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Network Propositions
6600 - 6799


6600
Existence is both infinite and finite.


6601
When any characteristic of a set is infinite, the whole set is infinite.


6602
All things finite are subsets of the infinite mainset.


6603
That which is infinite is absolute ... that is, wholly in each of its subsets or parts.


6604
All denominators, of fractions of an absolute integer, are infinite. (Note: A 'denominator' is the lower number in a fraction which names the parts into which the integer is divided.)


6605
All parts, of an infinite absolute, are infinite and absolute.


6606
As each part (of existence) is absolute, it can only impart its full meaning in terms of its absoluteness.


6607
Finite concepts only gain their full meaning infinitely ... and the progression of meaning, from finite to infinite, is a transfinite progression.


6608
As no thing can be proved by reference to itself alone, the absoluteness of existence cannot be proved.


6609
As existence is absolute, all its parts are absolute and it is not possible to prove any of its parts ... that is, it is not possible to prove any aspect of existence.


6610
Given our postulate, that existence is absolute, it follows that each one of us is absolute.


6611
The more a part (of the absolute) empathises into other parts, the closer it comes to realising its own absoluteness.


6612
Some take a dismissive view of the 'existence is an absolute' postulate. They say that, if all parts are absolute and equal, nothing we may say has any meaning. This is not so, for every event/thing/word/thought has absolute meaning.


6613
When a part realises its absoluteness, it realises all the potential qualities and potential powers of absoluteness.


6614
Meaning comes from the focusing of attention and the focusing of the senses.


6615
A threat to survival focuses attention and senses.


6616
Physical people are survivally oriented physically; intellectual people are survivally oriented mentally; and spiritual people are survivally oriented spiritually.


6617
Physical meanings are in clearer focus to physical people; intellectual meanings are in clearer focus to intellectual people; and spiritual meanings are in clearer focus to spiritual people.


6618
Physical, intellectual and spiritual people share words in common but they don't share meanings in common.


6619
In the transfinite progression of awareness, intelligence becomes intuitive intelligence.


6620
Transfinite beings are intuitive beings.


6621
Multi-paradigmatic intelligence is closer to absolute intelligence than uni-paradigmatic intelligence. Absolute intelligence is the collective intelligence of all viewpoints and of all paradigms.


6622
0 Lord, wonderfully, there is no thing of me which is not thee.


6623
From now on, we will tend to write our own ticket. We will write our own ticket as to what the truth is; we will write our own ticket as to what God is; we will write our own ticket as to what we ourselves are. We will tend to write our own ticket for everything.


6624
As existence is an absolute, which is infinite and which is wholly in each of its finite parts, each finite part carries the sign of infinity: This is its qualitative sign. An absolute mathematics may possibly be developed along the lines of Cantor's transfinite numbers, but finite mathematics cannot cope with infinite qualitative phenomena.


6625
A propositional network is a qualitative mental entity ... somewhat like a mental vortex: It pulls in more and more creative mental energy.


6626
A propositional network is an extensive enhancement of the personality of its originator.


6627
As I develop my network, I increase its level of quality, energy, utility and value.


6628
To many people, 'truth' is flexible and may be changed or adapted, according to survivalist needs.


6629
Some recognise truth as a sacred quality. The ancient Egyptians worshipped truth as the goddess Maat (wife of Thoth).


6630
As we reach out to discover the truth, we create the truth. We appear to reach and discover finitely, in the moving present ... but we create transfinitely: That which we reach for and discover, we create transfinitely.


6631
When we persist in perceiving existence in finite terms, we place finite parameters around perception and truth.


6632
Parametered perception is partial truth.


6633
Parametered perception tends to treat intraparameter concepts as real and extraparameter concepts as unreal. Parametered perception seeks to restrict reality ... but, everything which exists is real.


6634
The transfinite and infinite categories of existence are just as real as the finite categories of existence. There is one absolute existence and all is real.


6635
To gain the truth is to gain understanding of what we ourselves are: The journey to truth is the journey to self-realisation.


