any differently!"

    I have heard that this query can be blamed, ultimately, on
    Emmanuel Kant. (If I have heard wrong, don't expect me to
    actually READ Kant to educate myself - I have recently
    gone thru the ordeal of reading Hamilton, and that was bad
    enough.)

    Kant' proposed a "rational test" of a moral claim - did it
    match what he called the categorical imperative? That is,
    could it be said that you acted this way in the knowledge
    that if all acted that way, the result would be good. Your
    precis is good enough.

    Quoted message said:


    It has recently occurred to me that in Darwin's Natural
    Selection, Nature never asks Kant's question. Organisms
    are expected to behave self-servingly, even though "if
    everyone did that" the self is ill-served. Ironically,
    Nature sees to it that everyone does do that, though She
    doesn't take the inevitable consequences of Her own
    actions into account. As a result, every individual may
    suffer from an evolutionary change that was to the benefit
    of each individual. To claim that this is paradoxical is
    to commit the fallacy of composition, as that fallacy is
    defined by economists.

    I has also recently occurred to me that in Hamilton's kin
    selection model, Nature DOES ask a watered down version of
    Kant's question. In Hamilton's model, Nature asks the
    question: "What if everyone whose genome is correlated
    with yours did that?". Or better, "What if everyone did
    that to the extent that their genome is correlated with
    yours?".

    Please note the use of the words "correlated with", rather
    than "similar to". I have just been thru this issue with
    Hoelzer and McGinn. If everyone is similar, then no one is
    correlated.

    Food for thought, even if Dr. Wilkins will disapprove of
    the anthropomorphism.

    I'm reading _The Narrow Roads of Gene Land vol I_ right now,
    and the way WDH tells it, there is no danger of
    anthropomorphising at all :-) He even discusses the use of
    words like "altruism" and the misunderstandings this cas
    caused, and so realises that without scare quotes they are
    dangerous words...

    Nice metaphor/analogy. I'll steal it at an appropriate time,
    of course.
    --
    Dr John Wilkins [email hidden]
    wilkins.id.auwilkins.id.au "Men mark it when they hit, but do not
    mark it when they miss"
    - Francis
    Bacon

  3. Hi Jim,

    in article [email hidden], Jim Menegay at
    [email hidden] wrote on 6/24/04 10:28 PM:

    Quoted message said:

    For a young person growing up in bourgeois Western
    society, one of the vicissitudes of the process of
    socialization is that perfectly natural self-serving
    behaviors will be met with the query: "What if everyone
    did that?".

    It is a difficult question to even understand, let alone
    answer. I have always been partial to Dunbar's response in
    Heller's "Catch 22": "Well, if everyone did it, then I
    would be a damned fool to do any differently!"

    I have heard that this query can be blamed, ultimately, on
    Emmanuel Kant. (If I have heard wrong, don't expect me to
    actually READ Kant to educate myself - I have recently
    gone thru the ordeal of reading Hamilton, and that was bad
    enough.)

    It has recently occurred to me that in Darwin's Natural
    Selection, Nature never asks Kant's question. Organisms
    are expected to behave self-servingly, even though "if
    everyone did that" the self is ill-served. Ironically,
    Nature sees to it that everyone does do that, though She
    doesn't take the inevitable consequences of Her own
    actions into account. As a result, every individual may
    suffer from an evolutionary change that was to the benefit
    of each individual. To claim that this is paradoxical is
    to commit the fallacy of composition, as that fallacy is
    defined by economists.

    I has also recently occurred to me that in Hamilton's kin
    selection model, Nature DOES ask a watered down version of
    Kant's question. In Hamilton's model, Nature asks the
    question: "What if everyone whose genome is correlated
    with yours did that?". Or better, "What if everyone did
    that to the extent that their genome is correlated with
    yours?".

    Please note the use of the words "correlated with", rather
    than "similar to". I have just been thru this issue with
    Hoelzer and McGinn. If everyone is similar, then no one is
    correlated.

    And I think your argument is a good one, although I also
    think it succeeds by dropping some of the most cherished
    notions about KIN selection held by its more fervent
    advocates.

    Quoted message said:

    Food for thought, even if Dr. Wilkins will disapprove of
    the anthropomorphism.

    This is indeed an interesting idea. However, I think you
    might be misreading Hamilton's model a bit. The model does
    not have Nature asking a question. It does not even posit
    that Nature cares about the future. Instead, Hamilton's
    model illustrates a mechanistic way in which Nature tends to
    blindly explore the population level consequences of
    mutations that affect fitness-altering social behavior. In
    my view, this was the genius of Hamilton's model. He was the
    first AFAIK to model a dynamical evolutionary system that
    included a positive feedback loop, thus potentiating an
    engine of evolutionary change. Viewed in this way, the model
    of kin selection shares fundamental similarities with models
    for the evolution of any signaling system, including the
    coevolution of mutualistic species interactions.

    More food for thought (I hope),

    Guy

  4. [email hidden] (Jim Menegay) wrote in message news:<[email hidden]>...

    Quoted message said:

    For a young person growing up in bourgeois Western
    society, one of the vicissitudes of the process of
    socialization is that perfectly natural self-serving
    behaviors will be met with the query: "What if everyone
    did that?".

