Inner Sound

“Form itself, even if completely abstract ...

has its own inner sound.”

- Wassily Kandinsky (1866 - 1944)

“This idea that there is generality in the

specific is of far-reaching importance.”

- Douglas R. Hofstadter (1945 - )

Gödel, Escher, Bach: An Eternal Golden Braid

“A map is not the territory it represents, but,
if correct, it has a similar structure to the territory,
which accounts for its usefulness.”

- Alfred Korzybski (1879 - 1950)
Science and Sanity

Like Lichen on Rock

"Say you could view a time lapse film of our planet: what would you see? Transparent images moving through light, “an infinite storm of beauty.

The beginning is swaddled in mists, blasted by random blinding flashes. Lava pours and cools; seas boil and flood. Clouds materialize and shift; now you can see the earth’s face through only random patches of clarity. The land shudders and splits, like pack ice rent by widening lead. Mountains burst up, jutting, and dull and soften before your eyes, clothed in forests like felt. The ice rolls up, grinding green land under water forever; the ice rolls back. Forests erupt and disappear like fairy rings. The ice rolls up- mountains are mowed into lakes, land rises wet from the sea like a surfacing whale- the ice rolls back.

A blue-green streaks the highest ridges, a yellow-green spreads from the south like a wave up a strand. A red dye seems to leak from the north down the ridges and into the valleys, seeping south; a white follows the red, then yellow-green washes north, then red spreads again, then white, over and over, making patterns of color too intricate to follow. Slow the film. You see dust storms, locusts, floods, in dizzying flash-frames.

Zero in on a well-watered shore and see smoke from fires drifting. Stone cities rise, spread, and crumble, like paths of alpine blossoms that flourish for a day an inch above the permafrost, that iced earth no root can suck, and wither in a hour. New cities appear, and rivers sift silt onto their rooftops; more cities emerge and spread in lobes like lichen on rock. The great human figures of history, those intricate, spirited tissues whose split second in the light was too brief an exposure to yield any image but the hunched shadowless figures of ghosts.

Slow it down more, come closer still.

A dot appears, a flesh-flake.
It swells like a balloon; it moves,
circles, slows, and vanishes.

This is your life."

- Annie Dillard (1945 - )
Pilgrim at Tinker Creek

Loosely Conjoined Cells of a Tissue

"A solitary ant, afield, cannot be considered to have much of anything on his mind; indeed, with only a few neurons strung together by fibers, he can’t be imagined to have a mind at all, much less a thought. He is more like a ganglion on legs. Four ants together, or ten, encircling a dead moth on a path, begin to look more like an idea. They fumble and shove, gradually moving the food toward the Hill, but as though by blind chance. It is only when you watch the dense mass of thousands of ants, crowded together around the Hill, blackening the ground, that you begin to see the whole beast, and now you observe it thinking, planning, calculating. It is an intelligence, a kind of live computer, with crawling bits for its wits.

...

Not all social animals are social with the same degree of commitment. In some species, the members are so tied to each other and interdependent as to seem the loosely conjoined cells of a tissue. The social insects are like this; they move, and live all their lives, in a mass; a beehive is a spherical animal. In other species, less compulsively social, the members make their homes together, pool resources, travel in packs or schools, and share the food, but any single one can survive solitary, detached from the rest. Others are social only in the sense of being more or less congenial, meeting from time to time in committees, using social gatherings as ad hoc occasions for feeding and breeding. Some animals simply nod at each other in passing, never reaching even a first-name relationship."

- Lewis Thomas (1913 - 1993)
The Lives of a Cell: Notes of a Biology Watcher

Listen When the Mind is Quiet

"I hope that you will listen, but not with the memory of what you already know; and this is very difficult to do. You listen to something, and your mind immediately reacts with its knowledge, its conclusions, its opinions, its past memories. It listens, inquiring for a future understanding.

Just observe yourself, how you are listening, and you will see that this is what is taking place. Either you are listening with a conclusion, with knowledge, with certain memories, experiences, or you want an answer, and you are impatient. You want to know what it is all about, what life is all about, the extraordinary complexity of life. You are not actually listening at all.

