Showing posts with label Infinity. Show all posts
Showing posts with label Infinity. Show all posts

Friday, March 07, 2025

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)

Wednesday, January 22, 2025

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 - )

Thursday, December 05, 2024

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

Thursday, September 12, 2024

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)

Monday, April 22, 2024

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

Sunday, September 10, 2023

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 😊

Thursday, September 07, 2023

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 😊

Friday, June 16, 2023

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."

Saturday, May 27, 2023

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 🙂

Saturday, December 17, 2022

Dimensionality of Time


"In this world, time has three dimensions, like space. Just as an object may move in three perpendicular directions, corresponding to horizontal, vertical, and longitudinal, so an object may participate in three perpendicular futures. Each future moves in a different direction of time. Each future is real. At every point of decision, the world splits into three worlds, each with the same people, but different fates for those people. In time, there are an infinity of worlds."

Alan Lightman (1948 - )
Einstein's Dreams

Saturday, December 10, 2022

Transcendent Logic


"Universe, therefore, is only a mythological expression. The thoughts suggested by this word are perfectly irregular, entirely independent. As soon as we leave the bounds of the moment, as soon as we try to increase and extend our presence outside of itself, we exhaust ourselves in our liberty. We are surrounded by all the disorder of our knowledge, of our faculties. We are besieged by what is remembered, what is possible, what is imaginable, calculable, all the combinations of our ideas in all degrees of probability, in every phase of precision. How can we form a concept of something that is opposed to nothing, rejects nothing, resembles nothing? If it resembled something, it would no longer be the whole. If it resembles nothing... And, if this totality is equivalent in power to one's mind, the mind has no hold over it. All the objections that rise against an active infinity, all the difficulties encountered when one attempts to draw order out of multiplicity, here assert themselves. No proposition can be advanced about this subject so disordered in its richness that all attributes apply to it. Just as the universe escapes intuition, in the same way it is transcendent to logic.

As for its origin—in the beginning was fable.
It will be there always."

Paul Valery (1871 - 1945)
"On Poe's Eureka" in Selected Writings of Paul Valéry

Thursday, December 30, 2021

Universal Spark


"Like an explosive awaiting a spark, unimaginably numerous environments in the universe are waiting out there, for aeons on end, doing nothing at all or blindly generating evidence and storing it up or pouring it out into space. Almost any of them would, if the right knowledge ever reached it, instantly and irrevocably burst into a radically different type of physical activity: intense knowledge-creation, displaying all the various kinds of complexity, universality and reach that are inherent in the laws of nature, and transforming that environment from what is typical today into what could become typical in the future. If we want to, we could be that spark."

- David Deutsch (1953 - )
The Beginning of Infinity 

Friday, December 03, 2021

The Sentinel

"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 of gods
looking out across infinity
and finding none to
share their thoughts."

- Arthur C. Clarke (1917 - 2008)

Friday, November 05, 2021

Two Worlds


"There are only two worlds - your world, which is the real world, and other worlds, the fantasy. Worlds like this are worlds of the human imagination: their reality, or lack of reality, is not important. What is important is that they are there. These worlds provide an alternative. Provide an escape. Provide a threat. Provide a dream, and power; provide refuge, and pain. They give your world meaning. They do not exist; and thus they are all that matters."

- Neil Gaiman (1960 - )
The Books of Magic

Postscript. This is a different view (or diptych-ed views) of the same Rocky Brooks Falls (near Dosewallips State Park, on the part of the Olympic Peninsula that faces the Hood Canal in Washington state) I uploaded a different picture of a few months ago. While, as I described in that earlier blog post, the falls themselves are almost embarrassingly easy to get to (since they are less than a 1/4 mile away from a small parking area), maneuvering in and around the falls in hopes of finding a better composition than the obligatory "Here is what my wide angle lens can capture!" is difficult; well, at least it's difficult for a 60yo with 59 years or so of wear and tear on the knees :) With the help of one of my sons (who was kind enough to act as a carry mule for my camera bag and tripod), I managed to catch either one or two non-obligatory shots (depending on how you slice the diptych) from a point well in front of the main falls (from which the bottom-most part of the falls is invisible). I think that while each "part" works well on its own, as an image, they are self-contained enough that the diptych adds a bit of contextual "interest." The relatively small area into which these falls descend has the remarkable property that just about any spot one stands on seemingly offers a veritable infinity of "different" compositions. Though it is, in truth, far more typical than not for photographers to feel this way about any spot (!), I have found this particular waterfall to be blessedly infused with this magical property more so than most. Despite having already taken close to a hundred different shots during our two trips (thus far), I am already looking forward to my next visit :)

