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Wednesday, October 27, 2010

Ducks Know Game Theory








 

A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of Nature (2006)

The ducks, naturally, were delighted with this experiment, so they all rapidly paddled into position. But then Harper’s helpers began tossing the bread onto two separated patches of the pond. At one spot, the bread tosser dispensed one piece of bread every five seconds. The second was slower, tossing out the bread balls just once every 10 seconds.

Now, the burning scientific question was, if you’re a duck, what do you do? Do you swim to the spot in front of the fast tosser or the slow tosser? It’s not an easy question. When I ask people what they would do, I inevitably get a mix of answers (and some keep changing their mind as they think about it longer).
Perhaps (if you were a duck) your first thought would be to go for the guy throwing the bread the fastest. But all the other ducks might have the same idea. You’d get more bread for yourself if you switched to the other guy, right? But you’re probably not the only duck who would realize that. So the choice of the optimum strategy isn’t immediately obvious, even for people. To get the answer you have to calculate a Nash equilibrium.

After all, foraging for food is a lot like a game. In this case, the chunks of bread are the payoff. You want to get as much as you can. So do all the other ducks. As these were university ducks, they were no doubt aware that there is a Nash equilibrium point, an arrangement that gets every duck the most food possible when all the other ducks are also pursuing a maximum food-getting strategy.

Knowing (or observing) the rate of tosses, you can calculate the equilibrium point using Nash’s math. In this case the calculation is pretty simple: The ducks all get their best possible deal if one-third of them stand in front of the slow tosser and the other two-thirds stand in front of the fast tosser.

And guess what? It took the ducks about a minute to figure that out. They split into two groups almost precisely the size that game theory predicted. Ducks know how to play game theory!

Tuesday, October 19, 2010

Psychohistory

Hari Seldon, a fictional character, is the intellectual hero of Isaac Asimov's Foundation Series. In his capacity as mathematics professor at Streeling University on Trantor, he developed psychohistory, allowing him to predict the future in probabilistic terms. His prediction of the eventual fall of the Galactic Empire is the reason behind his nickname "The Raven" Seldon.
Psychohistory is a fictional science in Isaac Asimov's Foundation universe which combines history, sociology, and mathematical statistics to make (nearly) exact predictions of the collective actions of very large groups of people, such as the Galactic Empire. It was first introduced in the five short stories (1942–1944) which would later be collected as the 1951 novel Foundation.

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Leonid Hurwicz

Eric S. Maskin

Roger B. Myerson

"for having laid the foundations of mechanism design theory".

"The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007". Nobelprize.org. 20 Oct 2010 http://nobelprize.org/nobel_prizes/economics/laureates/2007/
See Also: 
Jun 04, 2009

Aug 30, 2009

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The Theory of Moral Sentiments

Author Adam Smith
Publication date 1759
The Theory of Moral Sentiments was written by Adam Smith in 1759. It provided the ethical, philosophical, psychological, and methodological underpinnings to Smith's later works, including The Wealth of Nations (1776), A Treatise on Public Opulence (1764) (first published in 1937), Essays on Philosophical Subjects (1795), and Lectures on Justice, Police, Revenue, and Arms (1763) (first published in 1896).

