Dark Matter

(Click on Image)


Friedman Equation What is _pdensity.

What are the three models of geometry? k=-1, K=0, k+1

Negative curvature

Omega=the actual density to the critical density
If we triangulate Omega, the universe in which we are in, Omega_m(mass)+ Omega(a vacuum), what position geometrically, would our universe hold from the coordinates given?  

See Also:

Non Euclidean Geometry and the Universe

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I am not sure if it is proper to take such expressions of dark energy and dark matter as they are perceived in the universe and apply them to a "dynamical movement of a kind,"  as an expression of that Universe?

Part of that "Toposense" you might say?

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IN their figure 2. Hyperbolic space, and their comparative relation to the M.C.Escher's Circle Limit woodcut, Klebanov and Maldacena write, " but we have replaced Escher's interlocking fish with cows to remind readers of the physics joke about the spherical cow as an idealization of a real one. In anti-de Sitter/conformal theory correspondence, theorists have really found a hyperbolic cow."

Click on image for larger version. See:Solving quantum field theories via curved spacetimes by Igor R. Klebanov and Juan M. Maldacena

See:

The Pringles Potato Chip

Gravitons and Topoi if an illusion, then Where's the Truth?

“Useful as it is under everyday circumstances to say that the world exists “out there” independent of us, that view can no longer be upheld. There is a strange sense in which this is a “participating universe” Wheeler (1983).

Taken from-Valuations in the language of Topos theory

It is always that the representative language current, as it's written, requires some deeper look behind the obvious, a look behind the illusion, to have it contend with the objectification of,  how one can see the truth.

“It’s a bit like a romantic relationship,” says Christopher Isham, describing his collaboration with Andreas Döring. Certainly the two physicists can claim to share their own unique understanding of the world, as many in love do. Together they are proposing a radical new way to view reality—one that takes you into a new "mathematical universe" where notions of "truth" and "falsehood" no longer apply, but where the paradoxes of quantum mechanics suddenly make sense. True Lies: Why Mathematics is an Illusion

Such a graduation which leads one to understand the structure of a 5d world only makes more sense when you combine what you see exists behind the geometric revelations of the real world, to see it apply to some underlying feature of the way the world works in those valleys. How "time variable measures" can be used to describe the landscape of the earth/moonscape's elements in a way not considered before.



Location of the reflector landing sites

Hubble Reveals Potential Titanium Oxide Deposits at Aristarchus and Schroter's Valley Rille

Further to this understanding of pathways through space,  require a firm understanding of how one can perceive the fabric of spacetime and the impression the earth leaves in it(just for demonstrative purposes to understand how indentation can be used in the understanding of the fabric).  To have satellites travel by the planets, to be propelled onto different routes of travel, or, to be held in stationary orbits around. L1 to L5 positions of the three body problem relation help again to orientate how we see the nature of space-time as it structurally allows us to see in these abstract ways . Its as if you look at the space provide and understand that variation in gravity can be understood in a "three dimensional space" given by the universe.



Georgi Dvali

"This is the crucial difference between the dark energy and modified gravity hypothesis, since, by the former, no observable deviation is predicted at short distances," Dvali says. "Virtual gravitons exploit every possible route between the objects, and the leakage opens up a huge number of multidimensional detours, which bring about a change in the law of gravity."

Dvali adds that the impact of modified gravity is able to be tested by experiments other than the large distance cosmological observations. One example is the Lunar Laser Ranging experiment that monitors the lunar orbit with an extraordinary precision by shooting the lasers to the moon and detecting the reflected beam. The beam is reflected by retro-reflecting mirrors originally placed on the lunar surface by the astronauts of the Apollo 11 mission.

Coffee and Donut?

A continuous deformation (homeomorphism) of a coffee cup into a doughnut (torus) and back.

Similarly, the hairy ball theorem of algebraic topology says that "one cannot comb the hair flat on a hairy ball without creating a cowlick."

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This fact is immediately convincing to most people, even though they might not recognize the more formal statement of the theorem, that there is no nonvanishing continuous tangent vectorfield on the sphere. As with the Bridges of Königsberg, the result does not depend on the exact shape of the sphere; it applies to pear shapes and in fact any kind of smooth blob, as long as it has no holes.

In order to deal with these problems that do not rely on the exact shape of the objects, one must be clear about just what properties these problems do rely on. From this need arises the notion of homeomorphism. The impossibility of crossing each bridge just once applies to any arrangement of bridges homeomorphic to those in Königsberg, and the hairy ball theorem applies to any space homeomorphic to a sphere.

Intuitively two spaces are homeomorphic if one can be deformed into the other without cutting or gluing. A traditional joke is that a topologist can't distinguish a coffee mug from a doughnut, since a sufficiently pliable doughnut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while shrinking the hole into a handle. A precise definition of homeomorphic, involving a continuous function with a continuous inverse, is necessarily more technical.

Homeomorphism can be considered the most basic topological equivalence. Another is homotopy equivalence. This is harder to describe without getting technical, but the essential notion is that two objects are homotopy equivalent if they both result from "squishing" some larger object.

Equivalence classes of the English alphabet in uppercase sans-serif font (Myriad); left - homeomorphism, right - homotopy equivalence

 

An introductory exercise is to classify the uppercase letters of the English alphabet according to homeomorphism and homotopy equivalence. The result depends partially on the font used. The figures use a sans-serif font named Myriad.

Notice that homotopy equivalence is a rougher relationship than homeomorphism; a homotopy equivalence class can contain several of the homeomorphism classes. The simple case of homotopy equivalence described above can be used here to show two letters are homotopy equivalent, e.g. O fits inside P and the tail of the P can be squished to the "hole" part.

Thus, the homeomorphism classes are: one hole two tails, two holes no tail, no holes, one hole no tail, no holes three tails, a bar with four tails (the "bar" on the K
is almost too short to see), one hole one tail, and no holes four tails.

The homotopy classes are larger, because the tails can be squished down to a point. The homotopy classes are: one hole, two holes, and no holes.

To be sure we have classified the letters correctly, we not only need to show that two letters in the same class are equivalent, but that two letters in different classes are not equivalent. In the case of homeomorphism, this can be done by suitably selecting points and showing their removal disconnects the letters differently. For example, X and Y are not homeomorphic because removing the center point of the X leaves four pieces; whatever point in Y corresponds to this point, its removal can leave at most three pieces. The case of homotopy equivalence is harder and requires a more elaborate argument showing an algebraic invariant, such as the fundamental group, is different on the supposedly differing classes.

