Aristotle and the Logic of the Natural World

Aristotle's logic, especially his theory of the syllogism, has had an unparalleled influence on the history of Western thought. It did not always hold this position: in the Hellenistic period, Stoic logic, and in particular the work of Chrysippus, was much more celebrated. However, in later antiquity, following the work of Aristotelian Commentators, Aristotle's logic became dominant, and Aristotelian logic was what was transmitted to the Arabic and the Latin medieval traditions, while the works of Chrysippus have not survived.

First and formost one should be drawn to the very highlighted statement emblazoned at the top of this blog.

PLato saids,"Look to the perfection of the heavens for truth," while Aristotle saids "look around you at what is, if you would know the truth"

I have to move quick forward here and reveal why the thinking is quite intense in terms of what such logic would have been revealling by "looking around you at what is." While I recognize this basis implanted in the natural world, such divisions arises from what had already existed. What we could accesss, as tangible realities of the ideas around us. "From whence they come?"

So maybe a list of the maths involved so far? If we can wrap these maths then what had we done from the perspective of the natural world? Would such creation of a new math help here?:) I have an idea, but all that thngs that currently exist and that will exist are already here. We just have to access them right? So what would support such adventures froma philosophy that had endured to realites of the natural process from the logic of a math? What math would this be?:)

Algebra

Geometry

Trigonometry

Calculus (single variable)

Analytic Geometry

Linear Algebra

Ordinary Differential Equations

Partial Differential Equations

Methods of approximation

Probability and statistics

Real analysis

Complex analysis

Group theory

Differential geometry

Lie groups

Differential forms

Homology

Cohomology

Homotopy

Fiber bundles

Characteristic classes

Index theorems

Supersymmetry and supergravity

K-theory

Noncommutative geometry (NCG for short)

So the idea is that Plato and Aristotle stand together, as a basis of what is happening in our world now. Between those of science and the resulting needs for experimentation. The roads to lead from the underlying avenues of philosophical thought, that would include math develoepment.

Now how is this possible you ask? How is it possible such logic coud have been so revealling of nature that we would strive to find it's meaning in patterns underlying the nature of this reality, are actually abstract rules of engagement, that had been developed through philosophical thought? How so?

If we look at the number of mayh creations what uses are these when moved into the basis is of the natural world? Would you not think these modes of thinking would be tempered by such logic, that math would find it's birthing as to the need for such expressions from this natural world?

So part of the realization is that the creation of the math had to have already existed in the forms of natures response, and that such access gained to these ideas, are worth noting as a means to what already existed in nature. That is my logic:)

Experimentation

So is there a method to the madness of all these tidbits of information that would wrap all of this in a easy way to divine the logic of the natural world? Is it beyond comprehension? I don't believe so, or why would I waste my time as a lay person, to move into this world of a higher standard of abstract thought and developing sciences, to wonder about the origins of the nature of this reality and the cosmolgical equivalent of asking what happened in that beginning of creation?

Would it be so subtle that such logic woud have been driven to ask where this beginning was, and what roads had currently lead all these minds to this very question.

Some act very safe, and walk safe ground, by what methods are currently tangible in our assessments, while other are quite adventurous. Some ask, that you stay in line, with current experimentation or suffer the wrath of deriving illusionary tales of ideas, that had not matured yet, as to the feasibility to what will express this logic of the natural world.


Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"

So mine is a simple philosophy, that holds complex variables. A simple painting, that holds a thuosand words?:) To me Math is like that, yet I am deficient in all the logic it had to bear down on the natural processes in this world. While my collegues are simple folk, I recognized the diversity of that group that Lubos and Clifford belong too. This is the origins of my statement. I understand as well, about the crackpostism that follows aether rejuvenation, yet I see the graviton as a member of that spacetime fabric.

Is this enough to speak on the creation and fabrications we like to embue to that natural world? Is it enough to understand these concepts, and find such roads leading too, are the very fringes of what is known and came from a brighter light that shines from behind us, to those shadows on the wall?

Charlatan's Who Use Graviton?