6636
Non-specialists often discover the new visions and vistas of knowledge.


6637
The more interest and attention we devote to God, the more real and qualitative our God becomes ... and the more like we become to our God. Moment by moment, we design and build our God.


6638
God, the Absolute, is wholly in each and every thing: He is wholly in each of His parts. Does this mean that each one of us is God? ... no! To be God, one needs to be fully aware that he or she is wholly in each and every thing.


6639
Godship is shown by full empathy in and of all things ... of all parts and expressions of existence ... of complete oneness with each and every thing and with each thought and happening.


6640
If one fully realises the Absoluteness of God, one is truly God.


6641
Until one realises that one is wholly in each and every thing, one does not fully know God.


6642
What then is God? God is the Absolute; God is the totality of existence; God is wholly in each part; God is wholly in each being or monad; God is aware of each of us; God lives in and through each of us; God is our 5oul is our soul and father and mother and our closest and absolutely loving ally and friend.


6643
Any quality of a human is a quality of the Absolute. As we know loneliness, God also knows loneliness. That which is experienced severally is experienced collectively.


6644
It is enough, that God be perceived as a person, for God to be a person.


6645
If we wish to feel warmly and cuddly-close to God, we have only to think of Him as experiencing all our trials and pains, in greater agony than we ourselves endure. When we do this, we empathise with Him and comfort Him. It is pointless to blame Him ... but, if you do, He won't mind.


6646
That which we perceive is real; that which we know is real; and that which we think is real. To be real is to exist ... and everything exists: Everything is a state of being.


6647
The paradox of human divinity is that we are God but we aren't God until we fully realise what God is.


6648
There may be social justifications for seeking to change the mental realities (of those perceived to be mentally deranged) but there are no convincing ethical, philosophical or religious justifications for so doing. It is the right of every human to create his or her own reality: However, societies are entitled to protect themselves.


6649
One seeks, selects or invents one's realities in order to survive. If we accept each person's right to survive, we should not attempt to deprive a person of his or her realities.


6650
To believe in what has not yet happened requires faith.


6651
Prediction science generates predictions and generates faith in those predictions: Prediction science generates faith.


6652
Those, who share knowledge of the future, are brought closely together in communication and understanding.


6653
To share knowledge of the future is to share a common faith.


6654
As faith is central to religion and as prediction science generates faith in its predictions, prediction science tends to develop a kind of religious following. This following is analogous to the religious following of a prophet.


6655
This network is a being in its own right. Every being has a vibe (or aura) and this network has its own particular vibe. Vibe-auras work like chemical valencies ... attracting certain things and repelling others. By such selectivity, this network tends to create its own truths.


6656
As we create what we know and destroy what we know, creation and destruction are transfinitely indivisible: They are two aspects of the one phenomenon.


6657
As we absorb what we create and know and destroy, we metamorphose. The process of knowing/creating/destroying/absorption is the process of metamorphosis ... a transfinite process which is essentially one, but which is apparently several, from a finite point of view.


6658
Knowledge is essentially transmorphic.


6659
To know the physical body is to create the transfinite body. We are one body, and we metamorphose as we come to know it. As we progressively know our body, chameleon-like, we change it.


6660
The more we know about the future of the physical world, the less the time-span of the future physical world. To fully know a physical expression, is to nullify that expression.


6661
News is qualitative, and news about future happenings is highly qualitative.


6662
A monad is a kind of spiritual vortex.


6663
The more self-realised the monad is, the greater its powers of attraction.


6664
The greater the self-realisation of a monad, the more 'space' it creates for itself and the greater its creative potential becomes.


6665
Monads of lesser power are attracted to monads of greater power and of the same spiritual valency.


6666
Transfinitely, formal logic has no application. Intuitive intelligence and creativity, yes ... but finite constraints and finite concepts and finite reasoning, no.


6667
In heaven, there are no numbers or mathematics or syllogisms or dialectics or debates: In heaven, all is intuitive.


6668
Our transfinite life is an intuitive life which continues regardless of the processes of reasoning and logic. We may not be fully aware consciously of our transfinite life but it exists; it is natural and instinctive; it is like dreamed reality.


