Showing posts with label Game Theory. Show all posts
Showing posts with label Game Theory. Show all posts

Tuesday, December 29, 2009

A Yearning for Truth

Beauty, Plato wrote, is not easy to define, but something that "slips through and evades us". For this reason, many logic-oriented philosophical approaches tend to divorce and even oppose truth and beauty. "The question of truth", wrote logician Gottlob Frege in one of his most influential works, "would cause us to abandon aesthetic delight for an attitude of scientific investigation."


 For some who do not see the very questions of what motivates one to distinguish what it is that attracts our search for meaning it is not lost on me that the push toward experimentation is a validation of sorts to the thought or idea of what can exist in another state(aesthetic delight) can arrive for our discriminative facet of clarification as if demonstrated in some prism of light.


“Nature and Nature’s laws long lie hid in Night: God said ‘Let Newton be,’ and all was light.”Alexander Pope’s
As crazy  as Sheldon Glasgow would have us "seen of the character of Newton," it should not be lost that the diversity of opinion coming from such a man,  was to gather and understand all he could about who we are as human beings.



'Tis yours a Bacon or a Locke to blame,
A Newton's genius, or a Milton's flame:
But oh! with One, immortal one dispense;
The source of Newton's Light, of Bacon's Sense.

(Dunciad, III, 215-18)


The Alchemy search for understanding was more then the aesthetic delight that would appear so off offhandedly as a sign of the ignorance,  was a constant search throughout the times for our  humanity,  that it was not without a sense of purpose that such persons would come to want to know about what materialization would be solidified in human experience.


Opticks

Opticks is a book written by English physicist Isaac Newton that was released to the public in 1704. It is about optics and the refraction of light, and is considered one of the great works of science in history.

Opticks was Newton's second major book on physical science. Even if he had not made his better-known discoveries concerning gravity and the invention of the calculus, Opticks would have given him the reputation as one of the greatest scientists of his time.

This work represents a major contribution to science, different from—but in some ways rivaling—the Principia. The Opticks is largely a record of experiments and the deductions made from them, covering a wide range of topics in what was later to be known as physical optics. That is, this work is not a geometric discussion of catoptrics or dioptrics, the traditional subjects of reflection of light by mirrors of different shapes and the exploration of how light is "bent" as it passes from one medium, such as air, into another, such as water or glass. Rather, the Opticks is a study of the nature of light and colour and the various phenomena of diffraction, which Newton called the "inflexion" of light.

In this book Newton sets forth in full his experiments, first reported in 1672, on dispersion, or the separation of light into a spectrum of its component colours. He shows how colours arise from selective absorption, reflection, or transmission of the various component parts of the incident light. His experiments on these subjects and on the problems of diffraction (which he never fully mastered) set the subject of optics on a new level.

The search for the understanding of the "refraction of light" was such an effort to see this aspect developed through our cultural understanding as to see the ultimate source as something that could descend here to earth from above, and that what was above, could be brought from the earth.

A final aspect of beauty that was often cited by readers might be called "deep play". This is the sense that we are actively engaged with something outside ourselves that is responding to us - rather than watching a game of our own construction or watching nature from a detached distance.


***

Thomas Young, English scientist 1773-1829

Vision and colour theory: Young has also been called the founder of physiological optics. In 1793 he explained the mode in which the eye accommodates itself to vision at different distances as depending on change of the curvature of the crystalline lens; in 1801 he was the first to describe astigmatism; and in his Lectures he presented the hypothesis, afterwards developed by Hermann von Helmholtz, that colour perception depends on the presence in the retina of three kinds of nerve fibres which respond respectively to red, green and violet light. This theory was experimentally proven in 1959.

So we see where we can move forward in time as to the perfect of experimentation as to something that seem quite beautiful as evidence of the color of light could have been cast through a rain drop, or sifted through some glass object, as to reflect something equally beautiful,  as a part of the white light as a recognition of the source. 

See:Backreaction: 350 years Royal Society

See Also:Plato's Nightlight Mining Company is claiming Aristarchus Crater and Surrounding Region

Sunday, November 15, 2009

Economic Translation From Boards

How many of you have joined your fellow brain jammers to seek a solution for a time for creative purpose?

Dr:Lee Smolin's article on arXiv.

Having read it, I find it amusing that the language of economics can be recast in the language of physics. That said a lot of it is hard going, mathematically, though the language he uses is familiar to me, having seen things like conserved currents in quantum electrodynamics.

I think caution should be taken in placing too much emphasis on the math. The ultimate goal of economics is to describe the monetary interactions of humans and how phenomena rooted in the exchange of goods, services, assets and money have broader repercussions (simple example: What happens if everybody saves money? You induce an economic recession, explained by the paradox of thrift.)

Hi Dr.

In bold isn't this what eventually happens when the economy undergoes a correction and we see the events that we do, to realize, that people are now nervous about how they are going to be able to care of themselves? So priorities change, your dollars in your pocket become "more accountable."

BEYOND REDUCTIONISM: REINVENTING THE SACRED


[/quote]Stuart Alan Kauffman (28 September 1939) is an US American theoretical biologist and complex systems researcher concerning the origin of life on Earth. He is best known for arguing that the complexity of biological systems and organisms might result as much from self-organization and far-from-equilibrium dynamics as from Darwinian natural selection, as well as for proposing the first models of Boolean networks.