Are Gravity people Charlatan's?:)I certainly don't think so.:)



well this is a good perspective with which one could move forward and explain it for us lay people here? :)

Lubos Motl:

The graviton is, on the contrary, an example of a correct derivation from semiclassical gravity - a legitimate approximate unification of GR and QM. Its existence follows from the theories we have, even given some degree of ignorance of quantum gravity at higher energies, and at the semiclassical level, it is absolutely analogous to the photon.

The only difference is the value of the spin, the geometric interpretation of the graviton, and ultraviolet divergences from loops.

I might have had wrong ideas here about what the graviton as a force carrier "proposed?" To exemplified what gravity is...as a further extension of the theory of general relativity? Lubos sets it straight then on such joinings.

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.

I myself might find it nice to have the origins of how this graviton came about. How one might be mistaken to have seen the bulk as a teaming with them(blackholes?), and such congregations telling, about places stronger then, while others are weaker.

How telling is the photon as it travels through these spaces? What was the initial trigger that set things free as Hawking radiation? Some analogies there to consider as well:)

So it would be nice then if one could find analogies that would sit well and sink deep. You know that the general public likes to think easy, and not finding relevant all the dressings of mathematical explanations. Or do they?

Is it wrong to move so far ahead theoretically to be called a charlatan, by those who recognized the limitiations of experimentally proving it?

The 5th Dimension and the Networld

Hi Darwin,

You thought my statement foolish, about Immanuel Kant?

Instead of Darwin I thought maybe you might envision yourself as Aristotle, as you stand beside me, under the "arche.":)

That what religion does is build concrete things, and so to models, for apprehension. If you stand and look at the room, why would I ever direct you to the picture on the wall? You have to draw back and take in a wider picure of what you see of Plato?:)

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

-Plato, The Republic (Book VII)

Gerard t'Hooft, as well as Heisenberg, used comparative views establish from the Dialogues. These things were taken into the schools of learning.

So by your reasoning, condensed matter physicists would be really happy to just deal with matter principles(whatever the building blocks of matter are?)The bottom up approach, while holography by philosophical attachment, should become irrelevant while we discuss the dimensional significance of where we are now in the networld?:)

I am a student and learning, please be kind.:)

Unity of disparate Pieces

damptdweller:

Even if you take the string theorists viewpoint that the energy may “leak” away into a brane instead of actually disappearing I think I’m correct in saying that you still need to ensure that energy is conserved regardless.

Plato:While some might of thought it "dreamy," there is a direct physics correlation to that leaking in the collider. Although it is encompassed, like you said.

So where did it go, and how is "it" encompassed?

Sean:

understanding the unity of disparate natural phenomena.

So some people tried to form "new models" to help extend the way perceptions in science have always existed?

In a similar manner, in string theory, the elementary particles we observe in particle accelerators could be thought of as the "musical notes" or excitation modes of elementary strings.

While there was "particle states" to consider in terms of fermionic realizations, there was bosonic(force) interpretations that arose as well?

If such states were considered in the colliders, then, what valuation would have seen the extension of what is leaking to have been encompassed? Here the onion signatures are relevant.

Bulk Perceptions?

While the "brane features" seem to answer this, what moved the ideas of bosonic interpetations as features beyond the colliders? This all had to make sense to me. So the history of the expansion of processes, have been altered much as you would look at sound? Gia's example of hitting metal plates, to sound created when billiard balls collide, to exemeplfy a greater understanding of what theoretics is doing here?

Sound in relation to collision had a effect? It was this effect beyond the brane that was considered.

How could such thinking have lead to such abstractions and analogies if the theoretics had not be connected in the consistancies that are required of science?

As Maxwell equations were encompassing. As Einsteins theory of gravity was encompassing. By this methodology what came next? You has to understand this "tree of expression," in the modes of this thinking society "branched" to followed a format?


Time-Variable Gravity Measurements

As well as, the expansion capabilities of our brains?:) Osmosis, would have greater impact then:) From the ground up, as this tree grew? :)

Developement of Disbelief

As you read, hold on to the thought about stringy/M theory developement.

Richard Denton:

I discovered that it was simply philosophy on its own that had played the very much larger role in the gradual erosion of belief.

This is a interesting statement to me since some scientists might think that to have even included this in our "developing perspective" might have showed immediate signs of weakness? Evil?