6669
If we are to be comfortable and happy in this metamorphosis phase, we must gain a greater awareness of our transfinity ... that is, of our transfinite condition.


6670
Our thinking, philosophy, moods, attitudes and motivations are greatly subject to changes of personal health and wellbeing.


6671
We are essentially coherent, cohesive beings: We create of our own singularity ... and, as we create, we transmute our quality from singularity to randomicity (chaos), and thence to forms of matter, mind and spirit.


6672
Our species is absolute; our species is its own creator; our species has no prior.


6673
Although we appear to have externalised ourselves physically, the physical is still us ... and, when we disperse its forms, it remains us. That which we are, we are: We are all there is.


6674
The energy and randomicity (chaos) of the void is created of us and by us.


6675
When we say that we are creatures of the void, we mean to imply that we are all there is: We create ourselves.


6676
Having created our forms in physical phase, we transmute them into mental-spiritual phase. As we do so, the physical is de-qualitied, and its quality becomes the quality of our mental-spiritual life.


6677
The physical medium is our 'potters' clay', so to speak.


6678
The physical phase is our self-discovery phase.


6679
We are essentially creative ... and all action, whether perceived as constructive or destructive, is creative.


6680
Being absolute, we never lose anything of ourselves. Thus, we are coherent and cohesive: For ever we change and for ever we remain absolutely the same.


6681
Our species is like a wild plant, a cohesive wild plant ... and that is how we grow, like a wild plant: We are a wild plant which grows upon the void. Being both infinite and finite, we are a transfinite wild plant upon the void ... and we create, of ourselves, what we want to be.


6682
Wherein lies the personality and coherence and identity of a network such as this?: It lies in its philosophy: It's many views come together and are cohered in its philosophy.


6683
Many living things tend to resent and oppose analysis for they sense that, under analysis, they will die a little or die a lot or die entirely.


6684
Although this network is assisted to grow like a wild plant, it is also assisted to multi-vector, in order to provide cross-check bearings upon the future (see pages 28-30).


6685
God is the collective of all existence, and God is that which we need God to be: God is the God of our need.


6686
Rationality indicates that all propositions of this network should be logically consistent with each other ... but there are many other indications to the contrary.


6687
Practical common sense indicates that if a proposition can help in predicting the future, it should be included, whether it is logically consistent with other propositions or not.


6688
The restrictive parameters, of paradigmed viewpoints, warn us against being 'sucked in' to paradigm 'vortices'. We need many paradigms in order to avoid such dangers.


6689
Many differences argue a multi-paradigmatic approach. Such differences include (inter alia) ethnic, religious, philosophical, psychological, educational, personal, genetic, environmental, motivational, physiological, neurological, biological, survivalist, social, political, professional, occupational, and differences of language, meaning, interpretation, emphasis, priority, vector, direction, location, situation, objective, method, mode and mood.


6690
The annual period may constitute a kind of natural breeding period for predictions ... and for their communication and understanding.


6691
Like everything else, time is only a problem when you don't understand what it is.


6692
Poincare is reported to have said ... 'I know it must be right, so why should I prove it?'


6693
This propositional network, like existence itself, is a creature born of void and chaos. It would be a mistake to seek to impose any order upon it, other than its own order.


6694
A savant has noted that belief gives added power.


6695
The three most important elements of prediction are:


6696
I need to constantly remind myself of the gap between my knowledge/viewpoint and that of the average person. Most people do not understand the full implications of concepts such as absoluteness, transfinity, self creation, entropy and metamorphosis. I need to bear this comprehension gap in mind when I word my predictions and when I respond to questions.


6697
No one is especially chosen or favoured by God. God is wholly in each of us, His children, and He loves us all absolutely.


6698
Strongly defended paradigms create tension, but tension is essential to the creation process. Paradigmatic dogmatism is essential to the creative development of knowledge.


6699
As absolute beings, we are wholly in each of our past, present and future moments ... and, to seek to forget any aspect of our past life is to seek to deny our eternal life. To belittle any moment of our life is to abate our awareness of eternal life.


