The Better Angels Of Our Scientific Nature

I've pointed out many times that what seems rational is constantly evolving as evidence changes. If you don't notice things disappearing over the horizon gradually, or the shadow of the Earth on the Moon during a lunar eclipse, then a flat Earth is an entirely sensible thing to believe in.

A contrary view from comes from the New Atheist crowd, who are apt to insist that all of humanity's history would have been better if people had just never believed in anything religious. This is a garbage and meritless claim, for many reasons/ For one thing, as Pratchett pointed out :

“The amount of belief in the world must be subject to an upper limit... It follows that if a major focus of belief is removed, there will be spare belief.”

You can't just stop believing in things by choice. Can't be done. And this follows in part from the above, that at one point, the evidence for the now-discarded ideas seemed very good indeed. Supernatural explanations made a lot of sense, because we understand minds and agency at a much more instinctual level than we do the conservation of momentum or the hysteresis curve. 

It follows, then, that at one point we really had very little option but to believe in supernatural agency for a good many things : we literally have to believe in something, and without a rational explanation available, the gap is filled with angels and demons.

Which leads me in to this thoroughly interesting Aeon essay which examines this in a lot more detail. More than that, it shows how philosophical musings on the nature of angels was anything but the proverbially-empty question : how many angels can dance on the head of the pin, it turns out, is a tremendously useful vehicle for exploring the nature of space and matter. Inquiries may have begun from a world view that now seems preposterous, but the full examination of these early ideas, when done with careful rigour and logic, led directly to some of the scientific notions we now find most fundamental of all.

This view of angels as immaterial ‘intelligences’ became pretty standard in medieval philosophy and theology. But the scholastic period saw an increasing desire to systematise, systematise, systematise. The precise nature or essence of angels became a serious cause for debate, and these debates were not mere thought experiments. Rather, because of the real belief in the existence of angels, theologians and philosophers could think through angels as a way of understanding the nature of the physical world and things like place, bodies and motion. 

This was motivated by significant theological concerns. One concern was that, if angels are immaterial intelligences, then what makes them different to God? For us, our bodies are what make us limited, able to exercise force only directly, such as when I throw a ball. Does this mean angels, having no body, could exist everywhere or act at a distance? This was dangerous territory for theologians, potentially challenging God’s omnipresence and omnipotence.

And again, I've gone on enough times about how Christianity isn't really monotheistic, because if you allow other supernatural powers which aren't under god's direct agency, then you've all but conceded paganism. However, the author here has a much more interesting point : that to make sense of angels conceptually, you have to grapple with basic physics. And no, the "it's just magic" explanation was not enough for medieval theologians.

The view was that angels had to be located (i.e., limited) but without a body. The key to understanding the angelic debates of the scholastic period is to understand what conceptual tools the physics of the day provided. For all intents and purposes, this physics was Aristotle. For Aristotle, physics was simply about things that move and, on his account, bodies don’t move because of gravity or kinetic energy or the warping of spacetime but because of their natures. 

Similarly, there was no concept of absolute space, but rather a concept of ‘place’, which, unlike Newtonian absolute space or Albert Einstein’s spacetime, does not exist entirely independent of the bodies that inhabit it. As the philosopher Tiziana Suárez-Nani points out in Angels, Space and Place (2008), ‘space … as an undifferentiated and homogenous receptacle, was alien to the medieval mind.’ For Aristotle, bodies could not exist without place, which served as a kind of container. Likewise, there had to be bodies for there to be place. In other words, a vacuum is not possible in Aristotle’s view.

I think it's worth pausing for a moment to consider just how profoundly different this is from the modern concept of space. For us, space is a container : it consists of nothing in itself, but it's where everything goes. It's the "fabric" of the Universe which can itself expand, warp, contract etc., but it's not really a physical thing. It's more the reference system we have for other objects. It isn't defined by them, though it is intimately connected*. It can, in principle, be absolutely empty (vacuum energy notwithstanding), and indeed that's exactly what we mean by space itself. The kind of vacuum-abhorring "place" that Aristotle espoused was something altogether different from our modern notion.

* And people say dualism is some sort of mysticism ! Don't worry, I'm not going there today.

So, what has that got to do with angels? If you recall, theological concerns at the time required angels to have a specific location – to be limited and bodiless – in order to avoid angels with limitless power, rendering them omnipotent as well as omnipresent. Normally, the material body of something locates it, so how can immaterial angels be located? Aquinas and others solved this problem creatively, locating angels not by their physical dimensionality but by their operations. Aquinas proposed that an angel has a different type of location than a bodily being. An angel is in a place by virtue of applying its power to the physical objects in a given place. This limited both an angel’s operations and their location, locating them by their operations, rather than by a body.

Right, so you can have angels which aren't omnipotent or omnipresent and are still immaterial and supernatural. Hooray ! But :

Importantly, the Condemnations of 1277 forbade believing that angels are located by their operations rather than by their substance, so Aquinas’ solution for angelic location was now off the table. If an angel exists in a place solely by its operations, as Aquinas claimed, then what happens when it’s not operating? Angels had to be rethought.

