Innumerable Worlds

"I hold the universe to be infinite as result of the infinite divine power; for I think it unworthy of divine goodness and power to have produced merely one finite world when it was able to bring into being an infinity of worlds. Wherefore I have expounded that there is an endless number of individual worlds like our earth. I regard it, with Pythagoras, as a star, and the moon, the planets and the stars are similar to it, the latter being of endless number. All these bodies make an infinity of worlds; they constitute the infinite whole in infinite space, an infinite universe, that is to say, containing innumerable worlds. So that there is an infinite measure in the universe and an infinite multitude of worlds.

Within this universe I place a universal Providence, whereby everything lives, grows, acts and abides in its perfection. And I understand this in a two-fold way: one, after the fashion of the spirit which is completely present in the whole body and in every part thereof. This I call Nature, the shadow and record of the Divine. The other manner is the inconceivable way in which God, an essence, presence and power, is in all and above all, not as part, not as spirit, but unspeakably."

- Giordano Bruno (1548 - 1600)
Testimony before the Venetian Inquisition in1592, Translated and quoted in
Giordano Bruno: His Life, Thought, and Martyrdom (William Boulting, 1914)

Unity in Multiplicity

"If we want to know what the mathematicians mean by a continuum, it is useless to appeal to geometry. The geometer is always seeking, more or less, to represent to himself the figures he is studying, but his representations are only instruments to him; he uses space in his geometry just as he uses chalk; and further, too much importance must not be attached to accidents which are often nothing more than the whiteness of the chalk. [...] The continuum thus conceived is no longer a collection of individuals arranged in a certain order, infinite in number, it is true, but external the one to the other. This is not the ordinary conception in which it is supposed that between the elements of the continuum exists an intimate connection making of it one whole, in which the point has no existence previous to the line, but the line does exist previous to the point. Multiplicity alone subsists, unity has disappeared—‘the continuum is unity in multiplicity,’ according to the celebrated formula. [...] Mathematicians do not study objects, but the relations between objects; to them it is a matter of indifference if these objects are replaced by others, provided that the relations do not change. Matter does not engage their attention, they are interested by form alone."

- Henri Poincare (1854 - 1912)

Living Pattern

"Thou art confused, my beloved, at seeing the thousandfold union

Shown in this flowery troop over the garden dispersed;

Many a name dost thou hear assigned; one after another

Falls on thy listening ear, with a barbarian sound.

None resembleth another, yet all their forms have a likeness;

Therefore a mystical law is by the chorus proclaimed;

Yes, a sacred enigma! Oh, dearest friend, could I only

Happily teach thee the word, which may the mystery solve!

Closely observe how the plant, by little and little progressing,

Step by step guided on, changeth to blossom and fruit!

...

Here doth Nature close the ring of her forces eternal;

Yet doth a new one, at once, cling to the one gone before,

So that the chain be prolonged for ever through all generations,

And that the whole may have life, e’en as enjoyed by each part.

Now, my beloved one, turn thy gaze on the many-hued thousands

Which, confusing no more, gladden the mind as they wave.

Every plant unto thee proclaimeth the laws everlasting.

Every floweret speaks louder and louder to thee;

But if thou here canst decipher the mystic words of the goddess,

Everywhere will they be seen, e’en though the features are changed."

- Johann Wolfgang von Goethe (1749 - 1832)
 The Metamorphosis of Plants

Pathless Way

"The Way is perfect like vast space
where nothing is lacking and nothing is in excess.
Indeed, it is due to our choosing to accept or reject
that we do not see the true nature of things.
Live neither in the entanglements of outer things,
nor in inner feelings of emptiness.
Be serene in the oneness of things
and such erroneous views will disappear by themselves.

When you try to stop activity to achieve passivity

your very effort fills you with activity.

As long as you remain in one extreme or the other,

you will never know Oneness.

Those who do not live in the single Way

fail in both activity and passivity,

assertion and denial.

To deny the reality of things is to miss their reality;

to assert the emptiness of things
is to miss their reality."