Overview

Broadly speaking, Smith followed the views of his mentor, Francis Hutcheson of the University of Glasgow, who divided moral philosophy into four parts: Ethics and Virtue; Private rights and Natural liberty; Familial rights (called Economics); and State and Individual rights (called Politics).
More specifically, Smith divided moral systems into:
  • Categories of the nature of morality. These included Propriety, Prudence, and Benevolence.
  • Categories of the motive of morality. These included Self-love, Reason, and Sentiment.
Hutcheson had abandoned the psychological view of moral philosophy, claiming that motives were too fickle to be used as a basis for a philosophical system. Instead, he hypothesised a dedicated "sixth sense" to explain morality. This idea, to be taken up by David Hume (see Hume's A Treatise of Human Nature), claimed that man is pleased by utility.
Smith rejected his teacher's reliance on this special sense. Starting in about 1741, Smith set on the task of using Hume's experimental method (appealing to human experience) to replace the specific moral sense with a pluralistic approach to morality based on a multitude of psychological motives. The Theory of Moral Sentiments begins with the following assertion:
How selfish soever man may be supposed, there are evidently some principles in his nature, which interest him in the fortunes of others, and render their happiness necessary to him, though he derives nothing from it, except the pleasure of seeing it. Of this kind is pity or compassion, the emotion we feel for the misery of others, when we either see it, or are made to conceive it in a very lively manner. That we often derive sorrow from the sorrows of others, is a matter of fact too obvious to require any instances to prove it; for this sentiment, like all the other original passions of human nature, is by no means confined to the virtuous or the humane, though they perhaps may feel it with the most exquisite sensibility. The greatest ruffian, the most hardened violator of the laws of society, is not altogether without it.
Smith departed from the "moral sense" tradition of Shaftesbury, Hutcheson, and Hume, as the principle of sympathy takes the place of that organ. "Sympathy" was the term Smith used for the feeling of these moral sentiments. It was the feeling with the passions of others. It operated through a logic of mirroring, in which a spectator imaginatively reconstructed the experience of the person he watches:
As we have no immediate experience of what other men feel, we can form no idea of the manner in which they are affected, but by conceiving what we ourselves should feel in the like situation. Though our brother is on the rack, as long as we ourselves are at our ease, our senses will never inform us of what he suffers. They never did, and never can, carry us beyond our own person, and it is by the imagination only that we can form any conception of what are his sensations. Neither can that faculty help us to this any other way, than by representing to us what would be our own, if we were in his case. It is the impressions of our own senses only, not those of his, which our imaginations copy. By the imagination, we place ourselves in his situation.
Sympathy arose from an innate desire to identify with the emotions of others. It could lead people to strive to maintain good relations with their fellow human beings and provide the basis both for specific benevolent acts and for the general social order. Thus was formed within the beast the psychological basis for the desire to obey natural laws. The Theory of Moral Sentiments culminated in man as self-interested and self-commanded. Individual freedom, according to Smith, was rooted in self-reliance, the ability of an individual to pursue his self-interest while commanding himself based on the principles of natural law.
However, Smith rejected the idea that Man was capable of forming moral judgements beyond a limited sphere of activity, again centered around his own self-interest:
The administration of the great system of the universe ... the care of the universal happiness of all rational and sensible beings, is the business of God and not of man. To man is allotted a much humbler department, but one much more suitable to the weakness of his powers, and to the narrowness of his comprehension: the care of his own happiness, of that of his family, his friends, his country.... But though we are ... endowed with a very strong desire of those ends, it has been entrusted to the slow and uncertain determinations of our reason to find out the proper means of bringing them about. Nature has directed us to the greater part of these by original and immediate instincts. Hunger, thirst, the passion which unites the two sexes, and the dread of pain, prompt us to apply those means for their own sakes, and without any consideration of their tendency to those beneficent ends which the great Director of nature intended to produce by them.
It was in the TMS that Smith first referred to the "invisible hand" to describe the apparent benefits to society of people behaving in their own interests. Smith writes (6th ed. p. 350):
... In spite of their natural selfishness and rapacity, though they mean only their own conveniency, though the sole end which they propose ... be the gratification of their own vain and insatiable desires, they divide with the poor the produce of all their improvements. They are led by an invisible hand to make nearly the same distribution of the necessaries of life, which would have been made, had the earth been divided into equal portions among all its inhabitants, and thus without intending it, without knowing it, advance the interest of the society.
In a published lecture, Vernon L. Smith further argued that Theory of Moral Sentiments and Wealth of Nations together encompassed:
"one behavioral axiom, 'the propensity to truck, barter, and exchange one thing for another,' where the objects of trade I will interpret to include not only goods, but also gifts, assistance, and favors out of sympathy ... whether it is goods or favors that are exchanged, they bestow gains from trade that humans seek relentlessly in all social transactions. Thus, Adam Smith's single axiom, broadly interpreted ... is sufficient to characterize a major portion of the human social and cultural enterprise. It explains why human nature appears to be simultaneously self-regarding and other-regarding."[1]

The Theory of Moral Sentiments: The Fourth Edition

Consists of 6 parts:
  • Part I: Of the propriety of action
  • Part II: Of merit and demerit; or of the objects of reward and punishment
  • Part III: Of the foundations of our judgments concerning our own sentiments and conduct, and of the sense of duty.
  • Part IV: Of the effect of utility upon the sentiments of approbation.
  • Part V: Of the influence of custom and fashion upon the sentiments of moral approbation and disapprobation.
  • Part VI: Of systems of moral philosophy

Part I: Of the propriety of action

Part one of the Theory of Moral Sentiments consists of three sections:
  • Section 1: Of the sense of propriety
  • Section 2: Of the degrees of which different passions are consistent with propriety
  • Section 3: Of the effects of propriety and adversity upon the judgment of mankind with regard to the propriety of action; and why it is more easy to obtain their approbation in the one state than the other

 Part I, Section I: Of the Sense of Propriety

Section 1 consists of 5 chapters:
  • Chapter 1: Of sympathy
  • Chapter 2: Of the pleasure of mutual sympathy
  • Chapter 3: Of the manner in which we judge of the propriety or impropriety of the affections of other men by their concord or dissonance with our own
  • Chapter 4: The same subject continued
  • Chapter 5: Of the amiable and respectable virtues
Part I, Section I, Chapter I: Of Sympathy
According to Smith humans have a natural tendency to care about the well-being of others for no other reason than the pleasure one gets from seeing them happy. He calls this sympathy, defining it "our fellow-feeling with any passion whatsoever" (p. 5). He argues that this occurs under either of two conditions:
  • We see firsthand the fortune or misfortune of another person
  • The fortune or misfortune is vividly depicted to us
Although this is apparently true, he follows to argue that this tendency lies even in "the greatest ruffian, the most hardened violator of the laws of society" (p.2).
Smith also proposes several variables that can moderate the extent of sympathy, noting that the situation that is the cause of the passion is the large determinant of our response:
  • The vividness of the account of the condition of another person
An important point put forth by Smith is that the degree to which we sympathize, or "tremble and shudder at the thought of what he feels", is proportional to the degree of vividness in our observation or the description of the event.
  • Knowledge of the causes of the emotions
When observing the anger of another person, for example, we are unlikely to sympathize with this person because we "are unacquainted with his provocation" and as a result cannot imagine what it is like to feel what he feels. Further, since we can see the "fear and resentment" of those who are the targets of the person's anger we are likely to sympathize and take side with them. Thus, sympathetic responses are often conditional on or their magnitude is determined by the causes of the emotion in the person being sympathized with.
  • Whether other people are involved in the emotion
Specifically, emotions such as joy and grief tell us about the "good or bad fortune" of the person we are observing them in, whereas anger tells us about the bad fortune with respect to another person. It is the difference between intrapersonal emotions, such as joy and grief, and interpersonal emotions, such as anger, that causes the difference in sympathy, according to Smith. That is, intrapersonal emotions trigger at least some sympathy without the need for context whereas interpersonal emotions are dependent on context.

