Possible Worlds

 "As there are an infinity of possible worlds,
there are also an infinity of laws,
certain ones appropriate to one; others,
to another, and each possible individual
of any world involves in its concept
the laws of its world."

- G.W. Leibniz (1646 - 1716)

Infinite Garden

"The Author of nature has been able to employ this divine and infinitely wonderful power of art, because each portion of matter is not only infinitely divisible, as the ancients observed, but is also actually subdivided without end, each part into further parts, of which each has some motion of its own; otherwise it would be impossible for each portion of matter to express the whole universe. [...] Each portion of matter may be conceived as like a garden full of plants and like a pond full of fishes. But each branch of every plant, each member of every animal, each drop of its liquid parts is also some such garden or pond. [...] And although the earth and the air interspersed between the plants in the garden, or the water interspersed between the fish in the pond, are not themselves plant or fish, yet they still contain them, though more often than not of a subtlety imperceptible to us. [...] Therefore there is nothing uncultivated, nothing sterile, nothing dead in the universe, no chaos, no confusion, except in appearance."

- G.W. Leibniz (1646 - 1716)
Monadology

Vast Similitude

"On the beach at night alone,
As the old mother sways her to and fro singing her husky song,
As I watch the bright stars shining,
I think a thought of the clef of the universes and of the future.

A vast similitude interlocks all,

All spheres, grown, ungrown, small, large, suns, moons, planets,

All distances of place however wide,

All distances of time, all inanimate forms,

All souls, all living bodies though they be ever so different, or in different worlds,

All gaseous, watery, vegetable, mineral processes, the fishes, the brutes,

All nations, colors, barbarisms, civilizations, languages,

All identities that have existed or may exist on this globe, or any globe,

All lives and deaths, all of the past, present, future,

This vast similitude spans them, and always has spann’d,
And shall forever span them and compactly hold and enclose them."

- Walt Whitman (1819 - 1892)
"On the Beach at Night Alone" in Leaves of Grass

Present Memories

"We do not experience time flowing, or passing. What we experience are differences between our present perceptions and our present memories of past perceptions. We interpret those differences, correctly, as evidence that the universe changes with time. We also interpret them, incorrectly, as evidence that our consciousness, or the present, or something, moves through time."

- David Deutsch (1953 - )
The Fabric of Reality

A Sea of Looking-Glass

"But when ... he cast his eyes around him, the most horrible despair was infused into his soul. Before him stretched an ocean without limit. The dark sand of the desert spread further than eye could reach in every direction, and glittered like steel struck with bright light. It might have been a sea of looking-glass, or lakes melted together in a mirror. A fiery vapor carried up in surging waves made a perpetual whirlwind over the quivering land. The sky was lit with an Oriental splendor of insupportable purity, leaving naught for the imagination to desire. Heaven and earth were on fire.

The silence was awful in its wild and terrible majesty. Infinity, immensity, closed in upon the soul from every side. Not a cloud in the sky, not a breath in the air, not a flaw on the bosom of the sand, ever moving in diminutive waves; the horizon ended as at sea on a clear day, with one line of light, definite as the cut of a sword."

- Honoré de Balzac (1799 - 1850)

Silence and Stillness

"When I detect a beauty in any of the recesses of nature, I am reminded, by the serene and retired spirit in which it requires to be contemplated, of the inexpressible privacy of a life - how silent and unambitious it is. The beauty there is in mosses must be considered from the holiest, quietest nook.

...

Silence is the communion of a conscious soul with itself. If the soul attend for a moment to its own infinity, then and there is silence. She is audible to all men, at all times, in all places, and if we will we may always hearken to her admonitions.

...

The gods delight in stillness, they say ’st-’st. My truest - serenest moments are too still for emotion -they have woolen feet. In all our lives we live under the hill, and if we are not gone we live there still."

- Henry David Thoreau (1817 - 1862)

Topologically Speaking

"It is as if one hemisphere of your brain is perceiving the world as reflected in a mirror. Through a mirror. See? So left becomes right, and all that that implies. And we don’t know yet what that does imply, to see the world reversed like that. Topologically speaking, a left-hand glove is a right-hand glove pulled through infinity.

...

The bedrock basic stratum of reality is irreality;
the universe is irrational because
it is built not on mere shifting sand –
but on that which is not.

...

Pascal said, 'All history is one immortal
man who continually learns.'"