- Sengcan (496? - 606)
Xinxin Ming

Spirit-Matter

"Matter is spirit moving slowly enough to be seen.

...

In a concrete sense there is not matter and spirit. All that exists is matter becoming spirit. There is neither spirit nor matter in the world; the stuff of the universe is spirit-matter. No other substance but this could produce the human molecule. I know very well that this idea of spirit-matter is regarded as a hybrid monster, a verbal exorcism of a duality which remains unresolved in its terms. But I remain convinced that the objections made to it arise from the mere fact that few people can make up their minds to abandon an old point of view and take the risk of a new idea. [...] Life represents the goal of a transformation of great breadth, in the course of which what we call ‘matter’ turns about, furls in on itself, interiorizes the operation covering, so far as we are concerned, the whole history of the earth. The phenomenon of spirit is not therefore a sort of brief flash in the night; it reveals a gradual and systematic passage from the unconscious to the conscious, and from the conscious to the self‑conscious. It is a cosmic change of state."

- Teilhard De Chardin (1881- 1955)

Broken Symmetry

"The state of a really big system does not at all have to have the symmetry of the laws which govern it; in fact, it usually has less symmetry. [...] In my own field of many-body physics, we are, perhaps, closer to our fundamental, intensive underpinnings than in any other science in which non-trivial complexities occur, and as a result we have begun to formulate a general theory of just how this shift from quantitative to qualitative differentiation takes place. This formulation called the theory of 'broken symmetry' may be of help in making more generally clear the breakdown of the constructive converse of reductionism."

- Philip W. Anderson (1923 - 2020)

Principial Unity

"All that exists, in whatever mode this may be, necessarily participates in universal principles, and nothing exists except by participation in these principles, which are the eternal and immutable essences contained in the permanent actuality of the Divine Intellect. Consequently, it can be said that all things, however contingent they may be in themselves, express or represent these principles in their own way and according to their order of existence, for otherwise they would be purely and simply nothingness. Thus, from one order to another, all things are linked together and correspond, to come together in total and universal harmony, for harmony is nothing other than the reflection of principial unity in the manifested world."

- René Guénon (1886 - 1951)

Illusory Categories

"The further we penetrate into the submicroscopic world, the more we shall realize how the modern physicist, like the Eastern mystic, has come to see the world as a system of inseparable, interacting and ever‑moving components with man being an integral part of this system.

...

Quantum theory thus reveals a basic oneness of the universe. It shows that we cannot decompose the world into independently existing smallest units. As we penetrate into matter, nature does not show us any isolated ‘basic building blocks,’ but rather appears as a complicated web of relations between the various parts of the whole. These relations always include the observer in an essential way.

...

Our tendency to divide the perceived world into individual and separate things and to experience ourselves as isolated egos in this world is seen as an illusion which comes from our measuring and categorizing mentality. [...] all things and events perceived by the senses are interrelated, connected, and are but different aspects or manifestations of the same ultimate reality."

- Fritjof Capra (1939 - )
The Tao of Physics

Crumpled Manifolds

"The whole process of applying this complex geometric transformation to the input data can be visualized in 3D by imagining a person trying to uncrumple a paper ball: the crumpled paper ball is the manifold of the input data that the model starts with. Each movement operated by the person on the paper ball is similar to a simple geometric transformation operated by one layer. The full uncrumpling gesture sequence is the complex transformation of the entire model. Deep learning models are mathematical machines for uncrumpling complicated manifolds of high-dimensional data. [...] Our own understanding of images, sounds, and language, is grounded in our sensorimotor experience as humans -as embodied earthly creatures. Machine learning models have no access to such experiences and thus cannot 'understand' their inputs in any human-relatable way [...] this mapping is just a simplistic sketch of the original model in our minds, the one developed from our experience as embodied agents—it is like a dim image in a mirror."