He also proposes a natural 'motor' response to seeing the actions of others: If we see a knife hacking off a person's leg we wince away, if we see someone dance we move in the same ways, we feel the injuries of others as if we had them ourselves.

Smith makes clear that we sympathize not only with the misery of others but also the joy; he states that observing an emotional state through the "looks and gestures" in another person is enough to initiate that emotional state in ourselves. Furthermore, we are generally insensitive to the real situation of the other person; we are instead sensitive to how we would feel ourselves if we were in the situation of the other person. For example, a mother with a suffering baby feels "the most complete image of misery and distress" while the child merely feels "the uneasiness of the present instant" (p. 8).
Part I, Section I, Chapter II: Of Pleasure and mutual sympathy
Smith continues by arguing that people feel pleasure from the presence of others with the same emotions as one's self, and displeasure in the presence of those with "contrary" emotions. Smith argues that this pleasure is not the result of self-interest: that others are more likely to assist oneself if they are in a similar emotional state. Smith also makes the case that pleasure from mutual sympathy is not derived merely from a heightening of the original felt emotion amplified by the other person. Smith further notes that people get more pleasure from the mutual sympathy of negative emotions than positive emotions, but we feel "more anxious to communicate to our friends" (p. 13) our negative emotions.

Smith proposes that mutual sympathy heightens the original emotion and "disburdens" the person of sorrow. This is a 'relief' model of mutual sympathy, where mutual sympathy heightens the sorrow but also produces pleasure from relief "because the sweetness of his sympathy more than compensates the bitterness of that sorrow" (p. 14). In contrast, mocking or joking about their sorrow is the "cruelest insult" one can inflict on another person:
To seem to not be affected by the joy of our companions is but want of politeness; but to not wear a serious countentance when they tell us their afflictions, is real and gross inhumanity (p. 14).
He makes clear that mutual sympathy of negative emotions is a necessary condition for friendship, whereas mutual sympathy of positive emotions is desirable but not required. This is due to the "healing consolation of mutual sympathy" that a friend is 'required' to provide in response to "grief and resentment", as if not doing so would be akin to a failure to help the physically wounded.

Not only do we get pleasure from the sympathy of others, but we also obtain pleasure from being able to successfully sympathize with others, and discomfort from failing to do so. Sympathizing is pleasurable, failing to sympathize is aversive. Smith also makes the case that failing to sympathize with another person may not be aversive to ourselves but we may find the emotion of the other person unfounded and blame them, as when another person experiences great happiness or sadness in response to an event that we think should not warrant such a response.
Part I, Section I, Chapter III: Of the manner in which we judge of the propriety or impropriety of the affections of other men by their concord or dissonance with our own
Smith presents the argument that approval or disapproval of the feelings of others is completely determined by whether we sympathize or fail to sympathize with their emotions. Specifically, if we sympathize with the feelings of another we judge that their feelings are just, and if we do not sympathize we judge that their feelings are unjust.
This holds in matters of opinion also, as Smith flatly states that we judge the opinions of others as correct or incorrect merely by determining whether they agree with our own opinions. Smith also cites a few examples where our judgment is not in line with our emotions and sympathy, as when we judge the sorrow of a stranger who has lost her mother as being justified even though we know nothing about the stranger and do not sympathize ourselves. However, according to Smith these non-emotional judgments are not independent from sympathy in that although we do not feel sympathy we do recognize that sympathy would be appropriate and lead us to this judgment and thus deem the judgment as correct.

Next, Smith puts forth that not only are the consequences of one's actions judged and used to determine whether one is just or unjust in committing them, but also whether one's sentiments justified the action that brought about the consequences. Thus, sympathy plays a role in determining judgments of the actions of others in that if we sympathize with the affections that brought about the action we are more likely to judge the action as just, and vice versa:
If upon bringing the case home to our own breast we find that the sentiments which it gives occasion to, coincide and tally with our own, we necessarily approve of them as proportioned and suitable to their objects; if otherwise, we necessarily disapprove of them, as extravagant and out of proportion (p. 20).
Part I, Section I, Chapter IV: The same subject continued
Smith delineates two conditions under which we judge the "propriety or impropriety of the sentiments of another person":
  • 1 When the objects of the sentiments are considered alone
  • 2 When the objects of the sentiments are considered in relation to the person or other persons
When one's sentiments coincide with another person's when the object is considered alone, then we judge that their sentiment is justified. Smith lists objects that are in one of two domains: science and taste. Smith argues that sympathy does not play a role in judgments of these objects; differences in judgment arise only due to difference in attention or mental acuity between people. When the judgment of another person agrees with us on these types of objects it is not notable; however, when another person's judgment differs from us, we assume that they have some special ability to discern characteristics of the object we have not already noticed, and thus view their judgment with special approbation called admiration.

Smith continues by noting that we assign value to judgments not based on usefulness (utility) but on similarity to our own judgment, and we attribute to those judgments which are in line with our own the qualities of correctness or truth in science, and justness or delicateness in taste. Thus, the utility of a judgment is "plainly an afterthought" and "not what first recommends them to our approbation" (p. 24).

Of objects that fall into the second category, such as the misfortune of oneself or another person, Smith argues that there is no common starting point for judgment but are vastly more important in maintaining social relations. Judgments of the first kind are irrelevant as long as one is able to share a sympathetic sentiment with another person; people may converse in total disagreement about objects of the first kind as long as each person appreciates the sentiments of the other to a reasonable degree. However, people become intolerable to each other when they have no or sympathy for the misfortunes or resentment of each other: "You are confounded at my violence and passion, and I am enraged at your cold insensibility and want of feelings" (p. 26).