Kauffman presently holds a joint appointment at the University of Calgary in Biological Sciences and in Physics and Astronomy, and is an Adjunct Professor in the Department of Philosophy. He is also an iCORE (Informatics Research Circle of Excellence) [1] chair and the director of the Institute for Biocomplexity and Informatics.
[/quote]


BEYOND REDUCTIONISM

See:Reinventing the Sacred: A New View of Science, Reason, and Religion (Hardcover)

Self-organization is a process of attraction and repulsion in which the internal organization of a system, normally an open system, increases in complexity without being guided or managed by an outside source. Self-organizing systems typically (though not always) display emergent properties.
Stuart Kauffman - The Evolution of Economic Wealth and Innovation
I think this is indeed the effort that translation occur from new proposals, to what finally happens to the individuals who partakes of this economic endeavor. I find "specialization can give perspective"  that would not normally be granted the person on the street, but that it is equally important to understand how these economic factors mathematically can play a part in our everyday lives.

The idea of economic correction itself?


(click on Image for larger viewing)

According to Ray Kurzweil, his logarithmic graph of 15 lists of paradigm shifts for key historicexponential trend.[clarification needed] The lists' compilers include Carl Sagan, Paul D. Boyer, Encyclopædia Britannica, American Museum of Natural History, and University of Arizona.

A person once offered the perspective of Kurzweil and the singularity .

Now, how would this mean anything if there was not some comparison in phenomenological relation that we might push perspective forward?

At what times do we find such a thing taking place that all kinds of new things are introduced to send the system too,  already in chaos and find this is an opportunistic time to advance mathematical proposals into the system to see entropic valuation materialize to the person on the street?

A location perhaps, housing the possibilities of the "neurological synapse" considered to be the "white board of creative possibilities?"
***

This Nobel Prize award was of interest to me.

The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007


"for having laid the foundations of mechanism design theory"

Leonid Hurwicz


Eric S.Maskin


Roger B. Myerson

I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

A Theory is Born

PBS: Game Theory Explained
This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.

I wanted to saved a little time, for I would be sure that this highlight in bold would draw attention? So, I thought to preempt it.
You have to understand where symmetry "begins and is possible" to understand that such a place, can exist in the minds of those who go there and become part of the process. This does not define those with agendas,  but also recognizes that if we partake as watchers of this process, we can be assured that citizens are given their full rights and respect while capitalism seeks to have it's mandate.

Saturday, October 03, 2009

Creating the Perfect Human Being or Maybe.....

..... a Frankenstein?:)




Seriously , there are defined differences in the human being versus AI Intelligence. I think people have a tendency to blurr the lines on machinery. This of course required some reading and wiki quotes herein help to orientate.

Of course the pictures in fiction development are closely related to the approach to development, while in some respects it represents to be more the development of the perfect human being


It seems there is a quest "to develop" human beings, not just robots.


Artificial Intelligence (AI) is the intelligence of machines and the branch of computer scienceintelligent agents,"[1] where an intelligent agent is a system that perceives its environment and takes actions which maximize its chances of success.[2] John McCarthy, who coined the term in 1956,[3][4] which aims to create it. Textbooks define the field as "the study and design of defines it as "the science and engineering of making intelligent machines."
The field was founded on the claim that a central property of humans, intelligence—the sapience of Homo sapiens—can be so precisely described that it can be simulated by a machine.[5] This raises philosophical issues about the nature of the mind and limits of scientific hubris, issues which have been addressed by myth, fiction and philosophy since antiquity.[6] Artificial intelligence has been the subject of breathtaking optimism,[7] has suffered stunning setbacks[8][9] and, today, has become an essential part of the technology industry, providing the heavy lifting for many of the most difficult problems in computer science.
AI research is highly technical and specialized, deeply divided into subfields that often fail to communicate with each other.[10] Subfields have grown up around particular institutions, the work of individual researchers, the solution of specific problems, longstanding differences of opinion about how AI should be done and the application of widely differing tools. The central problems of AI include such traits as reasoning, knowledge, planning, learning, communication, perception and the ability to move and manipulate objects.[11] General intelligence (or "strong AI") is still a long-term goal of (some) research.[12]



Rusty the Tin man

Lacking a heart.....

Knowledge representation

Knowledge representation[43] and knowledge engineering[44] are central to AI research. Many of the problems machines are expected to solve will require extensive knowledge about the world. Among the things that AI needs to represent are: objects, properties, categories and relations between objects;[45] situations, events, states and time;[46] causes and effects;[47][48] and many other, less well researched domains. A complete representation of "what exists" is an ontology[49] (borrowing a word from traditional philosophy), of which the most general are called upper ontologies. knowledge about knowledge (what we know about what other people know);
Among the most difficult problems in knowledge representation are:
Default reasoning and the qualification problem
Many of the things people know take the form of "working assumptions." For example, if a bird comes up in conversation, people typically picture an animal that is fist sized, sings, and flies. None of these things are true about all birds. John McCarthy identified this problem in 1969[50] as the qualification problem: for any commonsense rule that AI researchers care to represent, there tend to be a huge number of exceptions. Almost nothing is simply true or false in the way that abstract logic requires. AI research has explored a number of solutions to this problem.[51]
The breadth of commonsense knowledge
The number of atomic facts that the average person knows is astronomical. Research projects that attempt to build a complete knowledge base of commonsense knowledgeCyc) require enormous amounts of laborious ontological engineering — they must be built, by hand, one complicated concept at a time.[52] A major goal is to have the computer understand enough concepts to be able to learn by reading from sources like the internet, and thus be able to add to its own ontology. (e.g.,
The subsymbolic form of some commonsense knowledge
Much of what people know is not represented as "facts" or "statements" that they could actually say out loud. For example, a chess master will avoid a particular chess position because it "feels too exposed"[53] or an art critic can take one look at a statue and instantly realize that it is a fake.[54] These are intuitions or tendencies that are represented in the brain non-consciously and sub-symbolically.[55] Knowledge like this informs, supports and provides a context for symbolic, conscious knowledge. As with the related problem of sub-symbolic reasoning, it is hoped that situated AI or computational intelligence will provide ways to represent this kind of knowledge.[55]


Bicentennial man

....they wanted to embed robotic feature with emotive functions...