- François Chollet (1989 - )

Overlapping Wholes

"The principal features of a complex configuration are always created by overlap. Although this ... overlap may seem trivial [...] you will see that this kind of overlap, and ambiguity, is essential and pervasive. [...] This is the glue in any system of wholes. Wholeness itself is directly created by this apparent overlap, or ambiguity. The greater the number of overlapping wholes, the more tightly bound the configuration is, and the more deeply the wholeness of the object shows itself to be.

- Christopher Alexander (1936 - 2022)

Seed Unfolding

"The One, perfect in seeking nothing, possessing nothing and needing nothing, overflows and creates a new reality by its superabundance. [...] The process is like the unfolding of a seed, moving from simple origin to termination in the world of sense, the prior always remaining in its place, while begetting its successor from a store of indescribable power - power that must not halt within the higher realm [...] but continue to expand until the universe of things reaches the limit of its possibility, lavishing its vast resources on all its creatures, intolerant that any one should have no share in it. Nothing is debarred from participation in the Good, to the extent of its receptivity. "

- Plotinus (c. 204/5 – 270 CE)
The Enneads

Fleeting Vortices

"[Physicists and naturalists cannot] look down from a great height upon a world which their consciousness could penetrate without being submitted to it or changing it. [...] a more complete study of the movements of the world will oblige us ... to discover that if things hold and hold together, it is only by reason of complexity, from above.

...

Hence we find our minds instinctively tending to represent energy as a kind of homogeneous, primordial flux in which all that has shape in the world is but a series of fleeting 'vortices'. [...] each new being has and must have a cosmic embryogenesis ...

...

Science, philosophy and religion are bound to converge ...
but without merging, and without ceasing, to the very end,
to assail the real from different angles
and on different planes."

- Teilhard De Chardin (1881- 1955)
The Phenomenon of Man

More is Diferent

"At each level of complexity entirely new properties appear, and the understanding of the new behaviors requires research which I think is as fundamental in its nature as any other. That is, it seems to me that one may array the sciences roughly linearly in a hierarchy, according to the idea: The elementary entities of science X obey the laws of science Y. But this does not at all imply that science X is 'just' science Y. At each stage entirely new laws, concepts, and generalizations are necessary, requiring inspiration and creativity to just as great a degree as in the previous one."

- Philip W. Anderson (1923 - 2020)
More is Different

Plural Monism

"Monism allows for no such things as 'other occasions' in reality—in real or absolute reality, that is. The difference I try to describe amounts, you see, to nothing more than the difference between what I formerly called the each−form and the all−form of reality. Pluralism lets things really exist in the each−form or distributively. Monism thinks that the all−form or collective−unit form is the only form that is rational. The all−form allows of no taking up and dropping of connexions, for in the all the parts are essentially and eternally co−implicated. In the each−form, on the contrary, a thing may be connected by intermediary things, with a thing with which it has no immediate or essential connexion. It is thus at all times in many possible connexions which are not necessarily actualized at the moment.

...

Here, then, you have the plain alternative, and the full mystery of the difference between pluralism and monism, as clearly as I can set it forth on this occasion. It packs up into a nutshell:—Is the manyness in oneness that indubitably characterizes the world we inhabit, a property only of the absolute whole of things, so that you must postulate that one−enormous−whole indivisibly as the prius of there being any many at all—in other words, start with the rationalistic block−universe, entire, unmitigated, and complete?—or can the finite elements have their own aboriginal forms of manyness in oneness, and where they have no immediate oneness still be continued into one another by intermediary terms—each one of these terms being one with its next neighbors, and yet the total 'oneness' never getting absolutely complete?

...

Whatever I may say, each of you will be sure to take pluralism or leave it, just as your own sense of rationality moves and inclines. The only thing I emphatically insist upon is that it is a fully co−ordinate hypothesis with monism. This world may, in the last resort, be a block−universe; but on the other hand it may be a universe only strung−along, not rounded in and closed. Reality may exist distributively just as it sensibly seems to, after all. On that possibility I do insist."