Another important point Smith makes is that our sympathy will never reach the degree or "violence" of the person who experiences it, as our own "safety" and comfort as well as separation from the offending object constantly "intrude" on our efforts to induce a sympathetic state in ourselves. Thus, sympathy is never enough, as the "sole consolation" for the sufferer is " to see the emotions of their hearts, in every respect, beat time to his own, in the violent and disagreeable passions" (p. 28). Therefore, the original sufferer is likely to dampen her feelings to be in "concord" with the degree of sentiment expressible by the other person, who feels only due to the ability of one's imagination. It is this which is "sufficient for the harmony of society" (p. 28). Not only does the person dampen her expression of suffering for the purpose of sympathizing, but she also takes the perspective of the other person who is not suffering, thus slowly changing her perspective and allowing the calmness of the other person and reduction of violence of the sentiment to improve her spirits.

As a friend is likely to engage in more sympathy than a stranger, a friend actually slows the reduction in our sorrows because we do not temper our feelings out of sympathizing with the perspective of the friend to the degree that we reduce our sentiments in the presence of acquaintances or a group of acquaintances. This gradual tempering of our sorrows from repeated perspective taking of someone in a more calm state make "society and conversation...the most powerful remedies for restoring the mind to its tranquility" (p. 29).
Part I, Section I, Chapter V: Of the amiable and respectable virtues
Smith starts to use an important new distinction in this section and late in the previous section:
  • The "person principally concerned": The person who has had emotions aroused by an object
  • The spectator: The person observing and sympathizing with the emotionally aroused "person principally concerned"
These two people have two different sets of virtues. The person principally concerned, in "bring[ing] down emotions to what the spectator can go along with" (p. 30), demonstrates "self-denial" and "self-government" whereas the spectator displays "the candid condescension and indulgent humanity" of "enter[ing]into the sentiments of the person principally concerned."

Smith returns to anger and how we find "detestable...the insolence and brutality" of the person principally concerned but "admire...the indignation which they naturally call forth in that of the impartial spectator" (p. 32). Smith concludes that the "perfection" of human nature is this mutual sympathy, or "love our neighbor as we love ourself" by "feeling much for others and little for ourself" and to indulge in "benevolent affections" (p. 32). Smith makes clear that it is this ability to "self-command" our "ungovernable passions" through sympathizing with others that is virtuous.

Smith further distinguishes between virtue and propriety:

Part I, Section II: Of the degrees of which different passions are consistent with propriety

  • Chapter 1: Of the passions which take their origins from the body
  • Chapter 2: Of the passions which take their origins from a particular turn or habit of the imagination
  • Chapter 3: Of the unsocial passions
  • Chapter 4: Of the social passions
  • Chapter 5: Of the selfish passions
Smith starts off by noting that the spectator can sympathize only with passions of medium "pitch". However, this medium level at which the spectator can sympathize depends on what "passion" or emotion is being expressed; with some emotions even the most justified expression of cannot be tolerated at a high level of fervor, at others sympathy in the spectator is not bounded by magnitude of expression even though the emotion is not as well justified. Again, Smith emphasizes that specific passions will be considered appropriate or inappropriate to varying degrees depending on the degree to which the spectator is able to sympathize, and that it is the purpose of this section to specify which passions evoke sympathy and which do not and therefore which are deemed appropriate and not appropriate.
Part I, Section II, Chapter I: Of the passions which take their origins from the body
Since it is not possible to sympathize with bodily states or "appetites which take their origin in the body" it is improper to display them to others, according to Smith. One example is "eating voraciously" when hungry, as the impartial spectator can sympathize a little bit if there is a vivid description and good cause for this hunger, but not to a great extent as hunger itself cannot be induced from mere description. Smith also includes sex as a passion of the body that is considered indecent in the expression of others, although he does make note that to fail to treat a woman with more "gaiety, pleasantry, and attention" would also be improper of a man (p. 39). To express pain is also considered unbecoming.

Smith believes the cause of lack of sympathy for these bodily passions is that "we cannot enter into them" ourselves (p. 40). Temperance, by Smith's account, is to have control over bodily passions.

On the contrary, passions of the imagination, such as loss of love or ambition, are easy to sympathize with because our imagination can conform to the shape of the sufferer, whereas our body cannot do such a thing to the body of the sufferer. Pain is fleeting and the harm only lasts as long as the violence is inflicted, whereas an insult lasts to harm for longer duration because our imagination keeps mulling it over. Likewise, bodily pain that induces fear, such as a cut, wound or fracture, evoke sympathy because of the danger that they imply for ourselves; that is, sympathy is activated chiefly through imagining what it would be like for us.
Part I, Section II, Chapter II: Of the passions which take their origins from a particular turn or habit of the imagination
Passions which "take their origins from a particular turn or habit of the imagination" are "little sympathized with". These include love, as we are unlikely to enter into our own feeling of love in response to that of another person and thus unlikely to sympathize. He further states that love is "always laughed at, because we cannot enter into it" ourselves.
Instead of inspiring love in ourselves, and thus sympathy, love makes the impartial spectator sensitive to the situation and emotions that may arise from the gain or loss of love.