You can only listen when the mind is quiet, when the mind doesn't react immediately, when there is an interval between your reaction and what is being said. Then, in that interval there is a quietness, there is a silence in which alone there is a comprehension which is not intellectual understanding.

If there is a gap between what is said and your own reaction to what is said, in that interval, whether you prolong it indefinitely, for a long period or for a few seconds - in that interval, if you observe, there comes clarity. It is the interval that is the new brain. The immediate reaction is the old brain, and the old brain functions in its own traditional, accepted, reactionary, animalistic sense.

When there is an abeyance of that, when the reaction is suspended, when there is an interval, then you will find that the new brain acts, and it is only the new brain that can understand, not the old brain"

- Jiddu Krishnamurti (1895 - 1986)

Constructions in Space

"It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it."

- Bernhard Riemann (1826 - 1866)

Timeless Way of Building

"...towns and buildings will not be able to become alive, unless they are made by all the people in society, and unless these people share a com­mon pattern language, within which to make these buildings, and unless this common pattern language is alive itself. 

...

The elements of this language are entities called pat­terns. Each pattern describes a problem which occurs over and over again in our environment, and then describes the core of the solution to that problem, in such a way that you can use this solution a million times over, without ever doing it the same way twice.

...

No pattern is an isolated entity. Each pattern can exist in the world, only to the extent that is sup­ported by other patterns: the larger patterns in which it is embedded, the patterns of the same size that surround it, and the smaller patterns which are embedded in it. This is a fundamental view of the world. It says that when you build a thing you cannot merely build that thing in isolation, but must also repair the world around it, and within it, so that the larger world at that one place becomes more coherent, and more whole; and the thing which you make takes its place in the web of na­ture, as you make it.

...

The Timeless Way of Building says that every society which is alive and whole, will have its own unique and distinct pattern language; and further, that every in­dividual in such a society will have a unique language, shared in part, but which as a totality is unique to the mind of the person who has it. In this sense, in a healthy society there will be as many pattern languages as there are people-even though these languages are shared and similar.

...

Since the language is
in truth a network,

there is no one sequence
which perfectly captures it."

 

- Christopher Alexander (1936 - )
A Pattern Language

An Element of Absolute Chance

"We must...suppose an element of absolute chance, sporting, spontaneity, originality, freedom in nature. We must further suppose that this element in the ages of the past was indefinitely more prominent than now, and that the present almost exact conformity to law is something that has been gradually brought about... If the universe is thus progressing from a state of all but pure chance to a state of all but complete determination by law, we must suppose that there is an original elemental tendency of things to acquire determinate properties, to take habits. This is the third or mediating element between chance, which brings forth First and original events, and law which produces sequences or Seconds... This tendency must itself have been gradually evolved; and it would evidently tend to strengthen itself... Here then is a rational physical hypothesis, which is calculated to account, or all but account for everything in the universe except pure originality itself."

- Charles Saunders Peirce (1839 - 1914)
The Monist (1890-1893), quoted in Truth, Rationality, and
Pragmatism: Themes from Peirce by Christopher Hookway

Cognition

"Cognition and emotion cannot be separated. Cognitive thoughts lead to emotions: emotions drive cognitive thoughts. The brain is structured to act upon the world, and every action carries with it expectations, and these expectations drive emotions. That is why much of language is based on physical metaphors, why the body and its interaction with the environment are essential components of human thought. Emotion is highly underrated. In fact, the emotional system is a powerful information processing system that works in tandem with cognition. Cognition attempts to make sense of the world: emotion assigns value. It is the emotional system that determines whether a situation is safe or threatening, whether something that is happening is good or bad, desirable or not. Cognition provides understanding: emotion provides value judgments. A human without a working emotional system has difficulty making choices. A human without a cognitive system is dysfunctional."

- Donald A. Norman (1985 - )
The Design of Everyday Things

Postscript. The triptych consists of "iPhone snapshots" of staircases (OK, not quite head-on views of staircases) inside the office building I used to go before the pandemic hit. They were taken in 2017.