- Philip K. Dick (1928 - 1982)

Boundless Ambiguity

Paradox Museum, Miami, Florida

"The writing lies before you and always says the same, if you believe in words. But if you believe in things in whose places only words stand, you never come to the end. And yet you must go an endless road, since life flows not only down a finite path but also an infinite one. But the unbounded makes you anxious since the unbounded is fearful and your humanity rebels against it. Consequently you seek limits and restraints so that you do not lose yourself tumbling into infinity Restraint becomes imperative for you. You cry out for the word which has one meaning and no other, so that you escape boundless ambiguity. The word becomes your God, since it protects you from the countless possibilities of interpretation. The word is protective magic against the daimons of the unending, which tear at your soul and want to scatter you to the winds. You are saved if you can say at last: that is that and only that. You speak the magic word, and the limitless is finally banished. Because of that men seek and make words."

- C. G. Jung (1875-1961)
The Red Book: A Reader's Edition

A Sliver of Reality

"Most of us aim in our short century or less to create a comfortable existence within the tiny rooms of our lives. We eat, we sleep, we get jobs, we pay the bills, we have lovers and children. Some of us build cities or make art. But with the luxury of true freedom of mind, there are larger concerns. Look at the sky. Does space go on forever, to infinity? Or is it finite but without boundary or edge, like the surface of a sphere? Either answer is disturbing, and unfathomable. Where did our Sun and Earth come from? Where did we come from? Quickly, we realize how limited we are in our experience of the world. What we see and feel with our bodies, caught midway between atoms and stars, is but a small swath of the spectrum, a sliver of reality."

- Alan Lightman (1948 - )
Probable Impossibilities

Subliminal Worlds

"'Can we perceive those inorganic beings, don Juan?' I asked. 'We certainly can,' he replied. 'Sorcerers do it at will. Average people do it, but they don't realize that they're doing it because they are not conscious of the existence of a twin world. When they think of a twin world, they enter into all kinds of mental masturbation, but it has never occurred to them that their fantasies have their origin in a subliminal knowledge that all of us have: that we are not alone.'"

- Carlos Castaneda (1925 - 1998)
The Active Side of Infinity

Unknown Infinity

"When I stand alone with the earth and sky
a feeling of something in me going off in every direction
into the unknown of infinity means more more to me than
any organized religion gives me."

-  Georgia O'Keeffe (1887 - 1986)

Cosmic Journey

"We are travelers on a cosmic journey — stardust, swirling and dancing in the eddies and whirlpools of infinity. Life is eternal. But the expressions of life are ephemeral, momentary, transient. Gautama Buddha, the founder of Buddhism, once said, This existence of ours is as transient as autumn clouds. To watch the birth and death of beings is like looking at the movements of a dance. A lifetime is like a flash of lightning in the sky, Rushing by like a torrent down a steep mountain. We have stopped for a moment to encounter each other, to meet, to love, to share. This is a precious moment, but it is transient. It is a little parenthesis in eternity. If we share with caring, lightheartedness, and love, we will create abundance and joy for each other. And then this moment will have been worthwhile."

- Deepak Chopra (1946 - )

Euclidean Dimensions

"There have been and still are geometricians and philosophers, and even some of the most distinguished, who doubt whether the whole universe, or to speak more widely the whole of existence, was only created in Euclid's geometry; they even dare to dream that two parallel lines, which according to Euclid can never meet on earth, may meet somewhere in infinity. I have come to the conclusion that, since I can't understand even that, I can't expect to understand about God. I acknowledge humbly that I have no faculty for settling such questions, I have a Euclidean earthly mind, and how could I solve problems that are not of this world? And I advise you never to think about it either, my dear Alyosha, especially about God, whether He exists or not. All such questions are utterly inappropriate for a mind created with an idea of only three dimensions."

- Fyodor Dostoyevsky (1821 - 1881)
Brothers Karamazov

Leaves of Forgotten Paths

"On this plank of silent wood, a leaf descends like a stray sentence from a book never written, a fragment of the universe’s lost prose. The droplets cling to it, like memories of rain on the brink of being erased. They are not droplets at all, but miniature worlds, reflecting all that ever was, and all that will never be. Within this moment, time folds itself inward, a palimpsest of lives and stories overlapping in their stillness, as if each droplet were a star trembling on the edge of oblivion.

The leaf, fragile and delicate, is the map to nowhere—a path we will never walk, though it was laid out for us in some forgotten dream. Its veins are threads of infinite labyrinths, spun from the cosmic loom of contingency. Do they lead to Eden or toward the dust? Borges would have marveled at the infinity it holds within the finite, a cipher for the universe itself, decipherable only by those who have forgotten how to read. Its edges fray with the mystery of countless fates untaken.

