The Intuitive Mind

"The difference between the mathematical and the intuitive mind.—In the one the principles are palpable, but removed from ordinary use; so that for want of habit it is difficult to turn one's mind in that direction: but if one turns it thither ever so little, one sees the principles fully, and one must have a quite inaccurate mind who reasons wrongly from principles so plain that it is almost impossible they should escape notice ... But in the intuitive mind the principles are found in common use, and are before the eyes of everybody. One has only to look, and no effort is necessary; it is only a question of good eyesight, but it must be good, for the principles are so subtle and so numerous, that it is almost impossible but that some escape notice.

...

All mathematicians would then be intuitive if they had clear sight, for they do not reason incorrectly from principles known to them; and intuitive minds would be mathematical if they could turn their eyes to the principles of mathematics to which they are unused. The reason, therefore, that some intuitive minds are not mathematical is that they cannot at all turn their attention to the principles of mathematics. But the reason that mathematicians are not intuitive is that they do not see what is before them, and that, accustomed to the exact and plain principles of mathematics, and not reasoning till they have well inspected and arranged their principles, they are lost in matters of intuition where the principles do not allow of such arrangement. 

...

They are scarcely seen; they are felt rather than seen; there is the greatest difficulty in making them felt by those who do not of themselves perceive them. These principles are so fine and so numerous that a very delicate and very clear sense is needed to perceive them, and to judge rightly and justly when they are perceived, without for the most part being able to demonstrate them in order as in mathematics; because the principles are not known to us in the same way, and because it would be an endless matter to undertake it. We must see the matter at once, at one glance, and not by a process of reasoning."

.- Blaise Pascal (1623 - 1662)

Sand Dunes in the Desert

"Every ripple on the ocean,
every leaf on every tree,
every sand dune in the desert,
every power we never see."

- Sting (1951 - )

"Our Intellect Ingulphs Itself so Far"

"The glory of Him who moveth everything
  Doth penetrate the universe, and shine
  In one part more and in another less.
...
Within that heaven which most his light receives
  Was I, and things beheld which to repeat
  Nor knows, nor can, who from above descends;
...
Because in drawing near to its desire
Our intellect ingulphs itself so far,
That after it the memory cannot go."

- Dante Alighieri (1265 - 1321)
Divine Comedy / Paradiso
Translation above by Henry Wadsworth Longfellow

Self-Organized Criticality

"Who could ever calculate the path of a molecule?
How do we know that the creations of worlds are
not determined by falling grains of sand?"

- Victor Hugo (1802 - 1885), Les Miserables 

"How can the universe start with a few types of elementary particles at the big bang, and end up with life, history, economics, and literature? The question is screaming out to be answered bur it is seldom even asked. Why did the big bang not form a simple gas of particles, or condense into one big crystal? We see complex phenomena around us so often that we rake them for granted without looking for further explanation. In fact, until recently very little scientific effort was devoted to understanding why nature is complex.

I will argue that complex behavior in nature reflects the tendency of large systems with many components to evolve into a poised, "critical" state, way out of balance, where minor disturbances may lead to events, called avalanches, of all sizes. Most of the changes take place through catastrophic events rather than by following a smooth gradual path. The evolution to this very delicate state occurs without design from any outside agent. The state is established solely because of the dynamical interactions among individual elements of the system: the critical state is self-organized. Self-organized criticality is so far the only known general mechanism to generate complexity. 

To make this less abstract, consider the scenario of a child at the beach letting sand trickle down to form a pile. In the beginning, the pile is flat, and the individual grains remain close to where they land. Their motion can be understood in terms of their physical properties. As the process continues, the pile becomes steeper, and there will be little sand slides. As time goes on, the sand slides become bigger and bigger. Eventually, some of the sand slides may even span all or most of the pile. At that point, the system is far out of balance, and its behavior can no longer be understood in terms of the behavior of the individual grains. The avalanches form a dynamic of their own, which can be understood only from a holistic description of the properties of the entire pile rather than from a reductionist description of individual grains: the sandpile is a complex system.

The complex phenomena observed everywhere indicate that nature operates at the self-organized critical state. The behavior of the critical sandpile mimics several phenomena observed across many sciences, which are associated with complexity."