- William James (1842 - 1910)
A Pluralistic Universe

Unfolding Forms

"The essential order of movement is not that of an object translating itself from one place to another, but rather, it is a folding and unfolding, in which the object is continually being created again, in a form generally similar to what it was, though different in detail. The explicate order of movement of the object is thus not independent, substantial, and self-existent. We suggest instead that it is an appearance, abstracted from the implicate order, on which it depends and from which it derives its whole form and set of characteristic relationships.

...

What all this means is that the flux of the holomovement is the implicate source of all forms, both physical and mental. That is to say, the whole of existence, including inanimate matter, living organisms, and ‘mind,’ arises in a single ground, in which these are all enfolded, or contained implicitly. 

...

It is clear that, in this view, living organisms are to be regarded as particular manifestations of what is ultimately enfolded in the inward depths of the holomovement. We are suggesting here that a living organism has a more direct contact with what is thus enfolded in the holomovement than does inanimate matter. [...] One can appropriately call the holomovement the life energy, which is the ground that ultimately creates and sustains all matter and all mind, as two relatively autonomous and independent streams that may move in parallel."

 - David Bohm (1917 - 1992)
The Implicate or Enfolded Order
Quoted from Chapter 1 in Mind in Nature: the Interface of Science and Philosophy

Forces Eternal

 "Here doth Nature close the ring of her forces eternal;
Yet doth a new one, at once, cling to the one gone before,
So that the chain be prolonged for ever through all generations,

And that the whole may have life, e'en as enjoyed by each part.
Now, my beloved one, turn thy gaze on the many-hued thousands
Which, confusing no more, gladden the mind as they wave.
Every plant unto thee proclaimeth the laws everlasting.
Every floweret speaks louder and louder to thee."

- Johann Wolfgang von Goethe (1749 - 1832)
 The Metamorphosis of Plants

Cosmic Soul

"I perceived that I was on a little round grain of rock and metal, filmed with water and with air, whirling in sunlight and darkness. And on the skin of that little grain all the swarms of men, generation by generation, had lived in labor and blindness, with intermittent joy and intermittent lucidity of spirit. And all their history, with its folk-wanderings, its empires, its philosophies, its proud sciences, its social revolutions, its increasing hunger for community, was but a flicker in one day of the lives of the stars.

...

It did not seem impossible that man himself was the germ of the world-soul, which, we still hope, is destined to awake for a while before the universal decline, and to crown the eternal cosmos with its due of knowledge and admiration, fleeting yet eternal. [...] It is even conceivable that every creative advance that any mind has ever made involves unwitting co-operation with the cosmic mind which, perhaps, will awake at some date before the End.

...

The cosmos exploded, actualizing its potentiality of space and time. The centers of power, like fragments of a bursting bomb, were hurled apart. But each one retained in itself, as a memory and a longing, the single spirit of the whole; and each mirrored in itself aspects of all the others throughout all the cosmical space and time."

- Olaf Stapledon (1886 - 1950)
Last and First Men and Star Maker

There is a Cause

"To return to the difficulty which has been stated with respect both to definitions and to numbers, what is the cause of their unity? In the case of all things which have several parts and in which the totality is not, as it were, a mere heap, but the whole is something beside the parts, there is a cause."

 - Aristotle (384–322 BC)

One Seen as Many

"Being the one, the universal Soul is present in all beings. Though one, It is seen as many, like the moon in the water ... Just as it is the jar which being removed (from one place to another) changes places and not the Akasha ['fifth element' or ether] enclosed in the jar – so is the Jiva [individual, embodied soul] which resembles the Akasha ...When various forms like the jar are broken again and again the Akasha does not know them to be broken, but He knows perfectly. Being covered by Maya [cosmic illusion that veils the true nature of reality], which is a mere sound, It does not, through darkness, know the Akasha (the Blissful one). When ignorance is rent asunder, It being then Itself only sees the unity."

- Amritabindu Upanishad (100 BCE to 300 CE)

Nature Gazing Upon Itself

"Thus, when we look out at the world,
we are nature gazing upon itself."

- Philip Toshio Sudo (1959 - 2002)
Zen 24/7: All Zen, All the Time