    It is a difficult question to even understand, let alone
    answer. I have always been partial to Dunbar's response in
    Heller's "Catch 22": "Well, if everyone did it, then I
    would be a damned fool to do any differently!"

    I have heard that this query can be blamed, ultimately, on
    Emmanuel Kant. (If I have heard wrong, don't expect me to
    actually READ Kant to educate myself - I have recently
    gone thru the ordeal of reading Hamilton, and that was bad
    enough.)

    It has recently occurred to me that in Darwin's Natural
    Selection, Nature never asks Kant's question. Organisms
    are expected to behave self-servingly, even though "if
    everyone did that" the self is ill-served. Ironically,
    Nature sees to it that everyone does do that, though She
    doesn't take the inevitable consequences of Her own
    actions into account. As a result, every individual may
    suffer from an evolutionary change that was to the benefit
    of each individual. To claim that this is paradoxical is
    to commit the fallacy of composition, as that fallacy is
    defined by economists.

    I has also recently occurred to me that in Hamilton's kin
    selection model, Nature DOES ask a watered down version of
    Kant's question. In Hamilton's model, Nature asks the
    question: "What if everyone whose genome is correlated
    with yours did that?". Or better, "What if everyone did
    that to the extent that their genome is correlated with
    yours?".

    Please note the use of the words "correlated with", rather
    than "similar to". I have just been thru this issue with
    Hoelzer and McGinn. If everyone is similar, then no one is
    correlated.

    Food for thought, even if Dr. Wilkins will disapprove of
    the anthropomorphism.

    This is essentially the Tragedy of the Commons, as outlined
    by Hardin in 1968, and LLoyd George a long while before
    that. And yes, it can be solved by relatedness, for exactly
    the reason you mentioned. Well done!

  5. "Guy Hoelzer" <[email hidden]> wrote in message
    "]news:[email hidden]...

    Quoted message said:

    [Hamilton] was the first AFAIK to model a dynamical
    evolutionary system that included a positive feedback
    loop, thus potentiating an engine of evolutionary change.
    Viewed in this way, the model of kin selection shares
    fundamental similarities with models for the evolution of
    any signaling system, including the coevolution of
    mutualistic species interactions.

    More food for thought (I hope),

    Unfortunately, there are also some fundamental differences.
    If you look at the literature that grew out of Hamilton and
    Axelrod's (1980?) paper, you will see that there are
    enormous complexities in even figuring out whether one
    strategy is superior to another. The space of possible
    strategies is infinite-dimensional. And if you take a look
    at the Hofbauer and Sigmund book, you will see that there
    are huge difficulties in understanding the dynamics, even if
    you are offered a small finite collection of strategies "on
    a platter".

    Agreed that signalling and mutualism are the next stage. But
    I have no illusions that these phenomena will be understood
    in the sense of being rigorously modeled any time soon.
    Nonlinearity makes everything much, much more difficult.
    AFAIK Prigogine's school has still not extended the minimum
    entropy production theorem to systems that are far from
    equilibrium. And they are working with effectively infinite
    populations with a fixed dynamics. The evolution of
    signaling strikes me as considerably more difficult still
    because the invention of new ways to cheat is a
    nondeterministic source of continuing perturbations.

    Hamilton's rule for unilateral altruism was "easy".
    Reciprocity and signaling are going to be very hard. IMHO.

  6. Guy Hoelzer said:

    GH:- Greetings

    JE:- Thanks for your reply.

    Quoted message said:
    Quoted message said:
    Quoted message said:

    JM:- I have always been partial to Dunbar's response in
    Heller's "Catch 22": "Well, if everyone did it, then I
    would be a damned fool to do any differently!" I have
    heard that this query can be blamed, ultimately, on
    Emmanuel Kant. (If I have heard wrong, don't expect me
    to actually READ Kant to educate myself - I have
    recently gone thru the ordeal of reading Hamilton, and
    that was bad enough.) It has recently occurred to me
    that in Darwin's Natural Selection, Nature never asks
    Kant's question. Organisms are expected to behave self-
    servingly, even though "if everyone did that" the self
    is ill-served. Ironically, Nature sees to it that
    everyone does do that, though She doesn't take the
    inevitable consequences of Her own actions into
    account. As a result, every individual may suffer from
    an evolutionary change that was to the benefit of each
    individual. To claim that this is paradoxical is to
    commit the fallacy of composition, as that fallacy is
    defined by economists.

    Quoted message said:
    Quoted message said:

    JE:- The fallacy that is common to Kant, Hamilton and
    "economists" is:
    _____________________________________
    A relative gain for an absolute cost where the relative
    gain < absolute cost.
    _____________________________________

    "If everyone did it" but it only produced a relative
    gain < absolute cost, then everyone _loses_ including
    the relative winner.

    Quoted message said:

    GH:- The meaning of "if everyone did it" escapes me
    here,..

    JE:- The meaning of "everyone" IS unambiguous: it means all
    concerned, no exceptions. So, why did you write that it
    "escapes me here"?