Social intelligence


Kismet, a robot with rudimentary social skills
Emotion and social skills[73] play two roles for an intelligent agent. First, it must be able to predict the actions of others, by understanding their motives and emotional states. (This involves elements of game theory, decision theory, as well as the ability to model human emotions and the perceptual skills to detect emotions.) Also, for good human-computer interaction, an intelligent machine also needs to display emotions. At the very least it must appear polite and sensitive to the humans it interacts with. At best, it should have normal emotions itself.



....finally, having the ability to dream:)

Integrating the approaches

Intelligent agent paradigm
An intelligent agent is a system that perceives its environment and takes actions which maximizes its chances of success. The simplest intelligent agents are programs that solve specific problems. The most complicated intelligent agents are rational, thinking humans.[92] The paradigm gives researchers license to study isolated problems and find solutions that are both verifiable and useful, without agreeing on one single approach. An agent that solves a specific problem can use any approach that works — some agents are symbolic and logical, some are sub-symbolic neural networks and others may use new approaches. The paradigm also gives researchers a common language to communicate with other fields—such as decision theory and economics—that also use concepts of abstract agents. The intelligent agent paradigm became widely accepted during the 1990s.[93]

Agent architectures and cognitive architectures

Researchers have designed systems to build intelligent systems out of interacting intelligent agents in a multi-agent system.[94] A system with both symbolic and sub-symbolic components is a hybrid intelligent system, and the study of such systems is artificial intelligence systems integration. A hierarchical control system provides a bridge between sub-symbolic AI at its lowest, reactive levels and traditional symbolic AI at its highest levels, where relaxed time constraints permit planning and world modelling.[95] Rodney Brooks' subsumption architecture was an early proposal for such a hierarchical system.
So to me there is an understanding that needs to remain consistent in our views as one moves forward here to see that what is create is not really the human being that we are, but a manifestation of. I think people tend to "loose perspective" on human intelligence versus A.I. So that the issue then is to note these differences? This distinction to me rests in "what outcomes are possible in the diversity of human population matched to a purpose for personal development toward an ideal." No match can be found in terms of this creative attachment which can arise distinctive to each person's in probable outcome. The difference here is that "if" all knowledge already existed, and "if" we were to have access to this "collective unconscious per say," then how it is that such thinking cannot point toward new paradigms for personal development that are developed in society? New science? AI Intelligence already has all these knowledge factors inclusive, so it can give outcomes according to a "quantum leap??":) No, it needs human intervention, or AI can already give us that new science? You see? There would be "no need" for an Einstein?


***

Friday, February 20, 2009

Oh Dear!... How Technology has Changed Things

Mathematics, rightly viewed, possesses not only truth, but supreme beautya beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.--BERTRAND RUSSELL, Study of Mathematics


The "Talking Pictures" Projection Wagon-
In the 1920's about the only entertainment that came to the rural community of Leakey, Texas was the traveling tent shows. This form of family entertainment would come to the canyon about once a year to the delight of all. Everyone looked forward to the horse drawn wagons that brought the much anticipated entertainment to town. In later years the horses were replaced by the Model T Fords but this form of transportation did not deter the excitement.
See:"Leakey's Last Picture Show" by Linda Kirkpatrick
Vintage photos courtesy Lloyd & Jackie Shultz

It is important sometimes to hone in on exactly what sets the mind to have it exemplify itself to a standard that bespeaks to the idealizations that can come forward from a most historical sense. It is in this way that while one can envision where the technological views have replaced the spoken word in movie pictures, we can see the theatre above as an emblazoned realization of what changes has been brought to society and what may have been lost in some peoples eyes.


This is a photograph of author and philosopher Robert M. Pirsigtaken by Ian Glendinning on the eve of the Liverpool conference of 7th July 2005.
What is in mind is a sort of Chautauqua...that's the only name I can think of for it...like the traveling tent-show Chautauquas that used to move across America, this America, the one that we are now in, an old-time series of popular talks intended to edify and entertain, improve the mind and bring culture and enlightenment to the ears and thoughts of the hearer. The Chautauquas were pushed aside by faster-paced radio, movies and TV, and it seems to me the change was not entirely an improvement. Perhaps because of these changes the stream of national consciousness moves faster now, and is broader, but it seems to run less deep. The old channels cannot contain it and in its search for new ones there seems to be growing havoc and destruction along its banks. In this Chautauqua I would like not to cut any new channels of consciousness but simply dig deeper into old ones that have become silted in with the debris of thoughts grown stale and platitudes too often repeated.
Zen and the Art of Motorcycle Maintenance Part 1 Chapter 1.(Bold added by me for emphasis)

I wanted to take the conversation and book presented by Phil and immortalize it in a way by laying it out for examination. Regardless of my opinions and viewpoint, the world goes on and the written work of Robert Pirsig persists as a "object of the material." In the beginning, no matter the choice to illuminate the ideal, it has been transgressed in a way by giving the symbols of language to a discerning mind and verily brought to that same material world for examination. How ever frustrating this may seem for Pirsig, it is a fact of light that any after word will reveal more then what was first understood. Reflection has this way about it in the historical revelation, of how the times are changing. Things dying and becoming new. The moon a reflection of the first light.