Letter topology has some practical relevance in stencil typography. The font Braggadocio, for instance, has stencils that are made of one connected piece of material.

"Bag Model," for the Economy

“In this edition, as a fifth appendix, a presentation of my views on the problem of space in general and the gradual modifications of our ideas on space resulting from the influence of the relativistic view-point. I wished to show that space-time is not necessarily something to which one can ascribe a separate existence, independently of the actual objects of physical reality. Physical objects are not in space, but these objects are spatially extended. In this way the concept of “empty space” loses its meaning”. A. Einstein (June 9th, 1952)

Photo by Steve Hsu-

The first photo is the morning panel discussion. From left to right, Eric Weinstein, Nouriel Roubini, Richard Freeman and Nassim Taleb.

The Economic Crisis and its Implications for The Science of Economics.

May 1 - 4, 2009
Perimeter Institute

Concerns over the current financial situation are giving rise to a need to evaluate the very mathematics that underpins economics as a predictive and descriptive science. A growing desire to examine economics through the lens of diverse scientific methodologies - including physics and complex systems - is making way to a meeting of leading economists and theorists of finance together with physicists, mathematicians, biologists and computer scientists in an effort to evaluate current theories of markets and identify key issues that can motivate new directions for research. Perimeter Institute was suggested to be the gathering point and conference organizers plan to foster a very careful, dispassionate discussion, in an atmosphere governed by the modesty and open mindedness that characterizes the scientific community.

The conference will begin on May 1, 2009, with a day of talks by leading experts to an invited audience on the status of economic and financial theory in light of the current situation. Three days of private, focused discussions and workshops will ensue, aimed at addressing complex questions and defining future research agendas for the world that can help address and resolve them.

See: Reflections from PI’s economics conference, May 1-4 2009

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The economy is in a ideological struggle to be free:) The more you try to pull it apart the stronger it resists.:)But in a collision, what happens. The rest, you know about?:)

Jets Provide Evidence for Quark Confinement Models

Deep inelastic scattering experiments provided the evidence that the proton and neutron are made up of three more fundamental particles called quarks . One type of experiment in the proton-antiproton colliders produces jets of mesons which correlate with the models of quark confinement. As visualized in the bag model for quark confinement, an individual quark cannot be pulled free because the energy required to do it is much greater than the pair production energy of a quark-antiquark pair. If in a high energy collision, something scatters directly off one of the constituent quarks, it will give it a high energy. With an energy many times the pair production energy, it will create a jet of quark-antiquark pairs (mesons).

See:Evidence for Quark Theory

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At times the economy can flow quite easily, while other times, it resists. It is the elastic nature that defines the symbiotic relation of a cultural thinking about what the economy can actually permit, and what of itself, it shall not.

This is a "toposense" synesthesically imbued as relevant too, an expression of what can surround the "psychology of society?" What proof do I have that such thinking geometrically induced shall not find itself "in movement" as it is thought about, as well? Dynamically this was lead too. How one can move in straight lines and such, was moved to a new mode of thinking that excels toward a movement in thought. It is done, as if theoretically moved toward a QGP recognition of the dynamical recognition, as if, the theory of strings.

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See Also:

Coin, as a Constituent of Symmetry

The Other Side of the Coin

The Toposense of Spacetime

Topo-sense?

Emerging from the Chrysalis

The dream is a little hidden door in the innermost and most secret recesses of the soul, opening into that cosmic night which was psyche long before there was any ego consciousness, and which will remain psyche no matter how far our ego consciousness extends.... All consciousness separates; but in dreams we put on the likeness of that more universal, truer, more eternal man dwelling in the darkness of primordial night. There he is still the whole, and the whole is in him, indistinguishable from nature and bare of all egohood. It is from these all-uniting depths that the dream arises, be it never so childish, grotesque, and immoral. Carl Jung

The Basic Writings of C.G. Jung, by Violet S.de Laszlo


You form your perceptions of things, and from the data accumulated, you make a decision about what you believe in. How much more dynamic is this "quality of thinking" once you recognize the place from which all information can be drawn, and then, is specific to what you had enquired and lived during the day?

Photograph of a Monarch Butterfly. Taken by Kenneth Dwain Harrelson on May 29th, 2007.

In Culture:The Ancient Greek word for "butterfly" is ψυχή (psȳchē), which primarily means "soul", "mind"

So this is the basic assumption about what Pure land represents while central to any design of an liminocentric structure, is the idea that you are coming ever closer to the very essence and quality of all of one's thinking. It's truth. You are then connected to the universe in this way, and such probable outcomes become the exact exchange in effect of those same decision making processes.

The Basic Writings of C.G. Jung, by Violet S.de Laszlo

In rising above dualisms while I had demonstrated a physical action and sought to reveal it's cause and effect, it is the understanding too, that such thinking can be manifested in the mental structure to hide the extensions leading to these polarizations. Knowing full well now, that what ever your stance embroiled in the dance, it is evidenced that you yourself can contain the seed of the other, while discussing the fate.

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The Lagrangian



I also showed how easy for the mind to manoeuvrer through the trappings of gravity as it can propel itself through space. The idea of a photon description of the very colourful world of gravity in this way is aware of the locations of these "tunnels" as one can move with utmost speed. See that any deviation, could send the mind into the very locations that one has sunk further then, to then use that momentum to skip onto a further destination, once learning to be free.

Such thinking then is to become embroiled within the context of "any orbit" to realize this has become the gravity with which all thought shall become detained as it See's the evolution of it's future, according to which planet it rests.

So too it is of any mind that returns to that dualism that the journey will be cut short. By it's very nature the mind and it's thought contain the elements of gravity as if seeking to move as fast as one can, with out the restriction of resistance that this thought process holds. It endeavours that each thinking mind is capable to free themself of those thought forming locations. Those locations, that having skipped previous is the enlightenment of the dualism that contains the revolution of thinking.

Inside Out

3.1 As Cytowic notes, Plato and Socrates viewed emotion and reason as in a kind of struggle, one in which it was vitally important for reason to win out. Aristotle took a more moderate view, that both emotion and reason are integral parts of a complex human soul--a theory proposed by Aristotle in explicit opposition to Platonism (De Anima 414a 19ff). Cytowic appears to endorse the Platonic line, with the notable difference that he would apparently rather have emotion win out.

I am trying to "create a image" that will use the one above. It is important that the select quoted comment below is understood. This can't be done without some reference.

So while the exercise may be going on "inside" things are happening on the outside. Scientists have never been completely honest with themselves, while some may concern themselves with whose name said what?