    Quoted message said:

    GH:- but I think the issue of relative vs. absolute
    fitness costs is an important one to resolve. Let's take a
    closer look at the relative fitness model when relative
    fitness gains come at the expense of absolute fitness. A
    classic example from the

    Quoted message said:

    subsumes the relative fitness model. The Fisherian model
    shows that a mutation, say for very attractive epigamic
    traits at the expense of gamete viability or production,
    will increase in frequency in a population if it reduces
    the number of offspring produced by others more than it
    reduces the number of offspring produced by the mutant.
    So, the population size is declining as the attractive/low
    fecundity allele increases in frequency. This process of
    selection MIGHT lead the population to extinction, but it
    MIGHT not. The population size at the new state attractor
    of the system would depend strongly on the relative
    fitness outcomes of interactions among mutants, which
    could conceivably even be synergistic. In that case the
    population size would be drawn to higher numbers as the
    attractive/low fecundity allele approaches fixation.

    JE:- Your argument refutes the position that a relative
    increase can win over an absolute decrease. It can't. In the
    situation where "the relative fitness outcomes of
    interactions among mutants which could conceivably even be
    synergistic" is just a case where absolute fitness INCREASED
    because the relationship had become MUTUALISTIC.

    Quoted message said:

    GH:- When an altruism mutation causes relative fitness to
    increase (rb>c) and absolute fitness to decrease, the the
    "winner" wins relatively. This is true whether selection
    is pushing the population to extinction or not.

    JE:- To my knowledge, nobody has ever suggested, including
    myself, that it was not true that: "When an altruism
    mutation causes relative fitness to increase (rb>c) and
    absolute fitness to decrease, then the "winner" wins
    relatively." What REMAINS to be debated is: can just a
    relative win, at just one point in time be sufficient to
    determine that the gene has spread? The answer is NO simply
    because Hamilton's rule cannot discriminate between a
    reduction of altruism (+c) which requires just a relative
    measure and mutualism (-c) which requires an absolute
    measure. Mutualism and altruism stand in absolute
    contradiction to each other.

    --------------quote----------------------

    1) 22/01/2004:

    JE:- What is the difference between a reduced positive c and
    a negative c? If c was an abolute measure of fitness then
    yes, a real difference exists. However c is only a relative
    fitness cost and not an absolute fitness cost, so what is
    the difference?

    BOH:-

    As far as the rule is concerned, none.

    ----------- end quote -------------------- The rule cannot
    discriminate between a reduced +c and -c because no general
    term exists within it that represents the total Darwinian
    fitness of the actor. Without it organism fitness altruism
    (OFM) cannot be separated from organism fitness mutualism
    (OFM) within the rule proving the rule is biologically
    unintelligible.

    Darwinian fitness is only implied as the negative value cmax
    (the maximum cost c to the actor). This value does not
    appear anywhere within the rule as a general term so
    altruism can never be established. Hamilton's rule cannot
    know if just a relative win at just one point in time
    produces an absolute cost > or < relative win to recipients
    so the rule cannot determine if the altruistic gene is
    moving towards extinction or not! If an accountant audited a
    companies books where that company only indicated that it
    made a big profit for one week but omitted to say that it
    made a massive loss over that financial year, (relative gain
    at an absolute loss) or the company decided to enter debits
    as credits because the accounting rule allowed it (the rule
    could not discriminate between a reduction in non profitable
    losses and mutualistic (traded) gains, then that companies
    books would be deemed fraudulent.

    Quoted message said:
    Quoted message said:

    JE:- This is the logic of war which is explicit within
    Van Valen's incomplete Red Queen hypothesis. Nature does
    not use such a logic because it leads to mutualised
    extinction.

    Quoted message said:

    GH:- John - If I didn't know better I'd swear you were a
    group selectionist at heart. How, in your view of
    evolution, could individual selection avoid driving
    populations to extinction sometimes?

    JE:- Of course populations can become extinct no matter how
    hard each individual within it attempts to increase its own
    Darwinian fitness. A population becomes extinct simply
    because all of the individuals within it make a continual
    absolute fitness loss. Why? because none of them are up to
    the Darwinian task within that environment (possibly because
    they employed Hamilton's faulty logic but I doubt if nature
    is as stupid as we are). My point is a VERY simple one:
    Extinction cannot be SELECTED FOR within any rational
    evolutionary theory. At the Darwinian level of selection
    this means exactly: No Darwinian selectee can be selected to
    reduce its own Darwinian fitness,
    i.e. it cannot be selected to reduce the total number of
    fertile forms it reproduces into one population.
    However it MUST do this to prove OFA. This is why OFA
    refutes Darwinism.

    Quoted message said:

    GH:- If selection acted exclusively at the individual
    level, then individuals should not act "for the good of
    the species", right?If the logic of natural selection
    biases evolution toward an adaptive response to
    extinction, then natural selection must have acted on the
    population level.

    JE:- False. Natural selection produced organism fitness
    mutualism which can be _erroneously_ interpreted as a group
    selective effect.

    Regards,

    John Edser Independent Researcher PO Box 266 Church Pt NSW
    2105 Australia

    [email hidden]

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