Focal Points

"...there seems to be at least two distinct forms of identity that consciousness can take on, both of which we recognize as the 'I.' The first, and the one usually experienced during ordinary states of consciousness, is the 'I' of the ego; the 'I' of the cognitive models constructed by the brain. The second is an 'I' that seems to be independent of the ego and of life in linear time; a transcendent 'I' that seems to exist entirely beyond time, space, and life itself, and whose identity is more profoundly recognized as the true 'I' than the relatively provincial and flattened notions of the ego. The implication of this is that a hypothetical, universal field of consciousness must somehow 'clot' into multiple, separate 'focal points' in a realm of reality beyond that of the physical brain. Each of these focal points must then correspond to a transcendent 'I' that is coupled, in awareness, to the electrochemical signals of an individual brain and its ego constructs."

- Bernardo Kastrup
Dreamed Up Reality

Postscript. As I alluded to a few blog posts ago, owing to this will-it-ever-end-pandemic, my photo-safari opportunities are - as for most of you - few-and-far-between. Thus, quality "photography time" nowadays amounts to either immersing myself in an unfathomably deep gorge of unprocessed raw files or looking to make this gorge even more unfathomably deep by saving an endless stream of impromptu "experiments" with light and form in my home studio (i.e.,  my day-job work desk after I clear it of my day-job notes and scribbles). The diptych above (as well as the one from yesterday) combines these two practices; i.e., they are "experiments in abstraction" captured a few years ago with my iPhone. Yesterday's images are of two ceilings, one in a local grocery store, the other at a local department of motor vehicles (where I sat, bored, one day in 2017, while waiting for one of my sons to test for his driver's permit). Today's images come courtesy of a local mall. There is appreciable comfort (from my otherwise omnipresent angst over few-and-far-between photo opportunities) in knowing that there are always wonders to be discovered, even if such "discoveries" are of discoveries made long ago!

Geometry and Space

"It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it."

- Bernhard Riemann (1826 - 1866)

Sovereignty of the Intellect

"The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church, which had been maintained through the Middle Ages, had crumbled, and a wave of skepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science 'more geometrico.'"

- Hermann Weyl (1885 - 1955)

Visible Delineations

"You see what the eye does teach; and yet it would never of itself have afforded this insight, without something that looks through the eyes and uses the data of the senses as mere guides to penetrate from the apparent to the unseen. It is needless to add the methods of geometry that lead us step by step through visible delineations to truths that lie out of sight, and countless other instances which all prove that apprehension is the work of an intellectual essence deeply seated in our nature, acting through the operation of our bodily senses."

- St. Gregory of Nyssa (335 – 395)

Geometry

"Euclid's Elements has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing with the progress of man from a worse to a better state. The encouragement; for it contained a body of knowledge that was really known and could be relied on, and that moreover was growing in extent and application. For even at the time this book was written—shortly after the foundation of the Alexandrian Museum—Mathematics was no longer the merely ideal science of the Platonic school, but had started on her career of conquest over the whole world of Phenomena. The guide; for the aim of every scientific student of every subject was to bring his knowledge of that subject into a form as perfect as that which geometry had attained. Far up on the great mountain of Truth, which all the sciences hope to scale, the foremost of that sacred sisterhood was seen, beckoning for the rest to follow her"

- William Kingdon Clifford (1845 - 1879)

The Extraordinary Ordinary

"Quit trying to find beautiful objects to photograph.

Find the ordinary objects so you can

transform them by photographing them."

- Morley Baer (1916 - 1995)

Postscript. When I do photography (that is, when I am lucky enough to have some time to squeeze photography in between my day-job responsibilities), I am decked out with the usual "photographer's paraphernalia" (i.e., camera + vertical grip, tripod, an assortment of lenses, filters, ...). For subject matter, almost without exception, I find myself either perusing landscapes in a local park (that I know the trails of about as well as I know the layout of my home), or exploring color light abstractions in a make-shift studio I've built in my basement. The exceptions are when traveling with my family (when I do essentially the same thing anyway - photographically speaking - but just don't know the trails as well:), and when not in possession of my "real" camera or the bag-full-of-paraphernalia that accompanies it. 