- Per Bak (1948 - 2002)
How Nature Works

There is Light

 "Wherever there is light, one can photograph.
...
I have a vision of life, and I
try to find equivalents for it in
the form of photographs.
...
In photography there is a reality so subtle
that it becomes more real than reality."

- Alfred Stieglitz (1864 - 1946)

White Hole

"Unless something goes in or out of the horizon,
from the outside a white hole is
indistinguishable from a black hole.
...
The black horizon, like Gandalf,
has magically turned white.
...
Despite the complete difference between
what happens inside them, time’s
sleight of hand on the horizons allows a
white hole and a black hole to be
the same thing outside.
...
A white hole is a black hole with time reversed.
...
...finite are the lives of us all, of
every living organism, every star,
every galaxy, of all stories,
in this universe of joy and pain.
Not even white holes last forever."

- Carlo Rovelli (1956 - )
White Holes: Inside the Horizon

A State of Information

"There are objects: cinnamon, microwaves, interstellar particles and scarecrows. There is nothing underneath objects. Or, better, there is not even nothing underneath them. There is no such thing as space independent of objects (happily contemporary physics agrees). What is called Universe is a large object that contains objects such as black holes and racing pigeons. Likewise there is no such thing as an environment: wherever we look for it, we find all kinds of objects—biomes, ecosystems, hedges, gutters and human flesh. In a similar sense, there is no such thing as Nature. I’ve seen penguins, plutonium, pollution and pollen. But I’ve never seen Nature (I capitalize the word to reinforce a sense of its deceptive artificiality).

...

Likewise, there is no such thing as matter. I’ve seen plenty of entities (this book shall call them objects): photographs of diffusion cloud chamber scatterings, drawings of wave packets, iron filings spreading out around a magnet. But I’ve never seen matter. So when Mr. Spock claims to have found 'Matter without form,' he is sadly mistaken... You can now buy a backpack that is made of recycled plastic bottles. But an object doesn’t consist of some gooey substrate of becoming that shifts like Proteus from plastic bottle to backpack. First there is the plastic bottle, then the production of the bag ends the bottle, its being is now only an appearance, a memory of the backpack, a thought: “This bag is made of plastic bottles... Nature [...] is 'discovered in the use of useful things.'

...

Matter, in current physics, is simply a state of information. Precisely: information is necessarily information-for (for some addressee). Matter requires at least one other entity in order to be itself... Instead of using matter as my basic substrate, I shall paint a picture of the Universe that is realist but not materialist. In my view, real objects exist inside other real objects. 'Space' and 'environment' are ways in which objects sensually relate to the other objects in their vicinity, including the larger objects in which they find themselves... There is no space or environment as such, only objects... The existence of an object is irreducibly a matter of coexistence. Objects contain other objects, and are contained 'in' other objects... What are these objects, then, that claustrophobically fill every nook and cranny of reality, that are reality, like the leering faces in an Expressionist painting, crammed into the picture plane? On what basis can we decide that there is no top, middle, or bottom object, that objects are bigger on the inside than they are on the outside, that they generate time and space, and so on?"

Timothy Morton (1968 - )
Realist Magic: Objects, Ontology, Causality

Cosmic Trickster

"To explode or to implode - said Qwfwq - that is the question: whether 'tis nobler in the mind to expand one's energies in space without restraint, or to crush them into a dense inner concentration and, by ingesting, cherish them. To steal away, to vanish; no more; to hold within oneself every gleam, every ray, deny oneself every vent, suffocating in the depths of the soul the conflicts that so idly trouble it, give them their quietus; to hide oneself, to obliterate oneself; perchance to awaken elsewhere, unchanged."

- Italo Calvino (1923 - 1985)

Sacred Contract

"Our individual souls hum actively within a kind of global soul comprising all life on the planet. Our words, thoughts, deeds, and visions influence our individual health just as they affect the health of everyone around us. As a vital part of a larger, universal spirit, we each have been put here on earth to fulfill a Sacred Contract that enhances our personal spiritual growth while contributing to the evolution of the entire global soul."

- Caroline Myss (1952 - )
Sacred Contracts

Inward Gathering

"Nature looks dead in winter because
her life is gathered into her heart.
She withers the plant down to the root that
she may grow it up again fairer and stronger.
She calls her family together within her
inmost home to prepare them for being
scattered abroad upon the
face of the earth."

- Hugh Macmillan (1833 - 1903)
The Ministry of Nature