I use Plato as a namesake obviously, because of what I saw of some of our influential minds speaking, all the while making inferences to Plato. When ever you read something that resonates with you, it is of value because it correlates to something that you already know. This is what I tried to get across in the previous post, about what is "self evident." Little do some people recognize that while I may have inferred the point of some philosophical foundations, it is not without recognizing that the "qualitative phrases" have to be reduced as well to a logic. To reason.

How do you do that? Well I'll tell you what I found and then you can think whether I understood reason in it's proper format. Whether I understood the "shadows of Plato" to mean something other then what could have been interpreted as being wrong. What is that analogy of the Cave really mean?

Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.

Yes I did not enter the halls of higher learning in the traditional ways. You can converse for many years, does not mean you become devoid of the lessons that spoken amongst the commentors. How is it you can think that while listening to scientists you cannot uncover the the processes they use? If I had given thirty years to study, what exactly had I studied? I am a doctor of nothing.:)

This is a torus (like a doughnut) on which several circles are located. Unlike on a Euclidean plane, on this surface it is impossible to determine which circle is inside of which, since if you go from the black circle to the blue, to the red, and to the grey, you can continuously come back to the initial black, and likewise if you go from the black to the grey, to the red, and to the blue, you can also come back to the black.

My quote at Backreaction on this and that, reveals not only part of the understanding gained through this "infinite regress," but also the understanding we have with the world around us. Some would be better served to see the image of the Klein bottle, but I wanted to show what is going on in a "abstract way" to what is happening inside of us, and at the same time, what is happening outside.



I had used the brain and head as a place of our conscious awareness within context of our environment, our bodies. The topological explanations of the numbers above, and used them in the next paragraph. There will be confusion with the colour lines, please disregard that.

While I talked of the emotive and mental realities. I included the spiritual development in the end. The way this interaction takes place, is sometimes just as the mental function(yellow). Other times, it is the emotive realization of the experience. It is coloured by our emotion(red).

While we interact with our environment, there is this turning inside out, continuously. Sometimes we may say that "1" is the emotive realization, while the number 2 is seen as a mental extension of the situation. While the areas overlap each other, an outward progression may mean that the spiritual progress is numbered 4, while the interaction of the emotive, mental and spiritual progression may be number 3. Ultimately the spiritual progression is 4 (Violet). All these colours can mix and are significant in themself. They reveal something about our very constitution.

While some may wonder how could any conceptualization ever integrate the "Synesthesia views" of the world when it sees itself presented with such a comparison? The journey of course leads to the "Colour of Gravity." Discard your body, and one will wonder about the "clear light." What it means, in the "perceptive state of existence." If one is prepared, then one shall not have "to much time on their hands" getting lost in the fog.

Plato and Aristotle, Up and Down by Kelley L. Ross, Ph.D.

Rafael has Plato pointing up and Aristotle gesturing down to indicate the difference in their metaphysics. For Plato, true existence is in the World of Forms, in relation to which this world (of Becoming) is a kind of shadow or image of the higher reality. Aristotle, on the other hand, regards individual objects in this world as "primary substance" and dismisses Plato's Forms -- except for God as a pure actuality, without matter.

However, when it comes to ethics and politics, the gestures should be reversed. Plato, like Socrates, believed that to do the good without error, one must know what the good is. Thus, we get the dramatic moment in the Republic where Plato says that philosophers, who have escaped from the Cave and come to understand the higher reality, must be forced to return to this world and rule, so that their wisdom can benefit the state. Aristotle, on the other hand, says that the "good" is simply the goal of various particular activities, without one meaning in Plato's sense. The particular activities of most human affairs involve phronésis, "practical wisdom." This is not sophía, true wisdom, for Aristotle, which involves the theoretical knowledge of the highest things, i.e. the gods, the heavens, and God.

Thus, for philosophy, Aristotle should point up and would represent a contemplative attitude that was certainly more congenial to religious practices in the Middle Ages. By the same token, Aristotle's contribution to what we now think of as science was hampered by his lack of interest in mathematics. Although Aristotle in general had a more empirical and experimental attitude than Plato, modern science did not come into its own until Plato's Pythagorean confidence in the mathematical nature of the world returned with Kepler, Galileo, and Newton. For instance, Aristotle, relying on a theory of opposites that is now only of historical interest, rejected Plato's attempt to match the Platonic Solids with the elements -- while Plato's expectations are realized in mineralogy and crystallography, where the Platonic Solids occur naturally.

Therefore, caution is in order when comparing the meaning of the metaphysics of Plato and Aristotle with its significance for their attitudes towards ethics, politics, and science. Indeed, if the opposite of wisdom is, not ignorance, but folly, then Socrates and Plato certainly started off with the better insight.

It is good that you go to the top of the page of the linked quotes of Kelley L. Ross. You must know that I developed this site without really understanding the extent Mr. Ross had taken this issue. There is much that is familiar, and with him, an opposing view too.

See:

Induction and Deduction
Intuitively Balanced: Induction and Deduction

Housebuilding

It all start off as "a dream" or "an idea." Where do these come from? Dialogos of Eide

This is the house similar to what we will be constructing, with some modifications of course.

Most know of my time helping my son last year constructing his home. The journey of pictures that I have here within this bloggery. It has also some "dimensional aspect" in it's development, so I thought this might help those who are working Euclidean coordinates, may help to seal this process in some way, by being introduced to house construction.

This is the home that my wife and I had built in 1998. It was built on ten acres of land with a wide sweeping view of the mountains in the background. Although not seen here, you may have seen some of my rainbow pictures that I had put up over the years to help with the scenery we had.

Well the time has come for my wife and I to be entering into the venture ourselves. You will notice that the model we choose above is one floor. We thought this suitable for the coming years as when we move into retirement.

Here is a picture of my daughter-in-law and son's house in the winter of this last year. He still has some work to do, but as per our agreement, I help him, he is helping me.

I think I am getting the better of the deal, as he has taken the time to write me a 17 page step procedure with which I must follow. I thought this will become part of the journey for my wife and myself, so that everyone may see the process unfolding and maybe learn something about home construction. The plans of course change from country to country, while this plan is unfolding in Canada.

We purchased a 2 acre parcel of land with which to build the new home up top. I went into the bush with the camera and with about 2 feet of snow. It was not to easy to get around, so as time progresses,and as I put in the roadway and cleared site, you will get a better idea of what it looks like.