While all photographers strive to transform the "ordinary into the extraordinary" (ala Morley Baer's admonition, and in deference to Minor White's dictum to take pictures of "what else" a thing is), it is often the case that just recognizing that something is sufficiently "ordinary" to warrant training one's camera on is itself hard enough, let alone the task of transforming that "ordinary thing" into something "else." A (far from original) trick I use is to force myself into a more receptive frame-of-mind by deliberately not having my camera at the ready. When the (clichéd) "best camera is the one you're carrying" is not my usual "go to" camera of choice, my mind's eye is free to discover (perhaps otherwise invisible?) patterns, realities, and the myriad extraordinary ordinary things we spend our lives immersed in.

And so, the "rest of the story" behind the images you see assembled in the 3-by-3 polyptych shown above, is that these are some recent examples of the magical "extraordinary ordinary" reality that my iPhone - not my Nikon D810 - consistently and generously reveals to me. The more banal descriptions of what these images are really images of, are, in no particular order: staircases in the building I work in 5 days a week, lights at the Kennedy Center for the Performing Arts (in Washington, DC), the ceiling at a Department for Motor Vehicles service center, light fixtures at a local Mall and restaurant, and a skylight at a supermarket. The extraordinary ordinary indeed.

Mathematical Language

"Philosophy [nature] is written in that great book which ever is before our eyes - I mean the universe - but we cannot understand it if we do not first learn the language and grasp the symbols in which it is written. The book is written in mathematical language, and the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word of it; without which one wanders in vain through a dark labyrinth."

- Galileo (1564 - 1642)

Suggested Reality

"You must suggest to me reality; you can never show me reality.

...all thinkers are apt to become dogmatic, and every dogma fails because it does not give you the other side. The same is true of all things, art, religion and everything else. You must find a third, as your standpoint of reason. This is how I came to work in the science of geometry, which is the only abstract truth."

- George Inness (1825 - 1894)

Coexistence

"There is a constant and

intimate contact among the

things that coexist and co-evolve

in the universe;

 a sharing of bonds and

messages that makes reality

into a stupendous network

of interaction and communication."

- Ervin Laszlo (1932 - )

Resonance, Spirit, and Proisvedenie

" …the long Russian word for creation proisvedenie, so different from its shorter counterparts in English, French and German, express for me the whole history and process of creation, lengthy, mysterious, infinitely complex and foreshadowed by divine predestination.

...in many ways art is similar to religion. Its development consists not in new discoveries which invalidate the old truths (as is obviously the case in science). Its development consists in sudden illuminations, similar to lightning, in explosions, which burst in the sky like fireworks… …this illumination shows with blinding light new perspectives, new truths, which are basically nothing but the organic development, the further organic growth of the earlier wisdom.

...the world is full of resonances. It constitutes a cosmos of things exerting a spiritual action. The dead matter is a living spirit."

- Wassily Kandinsky

(1866 - 1944)

The Aleph

"All language is a set of symbols whose use among its speakers assumes a shared past. How, then, can I translate into words the limitless Aleph, which my floundering mind can scarcely encompass? Mystics, faced with the same problem, fall back on symbols...Really, what I want to do is impossible, for any listing of an endless series is doomed to be infinitesimal. In that single gigantic instant I saw millions of acts both delightful and awful; not one of them occupied the same point in space, without overlapping or transparency...I saw, close up, unending eyes watching themselves in me as in a mirror; I saw all the mirrors on earth and none of them reflected me...I saw the circulation of my own dark blood; I saw the coupling of love and the modification of death; I saw the Aleph from every point and angle, and in the Aleph I saw the earth and in the earth the Aleph and in the Aleph the earth; I saw my own face and my own bowels; I saw your face; and I felt dizzy and wept, for my eyes had seen that secret and conjectured object whose name is common to all men but which no man has looked upon -- the unimaginable universe."

- Jorge Luis Borges
Author / Essayist
(1899 - 1986)

Time, Webs, and Bifurcations

"...This web of time—the strands of which approach one another, bifurcate, intersect or ignore each other through the centuries—embraces every possibility. We do not exist in most of them. In some you exist and not I, while in others I do, and you do not, and yet in others both of us exist. In this one, in which chance has favored me, you have come to my gate. In another, you, crossing the garden, have found me dead. In yet another, I say these very same words but am in error, a phantom...Time is forever dividing itself toward innumerable futures..."

- Jorge Luis Borges (1899 - 1986)
Garden of Forking Paths, Ficciones