Showing posts with label Aristotle. Show all posts
Showing posts with label Aristotle. Show all posts

Tuesday, March 03, 2026

There is a Cause

"To return to the difficulty which has been stated with respect both to definitions and to numbers, what is the cause of their unity? In the case of all things which have several parts and in which the totality is not, as it were, a mere heap, but the whole is something beside the parts, there is a cause."

 - Aristotle (384–322 BC)

Monday, September 11, 2023

Fox-like Hedgehogian Photography


"We are what we are, and live in a given situation which has the characteristics – physical, psychological, social – that it has; what we think, feel, do is conditioned by it, including our capacity for conceiving possible alternatives, whether in the present or future or past. Our imagination and ability to calculate, our power of conceiving, let us say, what might have been, if the past had, in this or that particular, been otherwise, soon reaches its natural limits, limits created both by the weakness of our capacity for calculating alternatives – ‘might have beens’ – and even more by the fact that our thoughts, the terms in which they occur, the symbols themselves, are what they are, are themselves determined by the actual structure of our world. Our images and powers of conception are limited by the fact that our world possesses certain characteristics and not others: a world too different is (empirically) not conceivable at all; some minds are more imaginative than others, but all stop somewhere."

- Isaiah Berlin (1909 - 1997)
The Hedgehog and the Fox

Whenever I am on "vacation" - such as when my family and I recently visited Iceland - I instinctively recall Isaiah Berlin's well-known essay, "The Hedgehog and the Fox." The essay - a set of musings about Leo Tolstoy, history and human psychology - is woven around an aphorism attributed to Archilochus: "The fox knows many things, but the hedgehog knows one big thing." Berlin divides the world into two different kinds of thinkers. Some, like Aristotle and Shakespeare, are pluralists - or "foxes" - and cast a wide net to get to know as many things as possible; others, like Plato and Dostoyevsky, are monists - or "hedgehogs" - and strive to know one thing as deeply as they can. 

So, what does this have to do with photography? Substitute "style (or manner) of composition" for "mode of thinking" to get an inkling of the admittedly imprecise analogy I will now leverage to illustrate the inevitable image-making process I seem to  follow during "family vacations." Soon after I arrive at a destination (but excluding the first few days, during which - as a rule - I seem utterly incapable of capturing anything more meaningful than instantly forgettable "touristy" snapshots of something that simply catches my eye), I am drawn exclusively to the "big picture," literally scanning the horizon for sweeping views and landscapes. In other words, I typically approach an "unknown land" like a fox, running from place to place, aware of my larger surroundings, but constantly sniffing, looking, anticipating other places to visit; never resting too long in any one spot. This initial stage of my creative process consists not just of having a loose penchant to search for "Wagnerian landscapes," but is indicative of a deeply entrenched - myopic - focus on "big picture" scenery during which I seem strangely incapable of even seeing anything else. Of course, and for obvious reasons, this "creative insight" is hardly surprising. Iceland's mountains, volcanoes, and glaciers all beckon - demand - your attention even before your plane lands!

But something interesting inevitably happens after a few days go by in a new place. I transform into a "fox-like" hedgehog. While I still scurry around from place to place like a fox (remember, these are vacations I am writing about, so there are usually plenty of sights to see 😊, my eye and camera become deeply drawn to smaller, quieter, vistas that speak more of universal moods and feelings than capturing documentarian-like images of "objects" in a given place. Concomitantly, my compositions transition from images that superficially depict obviously Icelandic scenery (i.e., images that explicitly encode and/or communicate the states-of-being of "multitudinous things" as my eyes saw them "out there" in Iceland), to photographs that implicitly communicate my own state-of-mind (i.e., images that reveal how "big picture" Icelandic vistas transform my inner "I"). 