We had to contend with where we will live. We wanted the freedom and space to be close to where we will be building, so we bought a 19' foot travel trailer and will be putting it on the acreage while we build our new home. We thought of "renting" and our son of course offered for a time to let us live with him. We thought all around with the new baby Maley, we would leave them have their space as well.

Laying the Foundation

Articles on Euclid

See No Royal Road to Geometry?

I would like people to take note of the image supplied on the website of Euclides.Org, as it is one that I have used showing Plato and Aristotle. The larger picture of course is one done by Raphael and is painted on the wall in the "Signatores room in the Vatican."

The Room of the Segnatura contains Raphael's most famous frescoes. Besides being the first work executed by the great artist in the Vatican they mark the beginning of the high Renaissance. The room takes its name from the highest court of the Holy See, the "Segnatura Gratiae et Iustitiae", which was presided over by the pontiff and used to meet in this room around the middle of the 16th century. Originally the room was used by Julius II (pontiff from 1503 to 1513) as a library and private office. The iconographic programme of the frescoes, which were painted between 1508 and 1511, is related to this function. See Raphael Rooms

While one may of talked abut the past, or use a name like Plato of the past does not mean that what is being supplied from that position is not dealing with information for the 21st century. I would like you to think that while speaking about models that what the house is doing in "a psychological sense" is giving you a method by which all that you do in your life will materialize in consciousness and digs deep into the unconscious.

How often had you seen yourself in dream time, doing something or other, in the living room, kitchen, or anything that deals with the current state of mind, that you of course will see in this house? They are the many rooms of the mind.

All those who have written histories bring to this point their account of the development of this science. Not long after these men came Euclid, who brought together the Elements, systematizing many of the theorems of Eudoxus, perfecting many of those of Theatetus, and putting in irrefutable demonstrable form propositions that had been rather loosely established by his predecessors. He lived in the time of Ptolemy the First, for Archimedes, who lived after the time of the first Ptolemy, mentions Euclid. It is also reported that Ptolemy once asked Euclid if there was not a shorter road to geometry that through the Elements, and Euclid replied that there was no royal road to geometry. He was therefore later than Plato's group but earlier than Eratosthenes and Archimedes, for these two men were contemporaries, as Eratosthenes somewhere says. Euclid belonged to the persuasion of Plato and was at home in this philosophy; and this is why he thought the goal of the Elements as a whole to be the construction of the so-called Platonic figures. (Proclus, ed. Friedlein, p. 68, tr. Morrow)

See also Laying the Foundation with Respect While one indeed had to start somewhere I thought I would start here with, "Foundational Perspectives."

I choose this as an introduction, whilst I will be starting from the ground up. This will include the planning of road way and building site. Since I have this interest about physics and where science is going these days, how could I not incorporate these things into what I am doing currently with my life now? So while I speak about the science end, I am encapsulating "this process" with regard to how I will construct my home.

Is this possible?

Well having spoken of the "Euclidean reference" one would have to know how one departs form such a scheme of Euclid, to know that this graduation to Non-Euclidean geometries was somehow related to the "fifth postulate" written by Euclid.

So of course, we had those who were involved in this development historically, which serve to remind us about where someone like Dali may of been as a visionary, in terms of Time. Or "geometrically inclined" to higher dimensional figures.

It definitely had it's connotations to "points of view." I mentioned religion, but for the nature of Salvador Dali, and his lifestyle, one would have to wonder where he was going with the Tesserack and his painting of Jesus on the Cross?

While I do not subscribe to any religion per say, I do subscribe to the finger of Plato pointing up. Have you for one moment you thought to roll your eyes up in your head, and think of what is up their in your mind? Assign our highest values to goodness. Surely you would enlist the "Colour of gravity" in all situations as you choose to live your life? It's there for the choosing.

Surely, that if you wore a hat on your head, or thought, to think of the roof of your house, you may indeed think of the highest ideals with which you choose to live your life. It's not my job to tell you what that is, that is yours alone.

You will be involved with aspects of the "universal language" that knows no boundaries, no matter your race, gender, or nationality. Yet, it will be specific to you. It will have "probabilistic outcomes" according to the life you are living regardless.

The Secret of the Golden Flower

When ever you walk the pathways in your mind of what ever model, you are laying the road work for that which you will travel through. Why, I may have referred to the title of the "Golden Flower in the Bee story," is a result, that the probabilistic outcome of life calls upon this "chance meeting" to come to what is held in mind. So what's new having the honey of the Bee community?

Do the Bee dance, and you learnt from others what this model is doing. So you travel. You get the benefits of the honey sometimes in new thoughts? There had to be a point "like the blank slate, glass room, a pen and paper ready" in order for the mind to be receptive to what already exists out there in the "form of ideas." How will these manifest? So indeed, it came from deep inside/outside you?

I never thought this inductive/deductive method while thinking it topological smooth in it's orientation, was not the exchange going on with our environment. That if you live your life according to your principles, then the principles would become part of your life. That on a level not understood to clearly, the "colour of gravity" was what we could evolve too? What is our own dynamical makeup, to become part of the ideals we had set for ourselves. We set our own ship in life. The boat or vehicle, becomes part of the way we will travel in our dream time. The airplane we ride.

Below the Surface is a Pattern

Stephen Hawking:

However, by using "matter/antimatter annihilation", velocities just below the speed of light could be reached, making it possible to reach the next star in about six years.

While I presented the "break through in propulsion system" used for space travel by explaining the ideas behind Susskind's "thought experiment." It is with that thinking, one can go back and re-assess what we had thought about "time travel" and such?

Some say it is like conscience effort of reflection? That we go back to the "memory reservoir (where is it-a space between the neurons?)" a "QFT realization" and drag it back up from the field to focalized surface awareness imaging, as some feature of this "time travel scenarion" currently being talk about in spacetime geometrics as warpage? As "an analogy" of the "negative aspect" of conscience?

What is this Inductive/deductive feature then of consciousness?



What is Toposense? A struggle between "discreteness and continuity?" On "large scale" we get "the jest" I think.

It's a problem though, when it becomes chaotic and complex. An "entropic" realization. As if "arrow of time" goes forward, then how is it memory can be retrieved? Or that what exists "in" the blackhole can be used to ascertain what is going on inside and adjust for the "gravitational attraction" outside?"

Perplexities of the theoretical mind

Is mind, the "brain organ?" Did "mind" evolve "according to" the brain organ? If this is so, then what new "appendage" is currently being developed now? What "attribute of mind" will define it?

I'm theoretically challenged. :)

Or, does mind "evolve" the brain matters? If this is so, then "mind" is ahead of the brain matters? What new appendage is formed depends on the mind's development?