6700
As God is wholly in each person and wholly in each viewpoint, those who empathise into many viewpoints are closer to Him in awareness and understanding.


6701
As God is wholly in each and every person, when we judge another person, we judge God.


6702
In order to become aware of unexpected future events, a predictor must spend much time dwelling on and in the future. This exercise needs to be strongly intuitive and empathic, as well as intelligent.


6703
Our species is qualitative, absolute and transfinite. Its existence is not constrained or limited to materiality and physicality: It has demonstrated its mental and spiritual dimensions ... that is, its transfinity.


6704
Everything is a matter of belief and opinion. 'Beauty is in the eye of the beholder' may be also stated as 'beauty is in the opinion of the beholder' or 'beauty is in the belief of the beholder'


6705
All is absolute; all qualities are of the absolute; all qualities are absolute; all is quality; opinion is qualitative; all qualitative things are a matter of opinion; opinion is a matter of belief and will; all qualities are integrally related.


6706
That which we opine is our reality. The opinions which we hold in common are our common reality.


6707
Our species has hive or colony aspects, analogous to ants and bees. Physically, many members of the species may be allowed to die off (by starvation, disease, overwork, conflict or expulsion), and the thing that really matters is the survival of the species. And our species is analogous to insects which metamorphose from form to form ... and, being transfinite, our species can metamorphose to non-physical form. Being absolute and absolutely capable, our species will survive.


6708
Time, space, and all things finite, are qualitative ... and, being qualitative, they are matters of belief, opinion and will. The universe and all our realities are matters of belief, opinion and will.


6709
We create and destroy by changing our beliefs and opinions.


6710
All qualities are what we believe them to be. Beauty, justice, courage, right, wrong, love, texture, colours etc ... all these are what we believe them to be. Longevity, eternal life ... these are what we believe them to be.


6711
Opinion is what we will to believe. Will is paramount: All things are qualitative and they are what we will them to be.


6712
All qualities are integrally one and all is will. Will determines whether there is life and what that life is. The key question is ... 'what do we will things to be?'


6713
That we now create nuclear explosions and radiation, indicates that our reality is now an explosive and radiative reality ... a physically destructive reality. Our species is changing the nature of its existence: By our will, beliefs and opinions, we are changing our existence radically and explosively.


6714
Time, space and all things finite are postulates of our species ... and we are gene-programmed to accept them as realities. They nave been accepted into our species gene-programmes because they have helped us to survive and grow, as a species. Now that our species is at risk physically, these programmes are being re-examined and reviewed.


6715
Creation is a transfinite quality.


6716
It cannot be said of the universe that it was created 15 billion years ago. The transfinite quality of creation is past, present, future ... all in one. The entire universe is being created now, as in the past and as in the future.


6717
This propositional network gives one a read-out on the status of transfinite creation.


6718
The degree of empathy of the predictor (into the nature of creation) becomes the degree of the predictor's participation in transfinite creation.


6719
First, the prediction scientist is a watcher and recorder and, as he operates in these ways, he gradually empathises into the process of creation and increasingly participates actively in that process. Imperceptibly, the watcher is drawn into the creative process and becomes one with it.


6720
The science of prediction is the science of creation.


6721
He, who predicts successfully, becomes one with the creation of what he predicts, and one with what he predicts.


6722
We have created this universe, of ourselves. If we were not aware, we could not create this universe: Above all else, we are aware. Our awareness does not depend on anything external to ourselves: There is nothing external to ourselves. Ovr awareness does not depend on what we perceive as environment or time or space. Our awareness is of the essence of our being: It is not of our physical body, but of our infinite and eternal being. Our awareness is incontrovertible proof that we are eternal beings ... and this is a comfort to us all.


6723
The greater one's awareness, the greater the transfinity of one's awareness. The greater one's awareness, the greater one's creative power. The greater one's creative power, the greater the transfinity of one's creative power.


6724
The greater one's transfinite awareness and creative power, the greater one's ability to influence or change events. Transfinite creative acts take effect over the entire time-space continuum: They take effect at the singularity-chaos threshold. Such transfinite creative acts are perceived as unexpected, remarkable and unaccountable episodes ... and they are classed as miracles.