Sometimes, rarely, I manage to do both, as in the diptych above. The left big-picture image "obviously" depicts uniquely Icelandic rocky forms (which may be easily confirmed by spending a few moments with Google maps), while the one on the right is at least plausibly Icelandic, given its volcanic appearance, but could have been captured anywhere as I scurried to-and-fro in fox-like fashion. Taken as a whole, the diptych also perfectly conveys my Zen state, as I was lost in, and mesmerized by, Iceland's gentle moods and rhythms. Notably (and not unexpectedly), after looking over my archive of raw files when we got back home, images like these did not emerge until I was into the second week of our trip.

Saturday, October 22, 2022

Between Grief and Geometry


"Geometry is a way to organize our models of the world, its shapes and dynamics. But isn’t this all contingent, balanced on a knife’s edge? Could our models have turned out very differently? If the fractal geometry of Mandelbrot had been discovered before the geometry of Euclid, would manufacture be the same? If you think the question is far-fetched, consider the iterated branching of our pulmonary, circulatory, and nervous systems, or the recursive folding of our DNA, or the large surface area and small volume of our lungs and our digestive tract. Evolution has discovered and uses fractal geometry. If people had looked more closely at the geometry of nature, rather than emulating the 'celestial perfection' imposed by the church’s interpretation of the works of Euclid and Aristotle, our constructions could be very different now.
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Beauty is a bridge between grief and geometry.
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Beauty and grief are next-door neighbors, or maybe grief is beauty in a dark mirror… To see beauty is to glimpse something deeper; to grieve is to glimpse a loss whose consequences we will not unpack for years, and maybe never. The beauty of geometry likewise involves great emotional weight, irreversibly alters our perceptions, and is transcendent. For we don’t see all of geometry, only a hint, a shadow of something much deeper."

- Michael Frame (1951 - )
Geometry of Grief

Tuesday, November 16, 2021

Why is the sky blue?


"[Why is the sky blue?] ... It’s a question every toddler asks, but it is also one that most great scientists since the time of Aristotle, including da Vinci, Newton, Kepler, Descartes, Euler, and even Einstein, have asked... One of the things I like most about this explanation—beyond the simplicity and overtness of the question itself—is how long it took to arrive at correctly, how many centuries of effort, and how many branches of science it involves.

Aristotle is the first, so far as we know, to ask the question about why the sky is blue, in the treatise On Colors; his answer is that the air close at hand is clear and the deep air of the sky is blue the same way a thin layer of water is clear but a deep well of water looks black. This idea was still being echoed in the 13th century by Roger Bacon. Kepler too reinvented a similar explanation, arguing that the air merely looks colorless because the tint of its color is so faint when in a thin layer. But none of them offered an explanation for the blueness of the atmosphere. So the question actually has two, related parts: why the sky has any color, and why it has a blue color.
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The sky is blue because the incident light interacts with the gas molecules in the air in such as fashion that more of the light in the blue part of the spectrum is scattered, reaching our eyes on the surface of the planet. All the frequencies of the incident light can be scattered this way, but the high-frequency (short wavelength) blue is scattered more than the lower frequencies in a process known as Rayleigh scattering, described in the 1870’s. John William Strutt, Lord Rayleigh, who also won the Nobel Prize in physics in 1904 for the discovery of argon, demonstrated that, when the wavelength of the light is on the same order as the size of the gas molecules, the intensity of scattered light varies inversely with the fourth power of its wavelength. Shorter wavelengths like blue (and violet) are scattered more than longer ones. It’s as if all the molecules in the air preferentially glow blue, which is what we then see everywhere around us.

Yet, the sky should appear violet since violet light is scattered even more than blue light. But the sky does not appear violet to us because of the final, biological part of the puzzle, which is the way our eyes are designed: they are more sensitive to blue than violet light.

The explanation for why the sky is blue involves so much of the natural sciences: the colors within the visual spectrum, the wave nature of light, the angle at which sunlight hits the atmosphere, the mathematics of scattering, the size of nitrogen and oxygen molecules, and even the way human eyes perceive color. It’s most of science in a question that a young child can ask."

- Nicholas Christakis (1962 - )
This Explains Everything (John Brockman, ed., 2013)