It's as if there was another stage "before" the spacetime fabric? :) That the spacetime fabric is "the result."

CP Violation

The value of non-Euclidean geometry lies in its ability to liberate us from preconceived ideas in preparation for the time when exploration of physical laws might demand some geometry other than the Euclidean. Bernhard Riemann

ON a macroscale the blackhole is a understanding of when we investigate curvature parameters with regards to the nature of our universe in spacetime. We understand this right?

What are the "entropic valuations" being recognized as we look to a earlier time of when the QGP existed and then such manifestaion in the "matters states" have exemplified such characteristics as?


Both space and spacetime can either be curved or flat.

I am going to give you a quick summation of what GR is. It is about "Gravity." Now if you hold that in mind you should not loose any time with what I am telling you.

Now, how is it that we can see the dynamcial nature of the universe, yet, we would not consider the effect of the presence of microstate blackholes in regards to such gatherings in the space, of what we call "spacetime?" What would "such gatherings" show of itself?


A circle of radius r has a curvature of size 1/r. Therefore, small circles have large curvature and large circles have small curvature. The curvature of a line is 0. In general, an object with zero curvature is "flat."

Think about the "circle" and it's 2D view of what the blackhole is doing in 3D +time in context of many blackholes. I always refer to "one" so you can see the comparative view that I am having little success in transferring to you, in what I am seeing.

The curvature parameters are closely associated to the thermodynamic realizations. This is importnat not only on a cosmological level, but on a microstate as well.

Lubos explains that here.

Lubos:

There are lots of other examples what you can do to increase the number of black holes. Change the couplings so that the stars burn their fuel faster, and they will collapse into black hole faster. Reduce the gap between the Planck scale and the QCD scale, and nuclear collisions will be more likely to end up as black holes.

It is quite obvious that the change of virtually any parameter of the Standard Model (plus inflation) in the right direction (one of the two directions) will result in an increase of the number of black holes. How can you doubt such a trivial thing?

So there is something about the nature of our universe and the balance that it seeks to maintain of itself? Here we are, looking at events within the cosmo and "secular views of it's manfiestation" different then other locations within the universe. Yet not apart from it, or not indifferent to it's nature to be part of a larger picture?



Silicon Vertex Tracker. The SVT is the heart of the BABAR experiment at SLAC—in the photo, physicists are putting the finishing touches on improvements to the detector. (Photo Courtesy of Peter Ginter)

SLAC's BaBar collaboration has discovered that CP violation—an asymmetry between the behavior of matter and antimatter—exists even in a very rare class of particle decays. This result offers the most sensitive avenue yet for exploring matter-antimatter asymmetries, with implications for the future understanding of physics beyond the Standard Model.

"BaBar has proven to be a fantastic instrument for exploring the origins of matter-antimatter asymmetries, allowing us to probe with exquisite precision very rare processes related to how the early universe came to be matter dominated," said David MacFarlane, BaBar Spokesperson and Professor at the Stanford Linear Accelerator Center.

So here we are having been given the example of CP violation above and here?

How is it that anything could be asymmetrical? :) So you introduce anti-matter and matter?


(ambigram courtesy John Langdon)

If we could assemble all the antimatter we've ever made at CERN and annihilate it with matter, we would have enough energy to light a single electric light bulb for a few minutes.

As a observer Einstein made it clear that the observable universe has ideas attached to it. The "Pretty girl and the hot stove analogy" was compelling to those of us who recognized the values we may attach to life. "The Gravity of the situation?" How narrow our view of the world is when we feel the world is lost?

But the hope and inspiration is, that the world has a bright future when we undertsand the implications of our views. Our involvement in the "toposense of reality? We are "part and parcel" of it?

So, should we talk about the components of Heaven and Hell( my philosophical discourse on the nature of consciousness?)? You have to understand the picture and the dynamical nature this universe can say about it's entropic valuation?

While I may have understood Omega, it didn't come to the nature it is by not including a geomtrical perspective about the nature of that same universe.

That's my point. It had to arise from a earlier time and the manifestation is the matter states we are defining in correlation to the entropic valuations.

While you see these as macro-characteristics and the relation to blackhole in 3d+time, the result is, a explanation of matter states in "macrostylistic beauty" we see in the events of the cosmo.

If such inclinations to drive the energy to a ever smaller defined circle, as it gets smaller "the difference is" not so indiscernable that the events of the "particle showers" created are matter states that arise form the energy that was used.

You see?:)

The Ceiling

The deeper implications of such a thought from perspective is focused upward? Yet such perspective can be made from other positions? So some minds were flexible? Others, were just engineers? ;)

Understanding other worlds came naturally to him. Perhaps it was an inevitable consequence of being the child of Japanese Americans. His parents, though born in California, spent World War II behind barbed wire, guarded by people with machine guns: incarcerated by their own country as enemy aliens. Afterwards his father worked as a gardener, his mother a maid: two of the few jobs that were available to Japanese Americans. Kaku grew up poor, but one of the family treats was to visit the Japanese Tea Garden in San Francisco's Golden Gate Park. It turned out to be the place of a childhood epiphany. Wondering in the way that only a child does, Kaku looked at the carp swimming in a weedy pond and imagined how they would not be able to conceive of other worlds. "A carp engineer would believe that was all there is; but a carp physicist would see the ripples on the surface and start thinking about unseen dimensions," Kaku told me, laying the first of many lashes on his token engineer.

The "ceiling" is the perspective of the carp, not the perspective of the "carp physicist."

See:

Liminocentric Structures: Which Circle do you Belong Too?-Sunday, July 10, 2005

Ps: Some updates are curvature given for perspective. Think of a string, and any point on that string. What does the energy value of "that point" tell you in regards to the circle? The point on that string. It's just a way of looking at the string and the resonantial value assign along the string's length?

Undercut Philosophical basis , "What have you?"

In "Beyond the dance of the sun" I show what we take for granted from a "observational standpoint," and try to increase perception, based on the quantum views.

Is mathematics Invented or Discovered?

"Philosophy In The Flesh"

LAKOFF:

When you start to study the brain and body scientifically, you inevitably wind up using metaphors. Metaphors for the mind, as you say, have evolved over time -- from machines to switchboards to computers. There's no avoiding metaphor in science. In our lab, we use the Neural Circuitry metaphor ubiquitous throughout neuroscience. If you're studying neural computation, that metaphor is necessary. In the day to day research on the details of neural computation, the biological brain moves into the background while the Neural Circuitry introduced by the metaphor is what one works with. But no matter how ubiquitous a metaphor may be, it is important to keep track of what it hides and what it introduces. If you don't, the body does disappear. We're careful about our metaphors, as most scientists should be..