Again this is because it is easy to imagine hoping for love or dreading loss of love but not the actual experience of it, and that the "happy passion, upon this account, interests us much less than the fearful and the melancholy" of losing happiness (p. 49). Thus, love inspires sympathy for not for love itself but for the anticipation of emotions from gaining or losing it.
Smith, however, finds love "ridiculous" but "not naturally odious" (p. 50). Thus, we sympathize with the "humaneness, generosity, kindness, friendship, and esteem" (p. 50) of love. However, as these secondary emotions are excessive in love, one should not express them but in moderate tones according to Smith, as:
All these are objects which we cannot expect should interest our companions in the same degree in which they interest us.
Failing to do so makes bad company, and therefore those with specific interests and "love" of hobbies should keep their passions to those with kindred spirits ("A philosopher is company to a philosopher only" (p. 51)) or to themselves.
Part I, Section II, Chapter III: Of the unsocial passions
Smith talks of hatred and resentment next, as "unsocial passions." According to Smith these are passions of imagination, but sympathy is only likely to be evoked in the impartial spectator when they are expressed in moderate tones. Because these passions regard two people, namely the offended (resentful or angry person) and the offender, our sympathies are naturally drawn between these two. Specifically, although we sympathize with the offended person, we fear that the offended person may do harm to the offender, and thus also fear for and sympathize with the danger that faces the offender.

The impartial spectator sympathizes with the offended person in a manner, as emphasized previously, such that the greatest sympathy occurs when the offended person expresses anger or resentment in a temperate manner. Specifically, if the offended person seems just and temperate in coping with the offense, then this magnifies the misdeed done to the offended in the mind of the spectator, increasing sympathy. Although excess anger does not beget sympathy, neither does too little anger, as this may signal fear or uncaring on the part of the offended. This lack of response is just as despicable to the impartial spectator as is the excesses of anger.

However, in general, any expression of anger is improper in the presence of others. This is because the "immediate effects [of anger] are disagreeable" just as the knives of surgery are disagreeable for art, as the immediate effect of surgery is unpleasant even though long-term effect is justified. Likewise, even when anger is justly provoked, it is disagreeable. According to Smith, this explains why we reserve sympathy until we know the cause of the anger or resentment, as if the emotion is not justified by the action of another person, than the immediate disagreeableness and threat to the other person (and by sympathy to ourselves) overwhelm any sympathy that the spectator may have for the offended. In response to expressions of anger, hatred, or resentment, it is likely that the impartial spectator will not feel anger in sympathy with the offended but instead anger toward the offended for expressing such an aversive. Smith believes that there is some form of natural optimality to the aversiveness of these emotions, as it reduces the propagation of ill will among people, and thus increases the probability of functional societies.

Smith also puts forth that anger, hatred, and resentment are disagreeable to the offended mostly because of the idea of being offended rather than the actual offense itself. He remarks that we are likely able to do without what was taken from us, but it is the imagination which angers us at the thought of having something taken. Smith closes this section by remarking that the impartial spectator will not sympathize with us unless we are willing to endure harms, with the goal of maintaining positive social relations and humanity, with equanimity, as long as it does not put us in a situation of being "exposed to perpetual insults" (p. 59). It is only "with reluctance, from necessity, and in consequence of great and repeated provocations" (p. 60) that we should take revenge on others. Smith makes clear that we should take very good care to not act on the passions of anger, hatred, resentment, for purely social reasons, and instead imagine what the impartial spectator would deem appropriate, and base our action solely on a cold calculation.
Part I, Section II, Chapter IV: Of the social passions
The social emotions such as "generosity, humanity, kindness, compassion, mutual friendship and esteem" are considered overwhelmingly with approbation by the impartial spectator. The agreeableness of the "benevolent" sentiments leads to full sympathy on the part of the spectator with both the person concerned and the object of these emotions and are not felt as aversive to the spectator if they are in excess.
Part I, Section II, Chapter V: Of the selfish passions
The final set of passions, or "selfish passions", are grief and joy, which Smith considers to be not so aversive as the unsocial passions of anger and resentment, but not so benevolent as the social passions such as generosity and humanity. Smith makes clear in this passage that the impartial spectator is unsympathetic to the unsocial emotions because they put the offended and the offender in opposition to each other, sympathetic to the social emotions because they join the lover and beloved in unison, and feels somewhere in between with the selfish passions as they are either good or bad for only one person and are not disagreeable but not so magnificent as the social emotions.
Of grief and joy, Smith notes that small joys and great grief are assured to be returned with sympathy from the impartial spectator, but not other degrees of these emotions. Great joy is likely to be met with envy, so modesty is prudent for someone who has come upon great fortune or else suffer the consequences of envy and disapprobation. This is appropriate as the spectator appreciates the lucky individual's "sympathy with our envy and aversion to his happiness" especially because this shows concern for the inability of the spectator to reciprocate the sympathy toward the happiness of the lucky individual. According to Smith, this modesty wears on the sympathy of both the lucky individual and the old friends of the lucky individual and they soon part ways; likewise, the lucky individual may acquire new friends of higher ranks who he must also be modest to, apologizing for the "mortification" of now becoming their equal:
He generally grows weary too soon, and is provoked, by the sullen and suspicious pride of the one, and by the saucy contempt of the other, to treat the first with neglect, and the second with petulance, till at last he grows habitually insolent, and forfeits the esteem of them all...those sudden changes of fortune seldom contribute much to happiness (p. 66).
The solution is to ascend social rank by gradual steps, with the path cleared for one by approbation before one takes the next step, giving people time to adjust, and thus avoiding any "jealousy in those he overtakes, or any envy in those he leaves behind" (p. 66).
Small joys of every day life are met with sympathy and approbation according to Smith. These "frivolous nothings which fill up the void of human life" (p. 67) divert attention and help us forget problems, reconciling us as with a lost friend.
The opposite is true for grief, with small grief triggering no sympathy in the impartial spectator, but large grief with much sympathy. Small griefs are likely, and appropriately, turned into joke and mockery by the sufferer, as the sufferer knows how complaining about small grievances to the impartial spectator will evoke ridicule in the heart of the spectator, and thus the sufferer sympathizes with this, mocking himself to some degree.

