The relevant passages
occur in the context of Hegel's discussion of what he calls “measure”. According to Hegel, everything
that exists is determined by the magnitudes, or quantities, of the things that
constitute it. When a particular magnitude becomes defining for the entity in
question, it is called measure. For example: a dwarf that grows above a
certain size is no longer a dwarf. A piece of sandy land needs to exceed a certain size before we call it a desert. Hot days need to continue with a certain regularity before we can speak of climate change, and so on. The size or magnitude (a quantity) is thus
part of what defines the thing (a quality). As Hegel writes, the specific quantity (or
quantum) “is now the determination of the thing, which is destroyed if it is
increased or diminished beyond this quantum” (p. 333f).
According
to Hegel, measure is a paradoxical. This is because we usually can’t find anything in
the concept of a thing that pinpoints the exact quantitative limit where a qualitative
change must occur. This makes us think that we can vary the quantity without
affecting the quality. A forest needs to have a certain size in order to be a forest, but it will surely remain a forest even if we cut down one tree. A
heap remains a heap even if we remove a grain of sand from it, and a hair pulled from a person’s
head doesn’t make the person bald. Yet, obviously, if we keep
cutting, removing and pulling we will eventually arrive at a point where the
forest and heap will disappear and the person will be bald. What Hegel
describes here is the so-called sorites
paradox (from the Greek word for heap).
Hegel
concludes that:
... the destruction of anything which has a measure takes place through the alteration of its quantum. On the one hand, this destruction appears as unexpected, in so far as the quantum can be changed without altering the measure and the quality of the thing; but on the other hand, it is made into something quite easy to understand through the idea of gradualness. (p. 334f)
This passage
is remarkable for two reasons. The first is the range of Hegel’s claim. He claims
that anything can be destroyed
through quantitative alterations (this is the only possible interpretation
since “everything that exists has a measure”, p. 333). Hegel is clearly aware of the gravity this lends his statement. He goes out of his way to argue
that the examples he has given about heaps and baldness “are not a pointless or
pedantic joke” (p. 336). Instead, they point to a paradoxical quality that
adheres to everything that exists. There’s a brittleness to things which we
cannot grasp if we focus only on their quality, on the way we understand them
through concepts. The destruction of the State or of
great fortunes are two further examples:
Quantum... is the aspect of an existence which leaves it open to unsuspected attack and destruction. It is the cunning of the Notion to seize on this aspect of a reality where its quality does not seem to come into play and such is its cunning that the aggrandizement of a State or of a fortune, etc., which leads finally to disaster for the State or for the owner, even appear at first to be their good fortune. (p.336)
This is a magnificent
passage. That it comes like a bolt out of the blue in the midst of
Hegel’s long, notoriously abstruse and seemingly apolitical discussions about
quantity and quality only makes it more impressive. No wonder his idea
of the transformation from quantity to quality later came to inspire hosts of
revolutionaries!
Secondly, Hegel
points to an interesting curiosity. The destruction is always unexpected, he claims, and this despite the fact that it is quite easy to understand what causes it. Strangely, it’s not because of ignorance that we are surprised by
the destruction of a State or a fortune. On the contrary, we are surprised because the concepts we use tell us that small
quantitative changes in things won’t affect their quality. We know that
removing one grain of sand from a heap won’t make the heap disappear, because that’s
part of the concept of a heap. That’s why politicians and capitalists, and
others too, are justified in thinking that a little more aggrandizement won’t
hurt.
Who can
avoid thinking here of global warming? We all know that releasing greenhouse
gases into the atmosphere is bound to cause global catastrophe, yet we go on thinking
that “a little more won’t hurt”. And we are quite correct in thinking so. Surely,
it can’t possibly make any difference to the global climate whether I choose to
walk to my job today or to take the car. Similarly, it doesn't make any sense to claim that any particular molecule of CO2 is decisive in causing global warming. It’s
precisely because we are so irrefutably correct that we’re in for a surprise
when we realize that the catastrophe is here. To put it differently, we can’t
stand with a measurement instrument in hand and say: now the catastrophe begins. What happens is rather that, when the
dialectical Umschlag finally occurs,
we realize that the catastrophe has been going on all the time, and that we were living in its midst even when we still thought that things were fine. The Umschlag brings with it a shift of perspective from which it becomes possible to project the origins of the catastrophic process far back into the distant past. To awaken to the catastrophe of
global warming is thus to realize not only that the catastrophe is here, but that it has been unfolding ever since the industrial revolution first
brought steam engines into the world. It's not just that quantitative changes give rise to qualitative ones; there is also an opposite process, through which the qualitative shift produces a certain version of the past which tells us which quantitative processes should be deemed relevant and important. That's why the awareness of catastrophe often seems to include the realization that the
catastrophe isn’t new. The catastrophe started already when we cut the
first tree, removed the first grain of sand, and plucked the first hair.