As if, math came out of all natural things, on it's own?

So how did such views change us if we did not think about them more critically?

See, I am not sure I like to think that there is "no God" that can be substitued by taking this power of belief outside of ourselves to religions and institutions. Crippling us, as to the empowerment we have for such changes in our own life?

While we had seen the topic of "stringevangelism" introduced, there wasn't this concerted effort to make string as a all empowering "theory of everything( what underlying reality was referred too?)", even though, some would try to "invoke" these Godly powers of discrimmination. As a facist group, that would censor any views contrary to their own, as to what seemed, "stringevangelistic?" :)

It then became the same institution, that it despises? Some might know who I mean here. If I stood up to it, could I change reality as well, as to that this group invokes into society?

Anyway while I used Jo-Annes thread, "A little Bit of Heaven," to highlight this quality of earthly senses?

Topo-sense

Plato:

This intuitive feeling that is generated once math processes are understood are realized in dynamical movement revealled in the brains thinking? Had to arrive from lessons it learnt previously? Pendulums, time clocks, great arcs, and gravity?

I sought to internalize Gr's momentums, with Mecuries orbital patterns, or Hulse and Taylors expanding awareness of other things(gravity). I started to ask myself if this internalization was wrong? Is Topo-sense wrong? As too, intuitive unfoldments of the subject, in regards to Genus figures(holes)? Would it perish too? Revelations, leading to maths used?

Internal developement would have revealled a greater core depth of the realities around us. Which are highly abstract, yet, could have lead to insight and convictions held in astronomy happenings in the cosmo(isomorphic relations?)? So this internalization developed conviction, with the basis of Gr's valuation of quantum mechanical things, to cosmological proportions?

Strings as a model then, that could lead to perspectives with "langangian valuations" not only in terms of supersymmetry(concentration of a all pervading "beginning" that we could resort too,) as I espoused in Andrey Kravtsov computer's model.

That such relations in our philosophical orientation of physics would endure in measure, culminate with "fineness" and valuations of gravity perspectives. Could you do this, without some model?

So, would the "counter of belief in God," be the lesson the valuation of what one holds by introducing atheistic valautions, AS TO ROADS LEADING TO "COMMON SENSE?"

While I used stringy comparison for examination, this leads back again to what models can be used to keep the human beings empowered, without stealing this away from them by such institutionalizations? Continued reflection, thwarted, as to no experimental valuations yet philosphically introduced. You remember the opening statement I used?

I thought about the choices we make then, and the convictions we have. Would this have been irrelevant in our assessments of our own characters? After all, it would be you who walked back into society to think about the Smolins and Susskinds who would debate the essence of the backgrond?? What is understood, and what stringy needs to do?

Music of the Spheres

Strange Geometriesby Helen Joyce

Both spherical and hyperbolic geometries are examples of curved geometries, unlike Euclidean geometry, which is flat. In spherical geometry, the curvature is positive, in hyperbolic geometry, it is negative.

I thought I should add the "ascoustic variation" of the struggle for music in the world of "good and evil" as well.

That such "chaos created" in the minds of our youth, would have been frowned upon in Plato's academy.

By such reasonings and understandings of how such sound valuation may have been taken to spherical proportions? Should be no less then the consolidation points, as poincares distribution of eschers angel and demons pictures describe?

What avenues had been less then discribed on those chaldni plates that they had been reduced to dimensional avenues discriptive of the chaldni plates, as a fifth dimensional understanding? Langrangian discription of points L1 or L2, and a visionary context of Sylvestor surfaces as proponents of B field manifestations as part of genus figures with holes?

See:

Angels and Demons

Heaven's ephemeral Qualities?

"Materialism:

Basically, the view that everything is made of matter. But what is matter? Probably the most innocent and cheerful acceptance of it comes right at the start of materialism with Democratius of Abdera (in Northern Greece) in the fifth century B.C., for whom the world consisted entirely of 'atoms', tiny, absolutely hard, impenetrable, incompressible, indivisible and unalterable bits of 'stuff', which had shape and size, but no other properties, and scurried about in the void, forming the world as we know it by jostling each other and either rebounding (despite being incompressible) or getting entangled with each other because of their shapes. They and the void alone are real, the colours, flavours and temperatures that surround us being merely subjective. This model has lasted, with various modifications and sophistications right down to modern times, though the notion of solidity was causing qualms at least as early as Locke. But, in the last century, all has been thrown into confusion by Einstein's famous, E=mc2 and also by general relativity. Mass, the sophisticated notion that has replaced crude matter, is interchangeable in certain circumstances with energy, and in any case is only a sort of distortion of the space in which it was supposed to be floating. Photons and neutrons have little or no mass, while particles pop out of the void, destroy each other and pop back in again.