6725
The essentials of miracle performance are:


6726
Transfinite creation seems not a big thing but a small thing ... 'faith as a grain of mustard seed'. Think not how big a thing you require to be done, but of what to be done and of faith to make it so.


6727
A consciously willed transfinite act of creation commands infinite means and power: It is an absolute imperative ... and yet, in the doing, it seems a small thing and an easy thing.


6728
Our species has created its way prehensively and has only recently discovered that it need no longer crawl but can run. It is the recognition of our transfinity which enables us to create miraculously.


6729
Existence is a paradox: Existence is everything and nothing: While it is all expressions and forms, it is also singularity. A classic case of paradox is the miracle ... for, although it can't happen, it does happen. The raison d'6tre of paradox is the absoluteness of our species: Our species has no constraints, except those which it imposes upon itself.


6730
Those, who believe themselves to be governed and constrained are, by their belief, governed and constrained. Those, who realise their transfinite sovereign power, know that they can create without constraint.


6731
The singularity-chaos threshold is extremely sensitive to any transfinite influences: It is in this milieu that thaumaturgy operates.


6732
Prediction science now advances from the projection of past to future, to the creation of past, present and future.


6733
Life develops and flourishes at the transfinite singularity-chaos interface. Our species developed at the transfinite interface and it is now at the transfinite interface: The transfinite interface is the natural milieu of our species: Life is essentially transfinite.


6734
It has been said that evolution is chaos with feedback, but it should be added that the feedback also operates teleologically: It is the teleological feedback which 'loads the dice', so to say. As a transfinite species, past present and future all bear upon our evolution.


6735
As existence is essentially transfinite, it should not surprise us that evolution is strongly teleological.


6736
We are a self-generated species, of singularity.


6737
Fractal pictures are the product of our own minds, and they are not characteristics of some universe independent of our species. We geometrise: As to our expressions, we are a geometric species.


6738
Many mathematical formulae have corresponding geometrical images, which may be displayed with computer graphics. As many of these images have aesthetic value, mathematical graphics may be perceived as an art form.


6739
Conflict and turbulence induce a wider range of alternative patterns of action.


6740
Mathematical formulae, when progressively scaled geometrically, develop different patterns. This indicates that each formula is capable of different geometrical interpretations or that scaling introduces a further dimension which was not included in the terms of the formula. Existence is multi-dimensional and we should expect interpretation to differ dimensionally.


6741
Chaos science invites the speculation that fractal scaling, branching, folding, sinuosity, patterns of turbulence etc are evolutionary characteristics which our species has imposed upon (or developed from) the randomicity of chaos.


6742
The fractal analyses and reconstructions, of chaos science, indicate that all line phenomena originate from the randomicity of chaos, by Cantor-set progression. The philosophical implications of this are important.


6743
The randomicity of chaos is that of random energy. Energy does not, of itself, grow by adding middle thirds, to and of itself. By the laws of thermodynamics, energy tends to randomise and it is conserved. It loses usefulness, entropically, but it shows no tendency to multiply itself or grow. How then do the lines of nature come about? Line and shape are life phenomena: They are functions of the living species. An implication is that all lines and shapes are of the living species ... that is, all existence is one integral/integrated living species. Our species and its whole environment are one living species.


6744
The creative intelligence now realises that its powers and operations are not constrained by materiality or physicality: It realises that it is transfinite and that it creates transfinitely. It is starting to realise that it can create whatever it wants to create.


6745
Evolution is the influenced action of chaos. When we discover how to consciously influence chaos, thaumaturgy will become a science and an art.


6746
The creative intelligence may achieve thaumaturgical capability by influencing action, transfinitely, at the singularity-chaos interface.


6747
Will, faith, belief and creativity are absolute qualities ... and each one of us is an absolute being. Each one of us is able to tap into absolute will, faith, belief and creativity. Like Christ, we can do it: He showed the way and we also can create what we want ... miracles are on!