The conclusion of the whole matter is just this,—that until a man knows the truth, and the manner of adapting the truth to the natures of other men, he cannot be a good orator; also, that the living is better than the written word, and that the principles of justice and truth when delivered by word of mouth are the legitimate offspring of a man’s own bosom, and their lawful descendants take up their abode in others. Such an orator as he is who is possessed of them, you and I would fain become. And to all composers in the world, poets, orators, legislators, we hereby announce that if their compositions are based upon these principles, then they are not only poets, orators, legislators, but philosophers.
Plato, The Dialogues of Plato, vol. 1 [387 AD] PHAEDRUS.


***


IN announcing himself in the written work with regards to the IQ given in signalling the identity of the character Phaedrus, it was important that one see this in a way that excuses are not made, and allowances not be set forth for what was to become the lone wolf. John Nash too, had his excursions into the bizarre as well, was to know that in the "end of his synopsized life," a certain contention that he had to deal with in this inflection of his disease, as part of his make-up. Was to deal with, while now, he continues to move on with his life. He is aware of the intrusions that personage can do as it infringes from the periphery, as ghosts of his mind too.

To me in reading John Nash's biography in historical movie drama, was to bring attention to what cannot be condoned by exception, when allowing genius to display it's talents, while causing a disruption not only to themself, but to see the elite make allowances for these transgressions. Pattern seeking is not to be be rifting the idea, that we cannot look into the very structure of reality and see what makes it tick? Just that we do not get lost in travelling the journey.

Practising escapism was to deny oneself the responsibility of becoming whole. To allow for genius, as an exception, would mean to not recognize that the intellect is part and parcel of the greater whole of the person called Robert Pirsig or John Nash.

Who of us shall placate failure as a sure sign of genius and allow the student 's failure as acceptable? This was a transgression seen from another perspective and as afterthought realized in a mistaken perception "about broadcasting Phaedrus" as some towering voice from the past as relevant in todays world, because of the location and time in history?


***



Click on link Against symmetry (Paris, June 06)

While I may use the alias of Plato and look at the substance of his written work, it is also from that view point such a discussion had to take place within the context of the written prose about two people in this Socratic method, that while worlds in the dialogues existed in speech, no such persons were there at the time. Yet, such thoughts are transmitted and established in that historical sense, and moved forward to this time.


Against symmetry (Paris, June 06)


To me there are two lines of thought that are being established in science that in Lee Smolin's case is used to move away from the thinking of the idea of Plato's symmetry by example. To see such trademarks inherent in our leaders of science is too wonder how they to, have immortalize the figures of speech, while trying hard to portray the point of view that has been established in thought. These signatures have gone from Heisenberg to Hooft. And the list of names who have embedded this move to science, as a education tool, that is always inherent in the process. That reference is continually made.

IN this sense I do not feel I had done anything wrong other then to ignite the idealization I have about what that sun means to me, as the first light in a psychological sense. Where it resides in people. How divorce we can be from it while going on about our daily duties existing in the world. That there also resides this "experience about our beginnings." To ignite what the word of geometrics has done in the abstract sense. How much closer to the reality such a architecture is revealed in Nature's way, to know that we had pointed our observations back inside, to reveal the world outside.


***


See Also:

  • Stargazers and Hill Climbers



  • Evolutionary Game Theory



  • Inside the Mathematical Universe
  • Sunday, July 27, 2008

    Gran Sasso and the Pyramid

    What good is a universe without somebody around to look at it?
    Robert Dicke


    This summer, CERN gave the starting signal for the long-distance neutrino race to Italy. The CNGS facility (CERN Neutrinos to Gran Sasso), embedded in the laboratory's accelerator complex, produced its first neutrino beam. For the first time, billions of neutrinos were sent through the Earth's crust to the Gran Sasso laboratory, 732 kilometres away in Italy, a journey at almost the speed of light which they completed in less than 2.5 milliseconds. The OPERA experiment at the Gran Sasso laboratory was then commissioned, recording the first neutrino tracks.

    Now of course most of you know the namesake with which I use to explain, is an aspect of the development of what are "shadows" to many of us, also, reveal a direction with which we know is "illuminated." We are streaming with the "decay path" all the while there is a sun behind us that shines.

    Now it is always an interesting thing for me to know that secret rooms can be illuminated, given the right piece of equipment to do the job. Somethings that will stop the process, and others, that go on to give indications of which these "massless particles" can travel.

    But no where is the penetration of the pyramidal model more apparent to me, is when it is used to explain the "rise of the colour theory" used on this site, to explain the nature of emotive sufferings, and it's ascensions, with which we can place the "colour of gravity" to it's rightful place. While one can discern the patterns in an ancient philosophical game of chance, what use to explain the underlying structure of abstraction, as we peer into the materiality of the object of this post? Do you know it's inherent geometrical nature, as an expression?

    Maybe, this is the Plato in me? Not a criminal "who hides" having perpetrated crimes against humanity, spouting a philosophy that some would pretend hides behind "the garb" of some "quantum cosmology?"

    Yes, no where is this measurable in nature at this time, other then to know that a philosophical position is being adopted. It may allow one to understand the brain's workings, alongside of the fluids that emotively run through our bodies. The "eventual" brain development toward it's evolutionary discourse, with the matter distinctions becoming apparent in the brain's structure, may be greatly enhanced in our futures?

    This is what is progressive to me about the work of Kip Thorne and Archibald Wheeler, as we look at the experimental processes of gravitational waves and the like, in LIGO. Is this proof of the gravitational waves? Is this proof of the Geon denoted by Wheeler to express, or the bulk, teaming with the gravitons?

    An event in the cosmos, allows us, while standing in the decay path of the expression, and as we turn with it, to know that a source can initiate, and allows us to see it's disintegration.