'The Oxford Companion To Philosophy', edited by Ted Honderich. Oxford University Press, 1995




Heaven in one sense, as a ephemeral quality(violet or blue), but in the gratification of savoring smell and tastes, these are not true bearers of the "quality of thought" are they? These sense are more.....earthly then?

I struggle. :)


If such senses are to perish, then what shall be everlasting? If intuition, is to only serve it's purpose until the math is adorned, then what shall this math be, in the state of the abstract mind(yellow)?

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

Srinivasa Ramanujan

Ramanujan's thought about equation is emotively charged (red), that this too issues from such a mental abstract, as to be from heaven and descending?

Wait! It's about heaven on earth? Really? :) Heaven is only a state of mind? (r/light)?

Am I Okay on analogies then, to confuse the mind about these states of heaven, that I could have mixed heaven up, as to the varities of "time and segments," as our own colorful experiences?

What song sung then, that each musical octave gain, and of loss is its own vibratory tone? Yet, it existed in the very fields of the sun, as a chemist combines?

A Clear Presence

Can one miscontstrue your words even more? :)

Lee Smolin said:

Of course if the theory is right-and we never assume so-we must show more. We must show that the ground state is semiclassical, by solving the dynamics. This is a hard problem, analogous to showing that the ground state of water is a solid. But as this is the focus of attention there are beginning to be significant, non-trivial results on how classical spacetime can emerge from a background independent quantum theory.

Jacques Distler:

But the mere possibility of such surprises should not reduce us to labelling every as-yet-not-experimentally-verified statement to the status of mere “opinion” or rank “speculation.”

While I am extreme with my "Angels and Demon" such comparative functions had not been limited too, the basics of such assumptions, but had indeed been dressed up by good science woman/man.

We all like a good story. Those, in regards to time travel or Contact like movie(science that is consulted as to the edge of what theoretcial positions had beem pushed).

Yet indeed even within the boundaries of work sciencetists bring here a division of what is hoped for, as a "reduced basis of assumption," could have been misleading as to the real science or not?

Is it illusion that we play with, that we would want the purity of thought manifested on the public scene, as warped mentalities of what many scientists would disgust them? This "clear presence?" An "open heart clear mind."

The story of Angel and demons has been misconstrued in science by very bright scientists, using the nature of right and wrong, as inherent features of negative and positive curvatures?

Taken to mean this theoretics and that, are indcative anomalies of the good and evil in society. Is it political? Or shall we play with the very concepts and misconstrue them for what they really are?

Raphael Rooms

The fog is immmense and greatly hides the idea of this clear presence. Opening good hearts and minds as to the attempts to get rid of the illusions that would take hold of society? Allow the greater vision of perspective, a picture, that had been piecemealed, to raise a reality of what the picutre is painted on, the room it sits in, and what each parts of it, are telling the story about the geometers of the world?

Angels and Demons

Now how could such good thinking minds have not seen that the publics understandings might have been warped by the very underpinnings of good science men/woman, and all the issues become some fictional story for what evils and saints can do for us.



So was it some distant function of creation that we should not recognize the negative effect of all "good things" that will emerge from the actions of what is revealled to us in our "rainbows and aurora's," that we would not seem pleased as to the emissions have to say in the wave forms that surround such things?

Can we hope to use antimatter as a source of energy? Do you feel antimatter could power vehicles in the future, or would it just be used for major power sources?

There is no possibility to use antimatter as energy "source". Unlike solar energy, coal or oil, antimatter does not occur in nature: we have to make every particle at the expense of much more energy than it can give back during annihilation.