Part I, Section III

Of the effects of propriety and adversity upon the judgment of mankind with regard to the propriety of action; and why it is more easy to obtain their approbation in the one state than in the other

Part V, Section V, Chapter I: Of the influence of Custom and Fashion upon the Sentiments of Approbation and Disapprobation

Smith argues that two principles, custom and fashion, pervasively influence judgment. These are based on the modern psychological concept of associativity: Stimuli presented closely in time or space become mentally linked over time and repeated exposure. In Smith's own words:
When two objects have frequently been seen together, the imagination requires a habit of passing easily from one to the other. If the first is to appear, we lay our account that the second is to follow. Of their own accord they put us in mind of one another, and the attention glides easily along them. (p. 1)
Regarding custom, Smith argues that approbation occurs when stimuli are presented according to how one is accustomed to viewing them and disapprobation occurs when they are presented in a way that one is not accustomed to. Thus, Smith argues for social relativity of judgment meaning that beauty and correctness are determined more by what one has previously been exposed to rather than an absolute principle. Although Smith places greater weight on this social determination he does not discount absolute principles completely, instead he argues that that evaluations are rarely inconsistent with custom, therefore giving greater weight to customs than absolutes:
I cannot, however, be induced to believe that our sense of external beauty is founded altogether on custom...But though I cannot admit that custom is the sole principle of beauty, yet I can so far allow the truth of this ingenious system as to grant, that there is scarce any one external form to please, if quite contrary to custom...(p.14-15).
Smith continues by arguing that fashion is a particular "species" of custom. Fashion is specifically the association of stimuli with people of high rank, for example, a certain type of clothes with a notable person such as a king or a renowned artist. This is because the "graceful, easy, and commanding manners of the great" (p.3) person are frequently associated with the other aspects of the person of high rank (e.g., clothes, manners), thus bestowing upon the other aspects the "graceful" quality of the person. In this way objects become fashionable. Smith includes not only clothes and furniture in the sphere of fashion, but also taste, music, poetry, architecture, and physical beauty.
Smith also points out that people should be relatively reluctant to change styles from what they are accustomed to even if a new style is equal to or slightly better than current fashion: "A man would be ridiculous who should appear in public with a suit of clothes quite different from those which are commonly worn, though the new dress be ever so graceful or convenient" (p. 7).
Physical beauty, according to Smith, is also determined by the principle of custom. He argues that each "class" of things has a "peculiar conformation which is approved of" and that the beauty of each member of a class is determined by the extent to which it has the most "usual" manifestation of that "conformation":
Thus, in the human form, the beauty of each feature lies in a certain middle, equally removed from a variety of other forms that are ugly. (p. 10-11).

Part V, Section V, Chapter II: Of the influence of Custom and Fashion upon Moral Sentiments

Smith argues that the influence of custom is reduced in the sphere of moral judgment. Specifically, he argues that there are bad things that no custom can bring approbation to:
But the characters and conduct of a Nero, or a Claudius, are what no custom will ever reconcile us to, what no fashion will ever render agreeable; but the one will always be the object of dread and hatred; the other of scorn and derision. (p. 15-16).
Smith further argues for a "natural" right and wrong, and that custom amplifies the moral sentiments when one's customs are consistent with nature, but dampens moral sentiments when one's customs are inconsistent with nature.
Fashion also has an effect on moral sentiment. The vices of people of high rank, such as the licentiousness of Charles VIII, are associated with the "freedom and independency, with frankness, generosity, humanity, and politeness" of the "superiors" and thus the vices are endued with these characteristics.

See also

Notes

  1. ^ Smith (1998) p. 3.

References

  • Bonar, J. (1926) The Theory of Moral Sentiments by Adam Smith, Journal of Philosophical Studies, vol. 1, 1926, pp. 333-353.
  • Doomen, J. (2005) Smith’s Analysis of Human Actions, Ethic@. An International Journal for Moral Philosophy vol. 4, no. 2, pp 111-122.
  • Morrow, G. R. (1923) The Ethical and Economic Theories of Adam Smith: A study in the social philosophy of the 18th century, Cornell Studies in Philosophy, no. 13, 1923, pp 91-107.
  • Morrow, G. R. (1923) The Significance of the Doctrine of Sympathy in Hume and Adam Smith, Philosophical Review, vol. XXXII, 1923, pp 60-78.
  • Schneider, H.W. editor (1948) Adam Smith's Moral and Political Philosophy, Harper Torchbook edition 1970, New York.
  • Smith, Vernon L. (1998), The Two Faces of Adam Smith, Southern Economic Journal 

External links

Monday, October 11, 2010

SOHO EIT 304 Latest Image


The Sun Now-

EIT (Extreme ultraviolet Imaging Telescope) images the solar atmosphere at several wavelengths, and therefore, shows solar material at different temperatures. In the images taken at 304 Angstrom the bright material is at 60,000 to 80,000 degrees Kelvin. In those taken at 171 Angstrom, at 1 million degrees. 195 Angstrom images correspond to about 1.5 million Kelvin, 284 Angstrom to 2 million degrees. The hotter the temperature, the higher you look in the solar atmosphere. About the Very Latest SOHO Images

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Current Solar Data (from NOAA)

Today's Space Weather

The Satellite Environment Plot combines satellite and ground-based data to provide an overview of the current geosynchronous satellite environment. Click on a data panel to open an updating secondary window. An updating Satellite Environment Plot window is also available.
Although these data are of interest to the satellite community, they do not include all parameters and energy ranges known to be associated with satellite anomalies. See related information from the NOAA POES satellite -- Auroral Activity Estimates, Relative Intensities of Energetic Particles, and Solar Protons.