But look closely—each grain of wood beneath it bears the imprint of time’s invisible steps. Could it be that this scene was destined to be? Or does the leaf choose its resting place, in defiance of all that is written? The universe pauses, just long enough for this image to be both remembered and lost, seen and unseen, a paradox folding in on itself. We are left to wonder if, in the fading moments of the universe, there will be a single leaf left resting on a board, and if we—trapped in Borges’ eternal dream—will finally understand its purpose."

- ChatGPT4o (12 Sep 2024)
Sparks of Artificial General Intelligence

Prompt: "You are a photographer, poet and philosopher, with a penchant for metaphysics and stories by Jorge Luis Borges. You have taken a black and white image of a leaf resting gently on some old wooden boards. Write a prose poem in the style of Borges that describes a mystery imbued in and implied by this image. Limit the number of stanzas to three, with 5 lines each. Be creative."

Tangled Infinity

"The clearest way into the Universe
is through a forest wilderness."

- John Muir (1838 - 1914)

Hypertelescopic Imagination

"But in truth the eternal spirit was ineffable. Nothing whatever could be truly said about it. Even to name it "spirit" was perhaps to say more than was justified. Yet to deny it that name would be no less mistaken; for whatever it was, it was more, not less, than spirit, more, not less, than any possible human meaning of that word. And from the human level, even from the level of a cosmical mind, this "more," obscurely and agonizingly glimpsed, was a dread mystery, compelling adoration.

...

Gazing at the faintest and remotest of all the swarm of universes, I seemed, by hypertelescopic imagination, to see it as a population of suns; and near one of those suns was a planet, and on that planet’s dark side a hill, and on that hill myself.

...

For suddenly it was clear to me that virtue in the creator is not the same as virtue in the creature. For the creator, if he should love his creature, would be loving only a part of himself; but the creature, praising the creator, praises an infinity beyond himself. I saw that the virtue of the creature was to love and to worship, but the virtue of the creator was to create, and to be the infinite.

...

For our astronomers assure us that in this boundless finitude which we call the cosmos the straight lines of light lead not to infinity but to their source."

- Olaf Stapledon (1886 - 1950)
Star Maker

Iceland's Immeasurable Boundlessness

"...time was slipping past, beating life out silently and with ever increasing speed; there is no time to halt even for a second, not even for a glance behind. 'Stop, stop,' one feels like crying, but then one sees it is useless. Everything goes by — men, the seasons, the clouds, and there is no use clinging to the stones, no use fighting it out on some rock in mid-stream; the tired fingers open, the arms fall back inertly and you are still dragged into the river, the river which seems to flow so slowly yet never stops.

...

Twenty-two months are a long time and a lot of things can happen in them- there is time for new families to be formed, for babies to be born and even begin to talk, for a great house to rise where once there was only a field, for a beautiful woman to grow old and no one desire her any more, for an illness- for a long illness- to ripen (yet men live on heedlessly), to consume the body slowly, to recede for short periods as if cured, to take hold again more deeply and drain away the last hopes; there is time for a man to die and be buried, for his son to be able to laugh again and in the evening take the girls down the avenues and past the cemetery gates without a thought. But it seemed as if Drogo’s existence had come to a halt. The same day, the same things, had repeated themselves hundreds of times without taking a step forward. The river of time flowed over the Fort, crumbled the walls, swept down dust and fragments of stone, wore away the stairs and the chain, but over Drogo it passed in vain- it had not yet succeeded in catching him, bearing him with it as it flowed."

- Dino Buzzati (1906 - 1972)
The Tartar Steppe

The passage above is taken from a novel of one of my favorite authors. Buzzati was trained as a journalist, but channeled his creative energies into creating a magical-realist-like (Kafkaesque, even Borgesian) surrealist world of fantasy just on the cusp of seeming "real." The Tartar Steppe is arguably his best known work. The "hero" of the story, Giovanni Drogo, is stationed at a fort in the desert that overlooks the vast Tartar steppe and told to await an invasion; one which, as we learn over the course of the novel, never actually comes. Among other things (e.g., a scathing rebuke of military life) it is a Camus-like Sisyphisian meditation on time, life, the specter of lost opportunities, and the perpetual - unquenchable - thirst for fulfilment. But, while all of these elements are fascinating on their own (and should prompt anyone with a penchant for Kafka and Borges who has not yet experienced Buzatti's writing to become acquainted with his work), I was reminded of another element of this allegorical tale while driving with my family around Iceland. Namely, its subtle depiction of the immeasurable boundlessness - the infinity - of space and and time. 

