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)

Vuja de

"The hallmark of originality is rejecting the default and exploring whether a better option exists. I’ve spent more than a decade studying this, and it turns out to be far less difficult than I expected. The starting point is curiosity: pondering why the default exists in the first place. We’re driven to question defaults when we experience vuja de, the opposite of déjà vu. Déjà vu occurs when we encounter something new, but it feels as if we’ve seen it before. Vuja de is the reverse—we face something familiar, but we see it with a fresh perspective that enables us to gain new insights into old problems. "

- Adam M. Grant (1981 - )
Originals: How Nonconformists Move the World

Unfathomable Mystery

"In the universe there is an un-measurable, indescribable force which sorcerers call intent, and absolutely everything that exists in the entire cosmos is attached to intent by a connecting link. Sorcerers, or warriors, were concerned with discussing, understanding, and employing that connecting link...Sorcerers, therefore, divide their instruction into two categories; one is for everyday-life state of awareness, the other is for the states of heightened awareness, in which sorcerers obtained knowledge directly from intent, without the distracting intervention of spoken language.

...

... that a warrior, aware of the unfathomable mystery that surrounds him and aware of his duty to try to unravel it, takes his rightful place among mysteries and regards himself as one. Consequently, for a warrior there is no end to the mystery of being, whether being means being a pebble, or an ant, or oneself. That is a warrior's humbleness. One is equal to everything.

...

The world is incomprehensible.

We won’t ever understand it;
we won’t ever unravel its secrets.
Thus we must treat the world as it is:
a sheer mystery."

- Carlos Castaneda (1925 - 1998)

An Illusion, a Phantom, or a Dream

“So I say to you –
This is how to contemplate our
conditioned existence in this fleeting world:
'Like a tiny drop of dew,
or a bubble floating in a stream;
Like a flash of lightning
in a summer cloud,
Or a flickering lamp, an illusion,
a phantom, or a dream.'
'So is all conditioned
existence to be seen.'
Thus spoke Buddha."

- Diamond Sutra (c.858)

Macro and the Micro

"It is all very beautiful and magical here - a quality which cannot be described. You have to live it and breathe it, let the sun bake it into you. The skies and land are so enormous, and the detail so precise and exquisite that wherever you are you are isolated in a glowing world between the macro and the micro, where everything is sidewise under you and over you, and the clocks stopped long ago."

- Ansel Adams (1902 - 1984)
Letter to Alfred Stieglitz

Postscript. The purest simplest joy of life is life itself: living, being, breathing, seeing, feeling, sharing, ... But there are preternaturally precious moments when the experience is so all-consuming and so far transcends what words alone are incapable of revealing (though the wisest among us are sometimes able, in Zen-like fashion, to capture glimpses of the deepest truths), that one is simply lost in the Einsteinian awe of it all ("I have nothing but awe when I observe the laws of nature," as quoted in Einstein and the Poet). For me, this happens (alas, far less frequently than I wish) when I become "lost" amidst the "macro and the micro"; when otherwise arbitrary language-driven distinctions among trees and forest and leaves and space and time ... all dissolve and become one and inseparable. A feeling that seems to be also shared by my eldest son, Noah, who is seen here contemplating his own universe of mysteries by the side of a small footpath he and I took this weekend in a local park:

This Place is a Dream

"This place is a dream.
Only a sleeper considers it real.
...
A man goes to sleep in the town
where he has always lived,
and he dreams he's living
in another town.

In the dream, he doesn't remember

the town he's sleeping in his bed in.
He believes the reality of the dream town.

The world is that kind of sleep.
...

We began as a mineral.

We emerged into plant life

and into animal state,
and then into being human,

and always we have
forgotten our former states,

except in early spring when we
slightly recall being green again.

That's how a young person turns

toward a teacher. That's how a baby leans

toward the breast, without knowing the secret

of its desire, yet turning instinctively.

Humankind is being led along an evolving course,

through this migration of intelligences,

and though we seem to be sleeping,

there is an inner wakefulness

that directs the dream,

and that will eventually startle us back

to the truth of who we are."

- Rumi (1207 - 1273)

Postscript. The triptych consists of three "quick grabs" with my iPhone during the trip my family and I took to the Pacific Northwest this past summer (e.g., see this blog entry). The left- and right-most images show the play of sunlight (reflected off the door of our car) with the pavement as we were going to breakfast one day in Sequim, WA. The middle panel shows a similar play of light (this time reflected off a kettle on our stove) with the stucco walls of the kitchen in the cabin we rented in the northern cascades. Most of my photography is quasi-deliberate, by which I mean that most of my images arise during planned "expeditions" (such as to a local park, or hikes on a family vacation 😊 using my "real" camera. But some of my favorite images - such the ones in this triptych - are captured purely by happenstance, and when my conscious "attention" lies elsewhere (such as on, say, getting breakfast at a restaurant or the first sip of coffee in the morning). Of course, any distinctions I may choose to draw among these various states of being and attention are, of course, at best illusory, and, at worst, utterly meaningless. Even as my "eye" looks toward the path to a restaurant or at the handle of a coffee kettle, my "I" never ceases to revel at the magic of light, color and form that surrounds us in each moment in time and space!

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