6748
A formula is in macroscopic mode and, when developed fractally and geometrically, its microscopic modality is revealed. Expression is essentially geometrical.


6749
Our species gestalts the random energy of our environment into wholes which are recognisable and survivally useful.


6750
By progressive gestalt construction (and positive fractal scaling), from random energy, our species has created its physical universe, according to survivalist and evolutionary needs.


6751
The process of physical evolution, from chaos, may be understood as construction from Cantor dust. Instead of deconstructing a line by progressive removal of the middle third, one reconstructs from dust to line, by progressive addition of the middle third.


6752
Our species has created its own physical universe by gestaltic, positive Cantor-set construction (from random energy derived from singularity). Our species is a self-generated species of singularity.


6753
Gestaltic perception involves seeing what appears to the seer, rather than a pre-seen actuality.


6754
The evolution of our species (and its environment) is a process of self-creation, by progressive gestaltic perception, from the randomicity of chaos.


6755
Evolutionary perception is Cantor middle-third reduction (to 'dust') in reverse. Our species has pieced together chaos 'dust', by progressive gestalt: We are a self-generated species of chaos. (Note: For further insight, readers are referred to the fractal analysis of chaos science, and to the gestalt perception of psychology).


6756
Chaos science is a pot-pourri of mathematics, experimental physics, computer simulations and computer graphics. Some of the work deals with problems of physics, such as natural interference and turbulence ... while some of the work explores the computer graphics of scaled formulae. The general focus of chaos science, however, is the exploration of the perceived regularities and irregularities of chaos (randomicity) and of the general nature of chaos. Importantly, chaos science is recognised as a way of thinking, a methodology, which is being successfully adopted by the sciences generally.


6757
As a species, we progress primarily by the prehensive and intuitive aspects of our intelligence. Fractal-scale searching is a kind of prehensive searching. We cannot expand our knowledge by logic: The processes of logic do not add to the content of knowledge.


6758
The power of self-similarity is the power of the whole ... that is, the power of the existence-integral.


6759
Turbulence is the intermediate phase between order and disorder. The processes of turbulence are accompanied by transfers of energy from states of order to states of disorder.


6760
Einstein, and others, have indicated that theoretical scientists conduct experiments with their minds. Good thinkers are, at once, good scientists and good philosophers ... but, let us not categorise them, except to say that they are thinkers: Thinkers are the creators of our new universes.


6761
As the power/intensity of thought increases beyond a critical point, a phase transition takes place whereby thought moves freely between thinkers and viewpoints and paradigms: It becomes superthought.


6762
When an order pattern has proved successful evolutionarily, it remains in species-programmes as an attractor: There is a sensitive dependence on initial conditions.


6763
Geometrics are more representative of physical phenomena than numerics. The developments of chaos science relate more to dynamic geometry than to dynamic numerics.


6764
A series of differential equations can start a series of dynamic geometrics, but then the dynamic geometrics seem to develop on their own ... they leave the initial equations in their wake, so to speak, and proceed with a life of their own.


6765
Most processes of analysis are destructive and dispersive of the energy content of that which is analysed ... and, thus, cannot succeed in the understanding of the whole. It is noteworthy that the analytical processes of chaos science are constructive and manipulative, rather than destructively dissective ... and they may better succeed in the understanding of the whole.


6766
There can be no improvement, change or progress in an ordered system without the introduction of disorder. Disorder is the means of change ... that is, it is the agent of change. Teleologically, an ideal state of order uses disorder to change systems towards their ideal state ... and thus disorder may also be perceived as the agent of order.


6767
A state of order is a still or snapshot ... something to admire and ponder on, maybe ... but life is more like an all-sensed movie ... so let's get on with it! We tend to be preoccupied with keeping order unchanged. Order is essentially dynamic, and our species is essentially dynamic. We may be assured that order will change: There will always be order, but it will be different order.


6768
Non-linearity can stabilise as well as de-stabilise.


6769
We tend to preoccupy ourselves with stability, as a sort of comfortable equilibrium. Such is needful for rest and recuperation and child-bearing: It is a kind of nest environment or gestative interlude. Such a state, as we find needful, is a creation of our species: It is not a prior state but one of our own making.