    WE are concerned with all the matter distinctions, while beyond this, is the expression of these schematically drawn rooms of energy, as we particularize them into neat boxes(things) for our entangled views, and loss of sight?

    To me, such a sun exists at our centres and such analogies, as I have drawn them here is to recognize that such a "heliocentric view" is not the idea behind our observations of the ego distinctions about self in the world, but a recognition of our connection to what pervades all of us, and connects us.

    Now this path streams onwards, no different then in the way we move into the materiality of the world we live in. While of course you see the bodies of our expression. You see the "emotive functionings" on our faces, primitive as it can be, as well as, the intellectual abstraction that is part of the inherent pattern of that expression into materiality. The "sun still shines" from that deeper place inside.

    Secrets of the PyramidsIn a boon for archaeology, particle physicists plan to probe ancient structures for tombs and other hidden chambers. The key to the technology is the muon, a cousin of the electron that rains harmlessly from the sky.

    I am Lost/Not Lost

    While the descent into the matters, one tends to loose sight of what is happening around them. Such a thing is the human part of us, as we think we are in the moment.

    While one may think they are in this "way station" it is ever the spot that we assign ourselves with or selections and happenings that we are connected too, in ways that are never understood, or looked for, as we progress these views about the reality we live in?

    How much farther is our eyesight granted into the materiality of things as we progress ever deeper into nature's structure, to think, this will bring us ever closer to that sun that shines inside?

    Lost souls were given directions in the manuals of the ancients to decipher this relationship with the world we live in, so that the understanding about perplexing paradigms that ensue the mind, may be set, "to live life" not to experience it's death. But to prepare that life beyond the limitations with which we assign our perception according to these material things.

    Tuesday, July 22, 2008

    Evolutionary Game Theory

    This of course was first introduced to me by the show called a Beautiful Mind. It is about the story of John Nash



    It is true such mathematics could seem cold and austere. Realizing the complexity of emotive and intellectual pursuances, on how such a gathering can be conducive to propelling society forward with the idealizations developed by looking within self.

    Something inherent, "as a pattern" within our nature?

    So self discovery and journaling become a useful tool, when all of life's events can be "different from day today."

    Emotive reactive mental changes, arising from some inherent understanding as a constituent of that group? Intellectual mathematical embracing to new societal futures? Knowledge. To become aware.I thought it better to remove from the comment lineup at Bee's.

    Backreaction: Openness in Science posting is linked here to show dynamical behaviour that has a basis with which to consider. The fundamental constituent of each individual by contribution can change the whole dynamics of society "by adding value" from the context of self, it's idealizations, which can become an operative function of that society as a whole.

    It was a "early recognition" for me as my pursuance to understand "mathematical relations" which can be drawn at the basis of society, our being, and it's commutative organizational faculties. These of course helped me to recognize that not only psychological models can be drawn, but that these dynamics could have been expanded upon by such diagrams, to illustrate, the patterns inherent in our natures and conduct toward other people.

    Now without understanding the evolution of the philosophy which I had developed along side of my everyday thinking, what use to mention emotive or abstraction nature of the mind if it cannot find it's relations to the physiological functions of the human body and brain?

    Game Theory

    Game theory is the study of the ways in which strategic interactions among rational players produce outcomes with respect to the preferences (or utilities) of those players, none of which might have been intended by any of them. The meaning of this statement will not be clear to the non-expert until each of the italicized words and phrases has been explained and featured in some examples. Doing this will be the main business of this article. First, however, we provide some historical and philosophical context in order to motivate the reader for all of this technical work ahead......

    6. Evolutionary Game Theory

    has recently felt justified in stating baldly that "game theory is a universal language for the unification of the behavioral sciences." This may seem an extraordinary thing to say, but it is entirely plausible. Binmore (1998, 2005a) has modeled social history as a series of convergences on increasingly efficient equilibria in commonly encountered transaction games, interrupted by episodes in which some people try to shift to new equilibria by moving off stable equilibrium paths, resulting in periodic catastrophes. (Stalin, for example, tried to shift his society to a set of equilibria in which people cared more about the future industrial, military and political power of their state than they cared about their own lives. He was not successful; however, his efforts certainly created a situation in which, for a few decades, many Soviet people attached far less importance to other people's lives than usual.) Furthermore, applications of game theory to behavioral topics extend well beyond the political arena.


    While I have always pushed to indicate the very idea that "mathematical organization" exists at the very fundamental levels of our being, this would not mean much to person in society who goes about their lives living the mundane. Without considerations of a larger context at play in society while ever recognizing the diversity that such probabilities such actions can take when groups of individuals gather together in this communicative relationship of chance and change.


    This Nobel Prize award was of interest to me.

    The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007


    "for having laid the foundations of mechanism design theory"

    Leonid Hurwicz

    Eric S.Maskin


    Roger B. Myerson

    I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

    A Theory is Born

    This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

    Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.


    It is important to keep present the work in science that is ongoing so one sees the consistency with which this process has been unfolding and is part of what awareness does not take in with our everyday life.

    How a simple mathematic formula is starting to explain the bizarre prevalence of altruism in society Why do humans cooperate in things as diverse as environment conservation or the creation of fairer societies, even when they don’t receive anything in exchange or, worst, they might even be penalized?


    See:

    Inside the Mathematical Universe

    Friday, April 04, 2008

    Kurt Godel

    He turned the lens of mathematics on itself and hit upon his famous "incompleteness theorem" — driving a stake through the heart of formalism By DOUGLAS HOFSTADTER


    Source:ALFRED EISENSTAEDT/TIME LIFE PICTURES-Kurt Godel at the Institute of Advanced Study See: The Time 100-Scientists and Thinkers

    Kurt Gödel (IPA: [kuɹtˈgøːdl]) (April 28, 1906 Brno (Brünn), Austria-Hungary (now Czech Republic) – January 14, 1978 Princeton, New Jersey) was an Austrian American mathematician and philosopher.