You might imagine antimatter as a possible temporary storage medium for energy, much like you store electricity in rechargeable batteries. The process of charging the battery is reversible with relatively small loss. Still, it takes more energy to charge the battery than what you get back out of it. For antimatter the loss factors are so enormous that it will never be practical.

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.

So while good thinking men and woman dance with the ideas of Einsteins geometrical propensities to answer thse functions, what spherical relation would have said, that for every sun that burns out, it will rejuvenate itself, by strict geometrical functions in anti-matter creation to bring forth this "new vision" of the world.

Create this wonderful unlimited resource of energies that exist around us now?

So again let's take this back to the Pierre Auger examination of what is taking place outside of the collider expeirments. While it is nice to have these controls, why were we not informed about the potentiality of what exists as you pursue your visons to the very beginnings of this universe? That this beginning would take place right next to you? Is this wrong that we not assign astronomical valuations to the very nature of our world now, as such interactions take place between the sun and earth? That in those compacted dimensions, such calculations would reveal the thinking of relative and mathematical entities, as signals of the events that can take place everyday around us as well.

Einstein was very revealling in what could be taken to a larger scale for what could split apart, so it is not so unlikely that ourvisions have been curtailled,just becuase we did not se the actions that could take plac ein a larger scenario?

So did Heisenberg see what was revealling towards these geometerical propensities, as events unfolded themselves?

Update:

if your foci is "string" enough, you might realize it is less than K=0 :)


All M.C. Escher works (c) 2001 Cordon Art BV - Baarn - the Netherlands. All rights reserved. www.mcescher.com

While some believe in positive curvatures they also understand that the inception could have a negative effect, yet it would not be "angel and demons" they espoused?

We are all better then that, right? There is a "greater whole" we are each part of? To further extend this empowerment beyond "good and evil in religion" think of sound then, and the related entry below. Maybe, it will have a certain resonance for you?

Music of the Spheres

About how the brain's neuronic vitalities of vison are enhanced, and related?

Wunderkammern

Paul Dirac and Geometrical Thinking?

Into the Antiworld was originally staged at CERN inside the underground cavern that houses the Delphi experiment, in which collisions between electrons and their antiparticles - positrons - are studied. That setting must have been awe-inspiring, particularly as the show closed. The audience would have been whisked from the wonder and novelty of Dirac's theory over 70 years ago to the sophisticated particle physics experiments of today that the discovery inspired. At CERN, the curtain behind the stage ripped apart to reveal the Delphi detector the performance ended - but the gigantic photograph of the Delphi experiment that concluded the show at the Bloomsbury worked surprisingly well.

Oh what fanfare and dance is given these genius's that we find the story ends with where the future begins.

The Quantum Theory of the Electron



Paul Dirac

When one is doing mathematical work, there are essentially two different ways of thinking about the subject: the algebraic way, and the geometric way. With the algebraic way, one is all the time writing down equations and following rules of deduction, and interpreting these equations to get more equations. With the geometric way, one is thinking in terms of pictures; pictures which one imagines in space in some way, and one just tries to get a feeling for the relationships between the quantities occurring in those pictures. Now, a good mathematician has to be a master of both ways of those ways of thinking, but even so, he will have a preference for one or the other; I don't think he can avoid it. In my own case, my own preference is especially for the geometrical way.

Can one distinguish something that is of nature as the basis of reality, and see this before it is algebraically written? Jacques mention where the intuitive lines ends and where the math begins.

So from this statement then, it would have been impossible for Dirac to know what the matrices would look before it was algebraically written?

If there is "no physics" and we are defining things from the horizon or boundary, then what geometry wil be revealing of this nature? Can it be concieved as it was by Dirac?

I was thinking of Lenny Susskinds picture of the rubber band in his mind after working hard to mathematically understand. Did comprehension come by way of his mathe equations or by geometriclaly viewing?

THE LANDSCAPE [12.4.03]
A Talk with Leonard Susskind

Einstein said he wanted to know what was on God's mind when he made the world. I don't think he was a religious man, but I know what he means.

Albrecht Dürer and The Magic Square



So the complexity of geometrical form would have been of value if we had seen the way that it might have taken that vision into the geometrical formations of spin orientated understandings? Isomorphic relations of the orbitals relations in cosmological events?