Saturday, September 25, 2021

Fiery Organisms


"Just imagine ... that somewhere, in the cosmic vacuum, close to absolute zero, there are creatures nothing like us, let’s say a kind of metallic organism, that are conducting various experiments. Among others they succeed—never mind how—suffice it to say they succeed in synthesizing a living protein cell. A single amoeba. What will become of it? Of course, only just created, it will immediately fall apart, explode, but its remains will freeze, because in a vacuum, the water contained within it will boil and instantly change into steam while the heat of the protein transmutation will immediately irradiate.
...
There exists—so I am told—only one kind of life: the development of proteins that is familiar to us, divided into the realms of plants and animals. At temperatures removed from absolute zero, in barely three hundred small steps, evolution occurs, and its crowning glory is the human being. Only man and those like him can oppose the tendency prevalent throughout the Universe for chaos to grow. Yes, according to this statement, everything is chaos and disorder—the terrible heat inside stars, the walls of fire of galactic nebulae set alight by mutual penetration, the gas balls of suns; after all—say those sober, rational, and thus undoubtedly correct people—no device, no kind of organization, not even the smallest trace of it can appear in oceans of boiling fire; suns are blind volcanoes that spit out planets, while planets, exceptionally and rarely, sometimes create man—everything else is the lifeless fury of degenerate atomic gases, a swarm of apocalyptic fires shaking their prominences.
...
...you think the Earth is a crumb of life within an ocean of nothingness. You think man is solitary, and has the stars, the nebulae, the galaxies as adversaries, as enemies. You think the only knowledge that can be obtained is the kind he has possessed and will continue to possess—man, the only creator of Order, endlessly threatened by a deluge of infinity that radiates distant points of light. But that is not the case. The hierarchy of active endurance is omnipresent. Anyone who so wishes may call it life. On its peaks, at the heights of energy arousal, fiery organisms endure. Just before the limit, at the point of absolute zero, in the land of darkness and of the final, hardening breath, life appears once more, as a weak reflection of that one, as its pale, dying memory—that is us. "

Stanislaw Lem (1921 - 2006)
"The Truth" in The Truth and Other Stories

Wednesday, March 17, 2021

Subliminal Knowledge


 "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

Thursday, December 03, 2020

Eternally Complex Tapestry


"Its substance was known to me. The crawling infinity of colours, the chaos of textures that went into each strand of that eternally complex tapestry…each one resonated under the step of the dancing mad god, vibrating and sending little echoes of bravery, or hunger, or architecture, or argument, or cabbage or murder or concrete across the aether. The weft of starlings’ motivations connected to the thick, sticky strand of a young thief’s laugh. The fibres stretched taut and glued themselves solidly to a third line, its silk made from the angles of seven flying buttresses to a cathedral roof. The plait disappeared into the enormity of possible spaces.

Every intention, interaction, motivation, every colour, every body, every action and reaction, every piece of physical reality and the thoughts that it engendered, every connection made, every nuanced moment of history and potentiality, every toothache and flagstone, every emotion and birth and banknote, every possible thing ever is woven into that limitless, sprawling web.

It is without beginning or end.
It is complex to a degree
that humbles the mind.
It is a work of such beauty
that my soul wept...

..I have danced with the spider. 
I have cut a caper
with the dancing mad god."

- China Miéville (1972 - )
 Perdido Street Station

Tuesday, December 01, 2020

Wonder about Wonder


"How can a three-pound mass of jelly that you can hold in your palm imagine angels, contemplate the meaning of infinity, and even question its own place in the cosmos? Especially awe inspiring is the fact that any single brain, including yours, is made up of atoms that were forged in the hearts of countless, far-flung stars billions of years ago. These particles drifted for eons and light-years until gravity and change brought them together here, now. These atoms now form a conglomerate- your brain- that can not only ponder the very stars that gave it birth but can also think about its own ability to think and wonder about its own ability to wonder. With the arrival of humans, it has been said, the universe has suddenly become conscious of itself. This, truly, it the greatest mystery of all."

- V. S. Ramachandran (1951 - )
The Tell-Tale Brain

Thursday, April 02, 2020

Towards Silence


"Somewhere in the
onrush of everydayness
I lost track of myself.
Now I lie beside this chaste sea
watching a skyful of sun, clouds,
and birds sailing towards silence.
Music enters the afternoon,
weaves the air then gently falls
on me with the uncertainty of rain.
Suddenly all things beneath the sand
are moving with the restless wind.

Preoccupied with the perishable day,
I am deaf to yesterday's churning
with its graveclothes and honors.
All I want to hear, or feel, is music,

So, I will remain by this partisan sea,
running without moving,
shedding the thick skin of doubt,
listening to the sky sing, watching--
still waiting to bring myself
to this place where I should arrive."

- Gordon Parks (1912 - 2006)