So I asked myself a question.

What if the condensation of the human brain was the reverse, of Damasio's First Law. I mean we can train the neuron pathways to be reconstructed, by establishing the movements previously damaged by stroke. What is the evolution of the human brain, if "mind" is not leading its shape? A newly discovered ability called "Toposense," perhaps?

Okay now, what came first, "chicken" or "egg?"

If one had never read Kuhn, how would one know to respond in kind to the philosophical basis a David Corfield might in sharing perspective about abstractness in mathematical models?

The thesis of 'Proofs and Refutations' is that the development of mathematics does not consist (as conventional philosophy of mathematics tells us it does) in the steady accumulation of eternal truths. Mathematics develops, according to Lakatos, in a much more dramatic and exciting way - by a process of conjecture, followed by attempts to 'prove' the conjecture (i.e. to reduce it to other conjectures) followed by criticism via attempts to produce counter-examples both to the conjectured theorem and to the various steps in the proof.J Worrall and E G Zahar (eds.), I Lakatos : Proofs and Refutations : The Logic of Mathematical Discovery

Okay so you understand as a layman I like to see what is going on out there in the blogger world of mathematicians, I thought I would listen here, and do some research. I had to started out with the presumption that one may encounter and be moved from any positon.

I has to philosophical understand it first.

I have enjoyed both participating in a mathematical dialogue and, as a philosopher, thinking about what such participation has to do with a theory of enquiry. The obvious comparison for me is with the fictional dialogue Proofs and Refutations written by the philosopher Imre Lakatos in the early 1960s. The clearest difference between these two dialogues is that Lakatos takes the engine of conceptual development to be a process of

conjectured result (perhaps imprecisely worded) - proposed (sketched) proof - suggested counterexample - analysis of proof for hidden assumptions - revised definitions, conjecture, and improved proof,

whereas John, I and other contributors look largely to other considerations to get the concepts ‘right’. For instance, it is clear that one cannot get very far without a heavy dose of analogical reasoning, something Lakatos ought to have learned more about from Polya, both in person and through his books.

I was quick to point out what I say about "Observation pays off," and it quickly recieved the trash box. That's not dialogue. :)

Albrecht Dürer(self portrait at 28)

It's about paying carefull attention as to what is created for us in images and paintings. Noticing the "anomalistic behavior" that might be brought forth for our human consumption. It required a metamorphsis for change.

Prof.dr R.H. Dijkgraaf

In that case I pointed out the work of Melencolia II
[frontispiece of thesis, after Dürer 1514]by Prof.dr R.H. Dijkgraaf showing Albrect Durer's images repainted to suit his thesis? So I delved deeper into the image portrayed.

On the surface this information is about what we see, yet below it, it is about seeing in ways that we are not accustom. So, the journey here was to show the nuances that invade perception, and then show what leads further into the understanding of what happens out there in the physics world in regards to the summation of Prof.dr R.H. Dijkgraaf's picture of the original.

‎

Intuitively Compelling

While it does appear that Einstein has indeed given us a paradigm which was indeed world-changing and affected everyone, how well might he have known himself?

He was "driven," as to the" focus and outcome" of GR's growth? Yet, being Jewish, and the meaning he might have had for God(Old ONe) had a perspective about nature, that was embued with a certain terminology?

So having engaged the wording of scientist as of late, I wanted to stay as close as I could to the thinking being developed as they engaged society through their blogging site perspectives.

It was most troubling that any discussing of the timeline and any other constructs place in accordance with that timeline, would/could have been insulting to some, even though it fit into a perspective in terms of microseconds, lesss then somany eseconds of expression.

Again for sure, "thought constructs," most appropriate measures as yard sticks of reality conforming to model approaches? Be open.

Thomas Torrance

In 1978, he won the Templeton Prize for Progress in Religion for his contributions to theology and the relationship between it and science

You must understand there is a current struggle in today's world with those who support the Templeton Foundation, it's scientists, and those who believe science should remain free of such influences, so they propagate any information forthcoming as tainted?

Einstein and God By Thomas Torrance"Do you believe in the God of Spinoza?" was asked of Einstein.

I can't answer with a simple yes or no. I'm not an atheist and I don't think I can call myself a pantheist. We are in the position of a little child entering a huge library filled with books in many different languages. The child knows someone must have written those books. It does not know how. The child dimly suspects a mysterious order in the arrangement of the books but doesn't know what it is. That, it seems to me, is the attitude of even the most intelligent human being toward God. We see a universe marvellously arranged and obeying certain laws, but only dimly understand these laws. Our limited minds cannot grasp the mysterious force that moves the constellations. I am fascinated by Spinoza's pantheism, but admire even more his contributions to modern thought because he is the first philosopher to deal with the soul and the body as one, not two separate things.

The Nature of Reality
Having read all of Jane Roberts books( some might not have taken a shine to such information, but part of the developing perspective included information that was written "intuitively compelled"), so she might have answered a little different, but in essence, thought, to the nature of the universe.

I'll try and find her definition of the building blocks.

So you are give this question as to what the nature of the unverse is? What is it, and people are lead through theoretcial constructs to develope perspective on what that question might be?

Robert Laughlin, does not care if they are Lego bricks or Drunk Sargeant majors:)

Self Organization of Matter, by Robert Laughlin

What Lies Beneath, by Eugene Samuel

Likewise, if the very fabric of the Universe is in a quantum-critical state, then the "stuff" that underlies reality is totally irrelevant-it could be anything, says Laughlin. Even if the string theorists show that strings can give rise to the matter and natural laws we know, they won't have proved that strings are the answer-merely one of the infinite number of possible answers. It could as well be pool balls or Lego bricks or drunk sergeant majors.

One had to indeed understand that the maps drawn, were drawn from thOught constructS engaged from wanting to understanding where first principles may have emerged from?

How would you do that without undertanding where this map began?




So what use to Engage Strangelets, New Physics



So from a resulting comprehension of such first principles, there came this resulting course of events, that went through all the phase transitions, to become what it is, in context of the strangelet, a perspective about a measure in the IceCap?



I have been following this research for sometime now. I will be updating this information here].

One has to know where to begin with all this information, and that such "mental constructs" had to know where this beginning was. While there are few here mathematically endowed, I wanted to come here and share perspectve in context of the neurological idea behind the mental constructs that we develope in science.