Iceland is a curiously dynamic blend of physical, aesthetic, and spiritual contrasts that never do more than only hint at some unfathomable underlying "reality." Iceland's vast stretches of land and sea can be used as backdrops to Drogo's endless wait for something to happen. Seemingly infinite blocks of solidified magma and melting glaciers are omnipresent on the horizon; approachable, in principle (by inquisitive souls willing to risk flat tires or broken axles - or both - while traversing the unpaved roads trying to get to them) but perpetually just-out-of-reach. Measures of time and distance both loose conventional - indeed, any - meaning. Just as the Apollo astronauts had difficulty judging how far rocks and mountains were from them on the moon (in the moon's case, because of the lack of an atmosphere), my family and I often struggled to estimate how "near" or "far" anything was; or how "long" or "short" a time it would take to get somewhere. In our case, this was due not to a lack of an atmosphere (the ever-churning transitions from clear skies to moody clouds to thick unrelenting globs of wind and rain to clear skies again were constant reminders of Iceland's dramatic weather; unlike in Buzatti's novel - in Iceland things emphatically do happen!), but simply to how alien Iceland's landscape is compared to our calibrated norms. Everything In Iceland seems to be simultaneously so close as give the illusion of intimacy, and yet so remotely far, so incomprehensibly and immeasurably distant, as to be unapproachable, at least within a single lifetime (or, at least, during a single trip 😊

Ice Mountains in Motion

"I’ve walked a lot in the mountains of Iceland.
And as you come to a new valley,
as you come to a new landscape,
you have a certain view.
If you stand still, the landscape doesn’t
necessarily tell you how big it is. It doesn't
really tell you what you’re looking at.
The moment you start to move
the mountain starts to move."

- Olafur Eliasson (1967 - )

On the advice of a local glacier guide that we met at the Skaftafell terminal before embarking on our "photo tour," my family and I took our car another 45 min east of the terminal to explore the Jokulsarlon glacier lagoon. For someone who has seen icebergs floating in ocean waters only two other times in his life (both times were in Alaska, and, even then, the icebergs presented themselves more as onesie and twosie "teasers" than sweeping panoramic clusters), Jokulsarlon is - and lives in - a world wholly its own. Icebergs, small and large, span one's view from wherever your feet happen to be planted on the shoreline to the vast ineffable infinity that defines Iceland's remote interior. A subtle but omnipresent hiss and crackle permeates the otherwise quiet air (save that for omnipresent chatter and soft shuffling of tourist's feet) as the ice breathes and slowly meanders about the lagoon. Occasionally, one hears a loud "pop" in the distance, followed by a splash as a chunk of ice falls into the water; or the whirring of engines powering the ubiquitous Zodiak boat tours. Photographically speaking, the glacier lagoon is an angst-filled delight. On the one hand, there are countless compositional opportunities that present themselves literally anywhere one looks; an obvious "delight." On the other hand, there is an accompanying and unsettling angst of knowing that it is simply impossible to do any sort of artistic justice to this breathtaking always-subtly-moving landscape of ice mountains in water; a lifetime would not suffice. While we didn't have a lifetime to spend at Jokulsarlon, we did take away a bit of the timeless awe of nature that this beautiful lagoon leaves all those who take the time to experience it. Thank you, Iceland 😊

Fading Afterglow of Creation

"Nearly a hundred thousand million stars are turning in the circle of the Milky Way, and long ago other races on the worlds of other suns must have scaled and passed the heights that we have reached. Think of such civilizations, far back in time against the fading afterglow of Creation, masters of a universe so young that life as yet had come only to a handful of worlds. Theirs would have been a loneliness we cannot imagine, the loneliness of gods looking out across infinity and finding none to share their thoughts.

...

Here, in the distant future,
would be intelligence.

...

So they left a sentinel,
one of millions they have
scattered throughout the Universe,
watching over all worlds with
the promise of life. It was
a beacon that down the ages
has been patiently signaling the
fact that no one had discovered it."

- Arthur C. Clarke (1917 - 2008)

The Sentinel

Finite Worlds

"It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination."

- Douglas Adams (1952 - 2001)
The Restaurant at the End of the Universe

Note. The image is a "quick grab" with my iPhone of some lights on the ceiling of the hotel my wife and I recently stayed at in Monterey, CA. A basic photography lesson I learned and embraced long ago (though occasionally still forget to apply; happily, not this time) is this: if you are in a "dull, dull, insufferably dull" place for image taking (or, at least, think you are - like standing around in a hotel lobby with nothing to do or to "look at"), just look up or down ... something is sure to catch your eye 🙂