Tuesday, October 05, 2010

Quantum suicide and immortality

But for the first time, quantum physicist Seth Lloyd of the Massachusetts Institute of Technology suggests that memories of entanglement can survive its destruction. He compares the effect to Emily Brontë’s novel Wuthering Heights: “the spectral Catherine communicates with her quantum Heathcliff as a flash of light from beyond the grave.Where Susskind leaves off, Seth Lloyd begins

In Max' Tegmark's assessment of Quantum Immortality, "Although quantum immortality is motivated by the quantum suicide thought experiment, Max Tegmark has stated that he does not believe that quantum immortality is a consequence of his work,"I thought to trace some perspective about what happened with the thought experiment of Susskind's versus the telling tale of what happens inside the blackhole based on the idea of something that is left outside the blackhole for consideration.

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The consequence of sound in analogy serves to help us not only orientate causal action from direct contact, but the realization that such contact has consequences. It is befitting such thought experiments or analogies can help push the mind toward accepting the world in a different light so it understands that there is more to the world in which we see as observers, but also of what we meet through such contact as a manifestation through experiences.

Savas Dimopoulos

Here’s an analogy to understand this: imagine that our universe is a two-dimensional pool table, which you look down on from the third spatial dimension. When the billiard balls collide on the table, they scatter into new trajectories across the surface. But we also hear the click of sound as they impact: that’s collision energy being radiated into a third dimension above and beyond the surface. In this picture, the billiard balls are like protons and neutrons, and the sound wave behaves like the graviton.See Also: The Sound Of Billiard Balls

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In quantum mechanics, quantum suicide is a thought experiment. It was originally published independently by Hans Moravec in 1987 and Bruno Marchal in 1988 and was further developed by Max Tegmark in 1998.[1] It attempts to distinguish between the Copenhagen interpretation of quantum mechanics and the Everett many-worlds interpretation by means of a variation of the Schrödinger's cat thought experiment. The experiment involves looking at the Schrödinger's cat experiment from the point of view of the cat.

Quantum immortality is a metaphysical speculation derived from the quantum suicide thought experiment. It states that the many-worlds interpretation of quantum mechanics implies that conscious beings are immortal.[2] Hugh Everett is reported to have believed in quantum immortality, although he never published on either quantum suicide or quantum immortality.[3]

Contents


The quantum suicide thought experiment

Unlike Schrödinger's cat-in-a-box thought experiment which used poison gas and a radioactive decay trigger, this human version involves some sort of lethal weapon and a machine which measures the spin value of a photon. Every 10 seconds, the spin value of a randomly passing photon is measured. Depending on the orientation of the spin, either the weapon is deployed and the man is killed, or it is not and he lives.

With each run of the experiment there is a 50-50 chance that the weapon will be triggered and the experimenter will die. According to the Copenhagen interpretation, the weapon will (in all likelihood) eventually be triggered and the experimenter will die. If the many-worlds interpretation is correct then at each run of the experiment, the experimenter will be split into several worlds in which he dies and a few worlds in which he survives. In the worlds where the experimenter dies, he will cease to be a conscious entity.

However, from the point of view of the non-dead copies of the experimenter, the experiment will continue running without his ceasing to exist, because at each branch, he will only be able to observe the result in the world in which he survives, and if many-worlds is correct, the surviving copies of the experimenter will notice that he never seems to die, therefore "proving" himself to be invulnerable to the killing mechanism in question, from his own point of view.

If the many-worlds interpretation is true, the measure (given in the many-worlds interpretation by the squared norm of the wavefunction) of the surviving copies of the experimenter will decrease by 50% with each run of the experiment, but will remain non-zero. So, if the surviving copies become experimenters, those copies will either die during their first attempt, or survive creating duplicates of themselves (copies of copies, that will survive finitely or die).

 Quantum immortality

The idea behind quantum immortality is that, in running the quantum thought experiment, the experimenter may remain alive and, thus, be able to experience at least one of the universes in this set (even though these universes form a tiny subset of all possible universes). Over time, the experimenter would therefore never perceive his or her own death.

Surviving the quantum thought experiment

The small-probability remaining branches are in effect, though unlikely to be experienced by most of the copies of the experimenter that started out. Most of the observer-moments in the universe will not be in such low-measure situations because measure is proportional to the number of copies and therefore the number of that type of observer-moment.

However, the rareness of an observer moment has no relation to presence or absence of experience; if the many-worlds interpretation is true, all non-zero observer moments are experienced, even rare ones. Believers in quantum suicide think it gives a recipe for entering into rare observer moments. The experimenter indeed knows that this type of observer moment is rare, which is why it would be unlikely to occur in interpretations of quantum physics that don't have many worlds.

In the branching worlds, the observer has one of two possibilities, live or die. If he is alive, then presumably he does not recall the death. In the other reality, he is dead (and ceases to exist in that reality). If the experiment is repeated over and over, there will always be a reality where the observer never dies. This reality will finally convince the observer that it is impossible to die.