The economy
is perhaps an even better example of how changes both surprise us and don’t
surprise us. I’m not thinking here of the constantly recurring speculation bubbles,
which certainly surprise us so often that they no longer surprise us, so much as of the ideology of endless exponential growth. Mainstream economics
has so far failed to make sense of such growth, which clearly leads to absurd
consequences if extrapolated far enough into the future. What seems to be missing
in the models used in economic theory is that they fail to acknowledge that their
concepts are defined by a “measure” which sets limits to the magnitudes that
they can comprehend. If we think that two per cent annual growth every year is
good, but that endless exponential growth is an absurdity, then we clearly have a problem in how to relate quantity to quality. To be more precise: our entire economy is built around the sorites paradox.
Yet when we look closer at the idea of emergence we discover an ambiguity related to how it brings together qualitative and quantitative change. On the one hand, emergence is a causal process, in which a macro-level phenomenon results from complex, interlocking processes originating on the micro-level. On the other hand, emergence is also the result of a conceptual Gestalt shift, or shift in perspective, which in itself says nothing about causality. As an example, we can return to the heap of sand. The heap isn’t “caused” by the grains of sand in any ordinary sense of the word. For instance, there is no temporal sequence such that we first have grains and then a heap. If we dump a load of sand from a bucket, the heap exists from the start. In many discussions about emergence, it seems to me that a clearer distinction between the causal and the conceptual is needed. Exclusively focusing on the causal aspect of emergence easily leads to debates about directions of causality – whether it can only be from micro to macro, or the other way round or between macro-entities as well. While these discussions are important enough, they shouldn’t obscure the fact that causality alone can never explain emergence. Emergence also depends on our ability to capture changes in quality. Without that ability, a dwarf that grows in size would simply be a big dwarf, not something qualitatively different. Nothing would be surprising to such thinking, since nothing qualitatively new would ever happen. On the other hand, exclusively focusing on the conceptual aspect would be equally bad, since it would make us blind to the forces that undermine our concepts, to the way they are “open to unsuspected attack and destruction”, to quote Hegel. Without understanding those forces, we’d deprive ourselves of means for understanding change. All we would have would be one surprising change after the other.
To capture
both the causal and the conceptual side, I think it is worthwhile to return to
Hegel and to how he describes the transformation of quantity into quality as a
process that paradoxically leaves us both surprised and not surprised at
the same time. What Hegel seems to be saying is that quantitative processes –
that may well involves causal mechanisms, such as the greenhouse effect – compel
us to conceptual shifts that allow things to appear in a qualitatively new way.
The compulsion here, however, is not of a causal nature in the sense of a
law-like regularity or automatic reflection. The compulsion arises as a
response to surprise, just as when we suddenly realize that the heap of sand
has disappeared. This is significant, because it shows that Hegel is not an
idealist in the sense that we can disregard experience. As I’ve argued
elsewhere, his idealism consists in his belief in the ability of thought to
retrospectively endow experience with meaning by shaping it into a
conceptual totality.
The
question with which I would like to end my reflections today is this:
doesn’t Hegel’s remarks on the subversive nature of quantitative change also
provide an opening for idealist self-criticism? Even if Hegel opens up thought to experience, his understanding remains conceptual and organized around qualitites. But an important lesson from his discussion about measure is that
quantitative changes are radically subversive. No matter how correct and justified we are in
clinging to the quality of the world as we comprehend it, quantitative changes continually undermine and destabilize it - precisely because they takes place “below the
radar” of conceptual thinking.
Reference:
Hegel, G. W. F. (1969) Science of Logic (tr. A. V. Miller), Oxon: Routledge.
Reference:
Hegel, G. W. F. (1969) Science of Logic (tr. A. V. Miller), Oxon: Routledge.