    The Time 100-Scientists and Thinkers

    The upshot of all this is that the cherished goal of formalization is revealed as chimerical. All formal systems — at least ones that are powerful enough to be of interest — turn out to be incomplete because they are able to express statements that say of themselves that they are unprovable. And that, in a nutshell, is what is meant when it is said that Gödel in 1931 demonstrated the "incompleteness of mathematics." It's not really math itself that is incomplete, but any formal system that attempts to capture all the truths of mathematics in its finite set of axioms and rules. To you that may not come as a shock, but to mathematicians in the 1930s, it upended their entire world view, and math has never been the same since.

    Gödel's 1931 article did something else: it invented the theory of recursive functions, which today is the basis of a powerful theory of computing. Indeed, at the heart of Gödel's article lies what can be seen as an elaborate computer program for producing M.P. numbers, and this "program" is written in a formalism that strongly resembles the programming language Lisp, which wasn't invented until nearly 30 years later.


    Princeton

    In the late 1940s, Gödel demonstrated the existence of paradoxical solutions to Albert Einstein's field equations in general relativity. These "rotating universes" would allow time travel and caused Einstein to have doubts about his own theory. His solutions are known as the Gödel metric.


    Closed timelike curves

    Because of the homogeneity of the spacetime and the mutual twisting of our family of timelike geodesics, it is more or less inevitable that the Gödel spacetime should have closed timelike curves (CTC's). Indeed, there are CTCs through every event in the Gödel spacetime. This causal anomaly seems to have been secretly regarded as the whole point of the model by Gödel himself, who allegedly spent the last two decades of his life searching for a proof that death could be cheated, and apparently felt that this solution provided the desired proof. This strange conviction came to light decades after his death, when his personal papers were examined by a startled astronomer.[citation needed].

    A more rational interpretation of Gödel's motives is that he was striving to (and arguably succeeded in) proving that Einstein's equations of spacetime are not consistent with what we intuitively understand time to be (i.e. that it passes and the past no longer exists), much as he, conversely, succeeded with his Incompleteness Theorems in showing that intuitive mathematical concepts could not be completely described by formal mathematical systems of proof. See the book A World Without Time (ISBN 0465092942).


    General Relativity

    CTCs have an unnerving habit of appearing in locally unobjectionable exact solutions to the Einstein field equation of general relativity, including some of the most important solutions. These include:

    * the Kerr vacuum (which models a rotating uncharged black hole)
    * the van Stockum dust (which models a cylindrically symmetric configuration of dust),
    * the Gödel lambdadust (which models a dust with a carefully chosen cosmological constant term).
    * J. Richard Gott has proposed a mechanism for creating CTCs using cosmic strings.

    Some of these examples are, like the Tipler cylinder, rather artificial, but the exterior part of the Kerr solution is thought to be in some sense generic, so it is rather unnerving to learn that its interior contains CTCs. Most physicists feel that CTCs in such solutions are artifacts.


    Timelike topological feature

    No closed timelike curve (CTC) on a Lorentzian manifold can be continuously deformed as a CTC to a point, because Lorentzian manifolds are locally causally well-behaved. Every CTC must pass through some topological feature which prevents it from being deformed to a point. A test particle free falling along a closed timelike geodesic transits this feature; in the test particle's frame, the feature propagates toward the test particle. This features resembles a glider in Conway's Game of Life, but in a continuous spatial automaton rather than a (discrete) cellular automaton.


    Continuous spatial automaton

    It is an important open question whether pseudo-photons can be created in an Einstein vacuum space-time, in the same way that a glider gun in Conway's Game of Life fires off a series of gliders. If so, it is argued that pseudo-photons can be created and destroyed only in multiples of two, as a result of energy-momentum conservation.

    Friday, October 19, 2007

    Inside the Mathematical Universe

    This Nobel Prize award was of interest to me.

    The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007


    "for having laid the foundations of mechanism design theory"

    Leonid Hurwicz

    Eric S.Maskin


    Roger B. Myerson

    I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

    A Theory is Born

    This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

    Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.


    It was then that I realized that a "mathematical mind," although one which had it's fair share of problems, as in John Nash's case, was one deeply entrenched in finding "the pattern." The pattern is a interesting conclusion "about reality." It is about the math that lies at it's basis.

    It was at this point being involved in Province wide negotiation, that I thought of trying to implement some of "this strategy" albeit unbeknownst to others, by bringing in factors that would change and alter the current negotiation practises.

    I was not sure I understood the full implication of game theory or it's structure, but it was important enough to see if it's applicability could influence the current negotiation process. This was trying to implement the mathematics lying at the basis of reality and bringing new directions to a current process currently at the hands of two opposing bodies.

    It is not important how I went about this, just that such applicability is brought back into the social sphere for demonstrative purposes.

    See: The Information Triangle

    Backreaction: The Information Triangle

    Sunday, October 14, 2007

    The Artist In Us All

    ""Deep play means no analysis, no explanation, no promises, no goals, no worries. You are completely open to the drama of life that may unfold.""-Dianne Ackerman


    See more on Deep Play.

    This post entry under the heading of the "Artist in us All," is a culmination of information that I had transmitted on Bee's discussion board, under the heading of Art and Communication.

    The whole jest is a preclude to a much more detailed analysis of Art and Science and the following post to this one, prepares the readers for a understanding that I myself strongly advocate.