Required assumptions

Proponents of the quantum immortality point out that, although it is highly speculative, the theory does not violate any known laws of physics—but only if certain controversial assumptions are made:
  1. That the many-worlds interpretation is the correct interpretation of quantum mechanics, as opposed to the Copenhagen interpretation, the latter of which does not involve the existence of parallel universes. Note, though, that parallel universes may be possible through other mechanisms in the Copenhagen interpretation.
  2. Not dying some finite number of times (perhaps in parallel universes) constitutes immortality.
  3. Permanent cessation of the consciousness, along with the ability to observe, occurs at physical destruction (death).

Arguments against quantum immortality

David Papineau argues against the quantum suicide argument thus: "If one outcome is valuable because it contains my future experiences, surely an alternative outcome which lacks those experiences is of lesser value, simply by comparison with the first outcome. Since expected utility calculations hinge on relative utility values rather than absolute ones, I should be concerned about death as long as the outcome where I die is given less utility than the one where I survive, whatever the absolute value."[4]

Jacques Mallah expands on this "utility" argument,[5] suggesting that quantum suicide cannot give a recipe for "entering into" rare or "low measure" observer moments. This is because the amount of consciousness or "measure" of these rare observer moments is exactly as much as it would have been without the quantum suicide; in that case quantum suicide merely removes the other observer-moments. This is equivalent, in Mallah's view, to a single-world situation in which one starts off with many copies of the experimenter, and the number of surviving copies is decreased by 50% with each run. Therefore, according to this argument, the quantum nature of the experiment provides no benefit to the experimenter; in terms of his/her subjective life expectancy or rational decision making, or even in terms of his/her trying to decide whether the many-worlds interpretation is correct, the many-worlds interpretation gives results that are the same as that of a single-world interpretation.[5]
Mallah also gives a "general argument against immortality" which argues that if people are immortal, then it is vanishingly unlikely to find oneself to be of a normal age rather than abnormally old.

It has been countered that in a many-worlds interpretation, the amplitude of being the living experimenter can be halved repeatedly without ever reaching zero. However, this point is not disputed by opponents of quantum suicide; rather, they claim that it is not the issue, while Mallah claims that the decrease in measure is the issue.

Max Tegmark's work

Using logic similar to that of Greg Egan's Dust Theory, Max Tegmark argues that under any sort of normal conditions, before someone dies they undergo a period of diminishment of consciousness, a non-quantum decline (which can be anywhere from seconds to minutes to years), and hence there is no way of establishing a continuous existence in this world to an alternate one in which the person ceases to exist.[6] Although quantum immortality is motivated by the quantum suicide thought experiment, Max Tegmark has stated that he does not believe that quantum immortality is a consequence of his work.

David Lewis's work

The philosopher David Lewis, in "How Many Lives Has Schrödinger's Cat?", remarked that in the vast majority of the worlds in which an immortal observer might find himself (i.e. the subset of quantum-possible worlds in which the observer does not die), he will survive, but will be terribly maimed. This is because in each of the scenarios typically given in thought experiments (nuclear bombing, Russian roulette, etc.), for every world in which the observer survives unscathed, there are likely to be far more worlds in which the observer survives terribly disfigured, badly disabled, and so on. It is for this reason, Lewis concludes, that we ought to hope that the many-worlds interpretation is false.[7]

Derek Parfit's work

In Reasons and Persons Derek Parfit used thought experiments ranging from teleportation to gradual changes to your psychology to argue that personal identity isn't a deep fact about the world. After quantum suicide there would be worlds with persons that shared your memories and there would be worlds without such persons. There is no Cartesian ego which does or doesn't survive.

Other criticism and controversy

Critics[who?] contend quantum suicide fails as a thought experiment to achieve its intended purpose. Nonetheless, there are arguments[specify] involving anthropic considerations among entire universes which do provide evidence[specify] for the many-worlds interpretation.[8]
Quantum suicide and quantum immortality remain controversial because a number of thinkers[who?] disagree on its success or failure and, particularly, its relevance to life expectancy and decision making.

In fiction

Authors[who?] of science fiction have used themes involving both quantum suicide and quantum immortality. The idea that authors exploit is that a person who dies in one world may survive in another world or parallel universe.

Quantum suicide

Quantum suicide themes have been explored in the following works:

Quantum immortality

Quantum immortality themes have been explored in several works:

Books

See also

References

  1. ^ Tegmark, Max The Interpretation of Quantum Mechanics: Many Worlds or Many Words?, 1998
  2. ^ Goertzel, Ben; Bugaj, Stephan Vladimir (2006). The path to posthumanity: 21st century technology and its radical implications for mind, society and reality. Academica Press, LLC. p. 343. 
  3. ^ See Keith Lynch's recollections in Eugene Shikhovtsev's Biography of Everett [1]
  4. ^ Papineau, David "Why you don’t want to get in the box with Schrödinger's cat" Analysis 63: 51–58. 2003
  5. ^ a b Mallah, Jacques Many-Worlds Interpretations Can Not Imply 'Quantum Immortality', 2009
  6. ^ Tegmark, Max Quantum immortality, November 1998
  7. ^ David Lewis. How Many Lives Has Schrödinger's Cat? The Jack Smart Lecture, Canberra, 27 June 2001. Australasian Journal of Philosophy. Vol. 82, No. 1, pp. 3–22; March 2004, pp. 21.
  8. ^ Observational Consequences of Many-Worlds Quantum Theory, 1999.

External links