This is not without foundation that, "globally," when we now see, we had indeed step back to access the greater potential in "thought generation," and that "mass psychosis," (could we call it that as such a verification by the masses?)" endowed to measure, experimentally verified.

I'll wait to see if you want some time to digest and rethink, if you think, it worth doing that? :)

True creativity often starts where language ends-Arthur Koestler

Intuitively Compelling=Intuitive Grasp of Self Evident First Principles



No matter the ideology spread, is there something today that is quite useful in our approaches to cognizing relevance, from "thought constructs" to actual processes, currently asking us our about the beginning of the universe?

While such solidification ensues from taking a stand, as a concluson drawn, is it compelling as to the nature of what first principles might mean? You had to understand the current environment, to conclude an opinion about the measures and constructs, as to those measures asking if there was another way?

You couldn't know that, unless you might have read the links of Robert Lauglhin and understood reductionistic tendencies(science), as to the nature of our universe? It's like joining quantum perspective with General Relativity? You would have to known how this was acomplished? It's result, and hence it's application within society?

If one had not understood, shall we call it a "probabilistic discourse," to have now understood, that a new course may be set today, was different from the past, by "one additional grasp of self evident first principle?" That a new page may be written( what thinking had done so) which may change the course of our lives?

Of course, some will not have confidence yet. :)
That the potential exists within each of us to understand we are partaking of a quest to percieve where this point in existance might be revealled. If not at the basis of reality, then what use the math? While I generalize becuase of my inefficieny of these interpretations, the vastness of the world of math, there was some undertanding geometrically inclined, that is revealled as we followed the logic leading to GR.

Did it mean we should be devoid of our belief in a God, if we held to science principles, while, we engaged in the subjectivity of our opinions?

It All Began in a Dream?

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

So to me, it is still all out there for us to look? How we might entertain that awe and beauty in nature?

"God does not play dice" by Thomas Torrance
Einstein was not a determinist but a realist, with the conviction that, in line with Clerk Maxwellian field theory and general relativity theory, nature is governed by profound levels of intelligible connection that cannot be expressed in the crude terms of classical causality and traditional mathematics. He was convinced that the deeper forms of intelligibility being brought to light in relativity and quantum theory cannot be understood in terms of the classical notions of causality–they required what he called Übercausalität–supercausality. And this called for "an entirely new kind of mathematical thinking", not least in unified field theory–that was a kind of mathematics he did not even know, but which someone must find.

Once Comsuming any Model

It is difficult to explain how one might have "the feeling" for curvature on cosmological plateau while such tendencies for quantum perception would be rule by uncertainty?

I wonder if such states held in context to what consciousness might be able to percieve at that level of high energy areas, would give indications to particle natures and the curvatures assigned to each particle nature. What gave these meomntum ad emotive feelings to such travel from the initial contact?

How are we able to pierce this veil and environment, while talking about the nature of such curvatures? We wouldn't survive realistically, yet, we are able to perform "thought constructs" to such models?

So looking at time dilation, the photon within environments, what indications for such curvatures, and one gets this sense of momentum, and in another way, something that I have called toposense.

Variable "constants" would also open the door to theories that used to be off limits, such as those which break the laws of conservation of energy. And it would be a boost to versions of string theory in which extra dimensions change the constants of nature at some places in space-time.

Constants with and without dimensions

Nature presents us with various constants. Some of these constants, such as the fine-structure constant, are dimensionless and are not expressed in terms of units. However, other constants, such as the velocity of light or the mass of the proton, are dimensional and their numerical values depend entirely on the units in which they are expressed. The laws of nature do not, of course, depend on a man-made system of units.

To put this another way, if we want to measure a dimensional constant, we need a "yardstick" to make the measurement. But if we obtained one value when we measured the speed of light on a Monday, say, and a different value when we measured it on a Friday, how would we know that our yardstick had not shrunk or expanded? We would not. Moreover, if we were to interpret our observations as a change in the length of the yardstick, how could we verify it without reference to a second yardstick? Again, we could not. And so on.

However, dimensionless constants are fundamental absolute numbers, measured without reference to anything else. Therefore, if we want to investigate if the laws of nature are changing we must measure dimensionless quantities such as the fine-structure constant or the ratio of the electron and proton masses

EQ and Intuition

A 180 degree stance on how "consciousness," body and emotion, might be directed by mind? So, you might say "mind is emphemeral in quality" in some regards?

All heart you say! "Heart" is the balance between? Involution and evolution

Yet, there is a interplay between, "the body home" and "the abstractual mind" further out, while, they reside "in life," with each other? You had to know that this "schematic" was, and is, deeply implanted within our historical minds in many ways? The strive towards "wholeness" is strong even in the scientist?:)

Harmonical patterns of Jenny's, and the modulation of the brain state? Neural correlates to consiciousness, but of mind working from the other perspective, that inherent patterns will be revealled as the truer source of expression and origination of mind moving and all things following?

If conceived as a series of ever-wider experiential contexts, nested one within the other like a set of Chinese boxes, consciousness can be thought of as wrapping back around on itself in such a way that the outermost 'context' is indistinguishable from the innermost 'content' - a structure for which we coined the term 'liminocentric'.

Things borne in mind, brought to reality, and back again? Liminocentric structures are very important distinction in that toposense, possibly?

When presented with certain ideas it was with the recognition that insight and devlopment might begin from a certain perspective. If you change that perspective arouund a bit, just a bit, and the presumption is a 180 degree position :) how would things look if they had followed from mind directing the neurological flows inside that lump of brain?


Damasio's First Law
The body precedes the mind.

Damasio's Second LawEmotions precede feelings.

Damasio's Third Law
Concepts precede words.

Consciouness emerges when this primordial story-the story of a object causally changing the state of the body-can be told using the universal nonverbal vocabulary of body signals. The aparent self emerges as the feeling of a feeling. When the story is first told, sponataneously, without it ever being requested, and furthermore after that hwhen the story is repeated, knowledge about hwat the organism is living through automatically emerges as the answer to a question never asked. From that moment on, we begin to know.

Pg 31, The Feeling of What Happens, by Antonio Damasio


Having some of these books on related subject of intuition and emotion, other issues on the book shelf, I thought because of the event reported by Clifford and others, I would look directly for any wording that might issue in regards to "intuition." I did not find this word in the index, nor in K.C. Cole 's book, "The Hole in the UNiverse."