Here’s what Scotus did: he made ‘place’ more mathematical, less tied to location and more similar to our notion of dimension. When thought about in terms of dimension, the ‘place’ occupied by an object stays the same as the object moves through locations. In this sense, its ‘place’, redefined as dimension, is the same, even though it changes location. In other words, Scotus, as aptly stated by Lang, ‘neutralises’ place radically. On the Aristotelian account, direction or location were part of the definition of ‘place’. When redefined more mathematically as a kind of dimension, direction is no longer a necessary feature of this new kind of ‘place’. You can have an idea much more like that of ‘space’, something that doesn’t inherently contain ‘up’, ‘down’, ‘left’ or ‘right’ in its definition.

Technically, this meant that God could create a rock in no ‘place’, if place referred to Aristotle’s definition of place, which was a location within the outermost rim of the heavenly spheres. Whereas Aristotle had defined place as a necessary defining feature of physical bodies, Scotus did not. Instead, he created a hybrid account in which something can exist inside the outermost rim of the celestial sphere (occupying place in the Aristotelian sense), but it doesn’t have to; it could equally just occupy space by having dimension outside of that sphere.

And to use another Pratchett quote : all places are indeed one place, but that place is very large. 

Ahem. We even get something akin to the Uncertainty Principle cropping up :

The image Lang uses, citing Scotus, is of a surface that must have colour, but whose colour can be anything. Angels can occupy a place however small or large, just not infinitely so, and they must operate in a place, though they themselves exist in the place indeterminately... To posit angels as immaterial external forces was indeed oddly closer to a classical physics that sees an invisible force like gravity working on bodies externally. In fact, Gottfried Wilhelm Leibniz accused Newton of having introduced occult forces with his theory of gravity, because gravity seemed to be a supernatural force acting on bodies at a distance.

I mean, it just tells you a lot about human psychology when you find scientists accusing each other of being occult because their rigorous, predictable, mathematical theorems are somehow similar to angels... I'm not sure what exactly it's telling us, but it's certainly a lot, whatever it is. It's interesting to consider "angels" as a proxy for "force", though it would seem very strange to suggest that God ordered the world using ultra-obedient angels rather than just making things go round and round. Why didn't planets move directly according to his will ? Perhaps this again points to a seriously profound mismatch between our modern concepts and the medieval mindset. 

The role angels played in such thought experiments was unique: angels transcended the purely physical world but were still ‘creatures’ that abided by the rules and the logic governing the Universe.. .angels, precisely because of their intermediary status, allowed human beings to think about dimensions of created reality that yet transcended our direct human perceptions.

While it is easy enough to ridicule the suggestion that movement is the result of occult forces such as angels, we cannot, having ascended the ladder of knowledge, so easily kick that ladder out from under ourselves... We equate ‘up’ with ‘more’ when we say ‘the stock market rises’ because when we see, for example, rocks piled up, we learn to equate higher with more. We say we ‘grasp’ an idea because we have experienced reaching for a piece of fruit on a tree. In addition, we have a very hard time imagining a nonphysical thing. What we imagine, when we imagine a soul or an angel or a demon, is some kind of insubstantial, but still ghostly, object.

I would say slightly the opposite on this last point. We have no problems at all imagining ghosts in an abstract sense. Ghost ? Sure, it's a person who can walk through walls, wails around a lot waving chains and making woo-woo noises. Easy peasy. But try and explain how this works on the physical level and we come quickly unstuck. How can it be perceived if it doesn't interact with light ? How can we hear its woo-woo noises if it can walk through solid walls : why would its lungs interact with the molecules of the air, and why doesn't it fall through the floor ? Nevertheless, the imaginary concept of a ghost is simplicity itself.

Although occult forces such as angels and demons may be ridiculed in modern culture as ‘hand-wavey’ explanations of quite logical, down-to-earth scientific phenomena, I would suggest the inverse. That what is most down-to-earth might in fact be to think about the invisible forces of nature as angels, agents, immaterial intelligences with certain properties familiar to us, but amplified. Properties like agency and intention. It is only in thinking through, and with, these more familiar concepts that we can then discover a less intuitive set of concepts, like spacetime, which require grounding in concepts like dimension, body, place and movement. These necessary grounding concepts were sharpened, historically, by thinking through the relationship between the material and immaterial world, and angelology played a significant role in their honing.

And I find myself in strong agreement. I presume that the author doesn't mean that we really should think about things as all being imbued with intentionality or anything like that, only that we naturally do. Such a beginning is our jumping-off point, something we can easily understand in order to progress to the next level. Saying that electrons, in suspiciously Aristotleian-fashion, want to reach the lowest energy state, is a very handy lie-to-children. Pretty soon (sometimes immediately) we realise that the electron doesn't necessarily want anything at all, in the literal sense, but the metaphor helps us understand. Only with that basic concept in hand can we get to the hard mathematics, to try and consider – insofar as our observational data permits us – what's really going on.

Right then, time to write to Dan Brown and tell him to write a blockbuster sequel. I'm sure philosophical musings on the nature of immaterial angels and their implications for cosmology is a guaranteed cinema hit.