    But before I move to far ahead of myself, let me take you to the post entries that will prepare one for future considerations.

    The Format

    A final aspect of beauty that was often cited by readers might be called "deep play". This is the sense that we are actively engaged with something outside ourselves that is responding to us - rather than watching a game of our own construction or watching nature from a detached distance.


    The timing of "preparing the format" asks that any given time be considered as the source from which we will move human experiences further along it's path to growth. We can "remove names" and this exercise will be of value to who ever inserts their name or responds accordingly to the questions posted in that same name.

    This is the valuation of interplay that is part of our own gathering system. This post then is the template for what is happening within your own self. A "perceived constant" is being examined in relation to your contact with reality? What ever that is for you at this time?

    Bee,

    "It is sometimes the scientist who takes "to the edge." Then it is the artist, who takes us much further." Plato( this is my quote Bee :)

    Susskind did exactly this, by envisioning a rubber band? Some may laugh, yet, it is a mathematical insight.

    Penroses Influence on Escher

    During the later half of the 1950’s, Maurits Cornelius Escher received a letter from Lionel and Roger Penrose. This letter consisted of a report by the father and son team that focused on impossible figures. By this time, Escher had begun exploring impossible worlds. He had recently produced the lithograph Belvedere based on the “rib-cube,” an impossible cuboid named by Escher (Teuber 161). However, the letter by the Penroses, which would later appear in the British Journal of Psychology, enlightened Escher to two new impossible objects; the Penrose triangle and the Penrose stairs. With these figures, Escher went on to create further impossible worlds that break the laws of three-dimensional space, mystify one’s mind, and give a window to the artist heart.


    But on the other hand you speak about the longevity of the musician, in place of what artist can do, but I would remind you of Dali's picture "on time" as a masterpiece?

    Not least to mention his geometrical views on the hypercube and the crucification?

    Number theory is the type of math that describes the swirl in the head of a sunflower and the curve of a chambered nautilus. Bhargava says it's also hidden in the rhythms of classical Indian music, which is both mathematical and improvisational. He sees close links between his two loves -- both create beauty and elegance by weaving together seemingly unconnected ideas.


    There is a "inherent beauty in the mathematics" when we think about this music?

    Not to mention the relationship of the "Monte Carlo methods" in relation to the cubists.

    Bee, you were to soft in your opinion of artists when I am showing you otherwise. :)

    Here is another quote you might recognize in relation to a form of mathematics.

    An equation means nothing to me unless it expresses a thought of God.Srinivasa Ramanujan

    It is how Srinivasa Ramanujan received his "inspiration" and the place from which this mathematics emerged, that few people realize is of significance.

    From "a chaotic mind" it resolved itself "to the subconscious" that we realize the pattern that is inherent underneath.

    12:50 PM, October 10, 2007


    Part of the understanding here is our connection to the "universality of the subconscious mind" and it's reservoir of impressions received, as we try to express our perspective of the world. "How deep" is your subconscious mind, that you would not understand the complexity of all "self evident information" makes you who you are? That this interplay that takes place with you and your environment, is an exchange that is taking place not only on a "deductive and inductive Archean constant" that all of us would then be writing the "postulate of experience" here?

    Bee,

    It is not about God, but how we dress up the mathematics in our everyday lives. Then, we have to decipher the context of the mathematics other then the "resolved experience-science" we have in moving mathematics forward?

    To Srinivasa Ramanujan it was about his dream and how he received his messages, yet, how absurd that such a place as the subconscious we could receive such inspiration?

    It is not about "heliocentrism" that we are, "the centre of the universe," but rather, that we are connected to the universe in such a way?

    Liminocentric structures?

    Finally, we also hope that this series furthers the discussion regarding the nature and function of 'the mandala'. In the spiritual traditions from which Jung borrowed the term, it is not the SYMMETRY of mandalas that is all-important, as Jung later led us to believe. It is their capacity to reveal the asymmetry that resides at the very heart of symmetry. By offering a new view about how consciousness itself is structured - in a fundamentally paradoxical fashion - and how these structurings are reflected in principles according to which the mandala is organized, we are able in this series to show how personality itself may be thought of as having an essentially 'liminocentric' design.


    The "source of symmetry" is our perfection with the universal inherent in each of us. Our delving into this large pool is in part the effort of our recordings, that what is gained in experience is mapped on the brain's structure, and beyond that. This interplay has to have consequence? Not just in the development of the brain's structure, but far beyond what we see of the physical body.

    1:40 PM, October 10, 2007


    Bee:I tend to believe we are taking ourselves too seriously. If there is a God how could we be sure we'd be able to understand his (her?) thoughts? Genderless for sure eh?:)

    From a psychological perspective and I am no expert for sure, but our present state of consciousness has to be supported in one way or another. Animus and Anima, depending on that gender?

    An "all wise mother figure" who appears in your dream( your higher self speaking to you), or for those men, who recognize that the higher self is talking to them in a way that they have their "wise white haired person offering insight."

    But before I loose you here, I wanted to show you that on first appearance Jean Shinoda Bolen is telling a story. This is the artist aspect of herself, showing the depth of our natures. She is showing it in a way that is helping people identify aspects of themself. Showing underlying causes for such "fantasy development."

    Richards Wagners's Ring of Nibelung Jean Shinoda Bolen, M.D. Ring of Power was interesting.

    Strange that we could have seen A Jungian Understanding of the Wagner's Ring cycle, portrayed in todays world and how could have this been accomplished. But by re-introducing a fictional story and embuing it with the archetypal structures of what Jean Shinoda Bolen called, "The Abandon Child, The Authoritarian Father, and the Disempowered Feminine."