It is nice to know that times have changed, in regards to the responsibilty and recognition of how this process plays a role in our developing perspectives.:) I would add Joe Polchinski here, but having moved to such abtract realms, it might be to early for the mind to grapple what "inherent model application" this might play in that developing perspective. Still it is nice that Joe offered his perspective there, and all being respective of the science in knowledge pursuate in that event.

EQ and IQ

It is not to hard, when having done research previously, that we will come across ths idea of the Emotional Quotient(EQ) versus the Intellectual one, (IQ).

There seems to be some recognition now of the importance this role now plays?

Foundations of Mathematic

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

In a Question below, is it worth it, to look at the context of what groups who gather might spark to the rest of society(click on it)? Look at what it has done for myself, and the reasons why such inductive/deductive features seem to be a part of the origins of cognitive functions that mathematically display itself?

Is there a theme in this regard through my blog that I had questioned earlier and links brought forth to raise awareness of what might have been implied in that true "consciousness sense" about the very nature of our involvement in the nature of reality?

But then too, awareness, about the death of such sensations. This is most troubling to me, if such model consumptions had made this impression then what had happened to the views as they exploded into the other realms? Other Realms? Why would I introduce Thales as a culminative vision about what could emerge and the father of geometry? Models make our view culmnative and increase the vision capabilites. Is there no one here that see differently after they had crossed a page to find that in our new tomorrows we see reality a little different now?

You have been touched at a most deep level, that goes beyond the death of such sensations as Toposense, or momentums of curvatures. A microscopic eye now, to the quantum nature, right next to your reading from this screen. It's in the air all around you, this potential? :)

Plato:

Mathematics(logic?) and experiment?

I respond in that thread, and although it would seems disjointed from the rest of the commentaries, I thought I was talking directly to Sean's opening post. So I have linked the post on the very title as I have done with previous entires, as they have been setting the pace for my thinking about what views they share and what safety net is placed out there for us lay readers.

Would this impede my question as to the relation of philosphy in Sean's opening statement, to find that it had found a trail that leads to reasons why funding and perspective on it, should be thought about most carefully. Held in the esteem, with which one's adventures in physics and mathematics might have benefited society?

I understand this need for determination, and as well, the need to reaffirm what philosophy might hold in regards to truly active memebers of the science community and the projects they are engaged in. Would they have a distain for the philosophy of mathematics?

I left a question mark out there, and this question although never answered did see some slight comment in relation to the philosophy that where such logic might have gained in relation, being mentioned. I'll have to explain this some more so you understand that I am working hard to make sense of what is out there and viewed, whether in the tabloids, or what ever generalizations made by mathematicians, or the physicist who looks that little bit further.

Shall I quickly respond to the thread commetary or should I continue? I thnk it important that I respond to the comments rasied but I'll do this after by highlighting the area that spoke to me in relation to this train of thought.

I linked a quote from Plato on the idea of philosophy in my comment. I wil be moving from that position.

Philosophy of Mathematics

Foundations Study Guide: Philosophy of Mathematics by David S. Ross, Ph.D.
The philosophy of mathematics is the philosophical study of the concepts and methods of mathematics. It is concerned with the nature of numbers, geometric objects, and other mathematical concepts; it is concerned with their cognitive origins and with their application to reality. It addresses the validation of methods of mathematical inference. In particular, it deals with the logical problems associated with mathematical infinitude.

Among the sciences, mathematics has a unique relation to philosophy. Since antiquity, philosophers have envied it as the model of logical perfection, because of the clarity of its concepts and the certainty of its conclusions, and have therefore devoted much effort to explaining the nature of mathematics.

You have to understand that although I am deficient in the math skills many have, it is not without effort that I am enaging myself in what appears to be beautiful and simplistic design when completed as a model. When we look at what the Wunderkammern had to offer in a revitalizing and dusting off of, models that were concretized for us. Did they lanquish until they were refurbished to the museums of time, so that we may again look at what mathematics has accomplished for us. In ways, that are very abstract and beautiful? What then exist as you gazed into the magnetic field, the dynamcis of brane held issues and the exemplification of design in those branes? It had to follow consistent and progressive developement in the physics of.



The Unreasonable Effectiveness of Mathematics in the Natural Sciences by Eugene Wigner

The great mathematician fully, almost ruthlessly, exploits the domain of permissible reasoning and skirts the impermissible. That his recklessness does not lead him into a morass of contradictions is a miracle in itself: certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess. However, this is not our present subject. The principal point which will have to be recalled later is that the mathematician could formulate only a handful of interesting theorems without defining concepts beyond those contained in the axioms and that the concepts outside those contained in the axioms are defined with a view of permitting ingenious logical operations which appeal to our aesthetic sense both as operations and also in their results of great generality and simplicity.

[3 M. Polanyi, in his Personal Knowledge (Chicago: University of Chicago
Press, 1958), says: "All these difficulties are but consequences of our
refusal to see that mathematics cannot be defined without acknowledging
its most obvious feature: namely, that it is interesting" (p 188).]

Social constructivism or social realism

Now here is the part, that while I saw the devloping nature of the tread of thinking and comments how would I answer and stay in tune? I previously spoke of John Nash and the inherent nature of mathematics as it could pierce the bargaining process, that to have this moved t a dynamcial social and constructive pallette developed in the ongoing relations of nations, why would such a scoial construct not be recognized as to the direction and strength of what mathematics might mean from a cognitive and developing brain that we have.

This theory sees mathematics primarily as a social construct, as a product of culture, subject to correction and change. Like the other sciences, mathematics is viewed as an empirical endeavor whose results are constantly compared to 'reality' and may be discarded if they don't agree with observation or prove pointless. The direction of mathematical research is dictated by the fashions of the social group performing it or by the needs of the society financing it. However, although such external forces may change the direction of some mathematical research, there are strong internal constraints (the mathematical traditions, methods, problems, meanings and values into which mathematicians are enculturated) that work to conserve the historically defined discipline.

This runs counter to the traditional beliefs of working mathematicians, that mathematics is somehow pure or objective. But social constructivists argue that mathematics is in fact grounded by much uncertainty: as mathematical practice evolves, the status of previous mathematics is cast into doubt, and is corrected to the degree it is required or desired by the current Mathematical Community. This can be seen in the development of analysis from reexamination of the calculus of Leibniz and Newton. They argue further that finished mathematics is often accorded too much status, and folk mathematics not enough, due to an over-belief in axiomatic proof and peer review as practices.

This gets very comlicated for me. Yet I recognize the inhernet pattern at the basis of these negotiatons and the games involved. More to follow, and short on time.