6770
In the way that new genes strengthen equine thoroughbred stock, non-linear feedback strengthens and invigorates any order-system. Conflict and the unexpected are non-linear analogues which strengthen and invigorate the species.


6771
Biological systems sometimes use non-linearity defensively ... for instance, as a buffer zone.


6772
A sculptor is very much aware of shape and, often, a piece of wood or marble will direct the chisel and create its own shape ... and shapes seem like living things. Sculptors share this experience with chaos scientists ... this experience of autonomous living shapes ... of fetishes.


6773
Luck and coincidence ... are these attractors?


6774
What is the language of the dynamic geometry of chaos science?, and what are its terms?: Here are some ... Branching; folding; sinuosity; stretching; squeezing; vortices; pairings; middle-third scaling; perturbations; curving; flowing; self-similarity; and attractors.


6775
Progressive, fractal, triangular, middle-third scaling (of the Koch curve type) usefully simulates much environmental development.


6776
All observations of nature (whether couched in numerical, geometric, or any other terms) are relative to both object and observer.


6777
As a coastline is progressively scaled to greater detail, its measured length rises without limit.


6778
Changes, in natural phenomena, seem to occur at arbitrary speed/suddenness.


6779
Chaos scientists have discovered that scaling is a surprisingly effective investigative tool. Scaling seems to impart energy and life to patterns of dynamic geometry.


6780
What is 'equilibrium'?: The only equilibrium is singularity. As a theoretical concept, 'equilibrium' is of doubtful value. A complex array of dynamic vectors can only attain equilibrium at singularity ... and, of course, life and the universe are complex arrays of dynamic vectors.


6781
We need not always shun complexity, for great simplicity is born of great complexity.


6782
Many great creative scientists have advised us to look for odd, unusual and unexplained phenomena: This is what chaos scientists do.


6783
Via chaos science, pure mathematicians gain an open-door welcome to all the applied sciences.


6784
The dynamic geometry of chaos science is primarily negentropic ... that is, cohesive and orderly. It is entropic as to change but it always exchanges order for order.


6785
The usefulness of any order system is entropically dissipative ... but usefulness flows from one system to another: The quality of usefulness is absolute and unabated.


6786
The methodologies of chaos science are ideally suited to computer simulations and to computer graphics.


6787
The geometrical patterns of chaos science not only give us insights into our evolutionary past but also into our future.


6788
Statistical irregularities, or unexplained episodic occurrences, are now seen not only as evidence of the incompleteness of our knowledge, but also as an opportunity to advance our knowledge. By irregularities, unrecognised factors shout ... 'hey, what about us!?' Finally, we are taking notice of them, thanks to chaos science.


6789
As, from the viewpoints of this network, it is pointless to try to separate chaos science from philosophy, no attempt will be made to do so.


6790
Chaos is enormously sensitive and reactive to any aspect of order. Order and cohesion predominate over chaos.


6791
As order predominates over chaos, entropy subserves order.


6792
Each system tends, by entropy, to disorder. Why is this?, for order predominates over disorder. Entropy enables order to express in different forms.


6793
Any seeming increase of disorder is accompanied by unperceived increases of order.


6794
Each order-system has the constraints of its initial programming.


6795
Entropy imposes a time-limit on every order-system, but not on participating attractors. Chaos attractors are powerfully negentropic: They are a kind of seed stock.


6796
In its early evolution, life coheres energy into clusters of particles ... and then it grows by Cantor-set type addition of middle-thirds ... and, that which grows, takes energy for its growth from the primaeval pool of energy (chaos) ... that is to say, from its environment. It is essential to living species that they absorb energy from their environment.


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The deterministic patterns of chaos are nascent order paths by which evolution has proceeded to its present stage.


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The way chaos science looks at our evolutionary past is analogous to the way astronomical science looks at the past of the physical universe.


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Mind is a transfinite life-form, which grows on the energy-broth of chaos. Its early forms subserve its later needs: Its future acts as an attractor to all its pasts and presents.


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