    Under the search of "Jean Shinoda Bolen on my site." One reason the "nav bar" was of good use. If you have a search feature otherwise?

    It's never clear from all appearances, yet there is a deeper understanding of what is culminating in a person's experiential life.

    I follow your thoughts on Bohm for I read him a long time ago too, and somehow it seems fitting that art and communication, might have incorporated "language as a developmental phase" to seeing reality, in new ways?

    Sort of like being initiated into string theory, to help get past some of the blockages that are stopping science from developing further?

    7:56 AM, October 11, 2007


    These blockages manifest within the self, and become impediments to our experience and progression to further learning. This is not to say learning stops. It is the "greatest effort" that what has become apparent in the state of self evidential experience, is the potential to great transport human experience beyond the self's own limitations. Provides for, the "intuitive leaps" necessary once the basis of this experience is resolved. How deep this blockages goes, that the subconscious mind will allow images to transport the self to a future place for consideration.

    Bee:It might not be an universally applicable source of inspiration?

    To Hardy I don't think that mattered one bit. It is just part of the process to understanding how we humans like to fabricate our realities. Yet, there is a universal connection that we have that is a very consistent. One in relation to the artist in us all.

    Namagiri, the consort of the lion god Narasimha. Ramanujan believed that he existed to serve as Namagiri´s champion - Hindu Goddess of creativity. In real life Ramanujan told people that Namagiri visited him in his dreams and wrote equations on his tongue.

    We are the best predictors of ourselves and our experiential conditions that we put forward. A model perhaps in developmental insight as to what we have to do in science?

    So in the psychology......

    If any such resolve is not forthcoming in our "supposed awake reality," then there is a culminating effect that someone(archetypal) is speaking to us to help us resolve these disputes. "Our universality" is there in us all. I see no race religion, or gender.

    So like Jean above we write our own story, and show the affect our experiential life has on the new conditions if not resolved.

    So I apply these things to our current search for understanding the math creation (calculus for Newton)and the derivatives needed to push insight further into "new realms of experience."

    Would you denigrate Calculus as a language to helping you discern the nature of reality? Newton knew he had to do something. Einstein realize it when Grossman was developing a new language, as was Reinmann preparing us from his predecessors, on the issue of "non euclidean geometries?" Gauss was very delighted with his student

    8:18 AM, October 11, 2007


    Understanding that human experience is "cradling the times for breakthroughs to further understanding" is the incubation period necessary for preparing these intuitive leaps and future predictability.

    Here 50% or 100% provides for whether the human side of us really understands and knows what is necessary for us to progress. How would the probability of all human experiences to know to draw for one own postulate, "the self evident" and then understand that the leap to growth in experiences requires this and this?

    While such is th evastness of the human experience it is not without our understanding that each of us has repercussions of actions to every decision we make. I cannot tell which, only that this probability can be played out time and time again and it will result in the growth of each of us at varying times. There is a constancy that is being talked about here that can be debated, but as far as I can tell this is the postulate that has been written.

    To them, I said,
    the truth would be literally nothing
    but the shadows of the images.



    -Plato, The Republic (Book VII)

    I used this quote in "your other thread" for a reason. Images? Think about this for a minute.

    If one can "translate" and transfer the image mathematically for each other, then what has happened? A level of communication not understood before?


    Arthur Miller

    Miller has since moved away from conventional history of science, having become interested in visual imagery through reading the German-language papers of Einstein, Heisenberg and Schrödinger - "people who were concerned with visualization and visualizability". Philosophy was an integral part of the German school system in the early 1900s, Miller explains, and German school pupils were thoroughly trained in the philosophy of Immanuel Kant.

    When I referred to Susskind I did so for a reason as well. This is the culmination of what mathematically is derived. Thus, the image is a culmination, yet, it is only a "shadow of the truth."

    I used Magritte, When is a Pipe a Pipe painting, to illustrate this.

    Hawking shows this in his book as well.

    You have to remember Plato's analogy was even used by Gerardus t'Hooft. See here and Heisenberg so you are in good company.

    P.A.M. Dirac was a gifted mathematical inventor who saw how quantum mechanics rises from classical mechanics, yet transcends it. Dirac did not know of the Bohr atom when he arrived at Cambridge in 1923; yet he quickly began contributing to the mathematical structure demanded by quantum phenomena, discovering the connection between the Poisson bracket and the commutator of Heisenberg”s matrix representation of observables. Then, with careful attention to its classical antecedent, Dirac found the equation governing the evolution of the matrix elements which had eluded Heisenberg in the operator ihdA/dt = [A,H]. He then went on to discover spinors in describing the relativistic electron and antimatter implied by the quantum in relativistic space-time. Dirac conceived the many-time formulation of relativistic quantum mechanics and laid the foundations of the Feynman path integral thereby opening the way to quantum electrodynamics. Newton synthesized the foundations of classical mechanics. In fitting kinship, Dirac, who did the equivalent for quantum mechanics, filled the chair at Cambridge held by Newton.

    Some people are better suited to visualization then others, and this comes out in some mathematicians and in artists as I had shown you of Escher and Dali. I could never judge Dali for his character an his life, but I can say how important he tried to push the envelope. Maybe for all his indulges, he thought if he could think of the cross and his geometrically tendency he might have found some relation?


    Of course, to Plato this story was just meant to symbolize mankind's struggle to reach enlightenment and understanding through reasoning and open-mindedness. We are all initially prisoners and the tangible world is our cave. Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.

    What is equally interesting is the literal interpretation of Plato's tale: The idea that reality could be represented completely as `shadows' on the walls


    12:19 PM, October 12, 2007