Chapter 4

The Eleatic Problem: The Inability of Movement to Exist

We begin with a deceptive observation: the solid forms of the world appear permanent. Consider the corner of a cube—it maintains its position relative to other corners. A house remains fixed to its ground plane. The continent of Africa retains the shape assigned to it by maps, not only today but yesterday and tomorrow.

Yet we know this permanence is illusory. Even the strongest bulwarks, even continents, are gnawed by the "tooth of time" and change noticeably over centuries. Still, solid form presents itself as if reality itself takes the shape of permanence and existence.

This illusion has shaped all systematic philosophy. As long as humanity has sought understanding, it has pursued knowledge through construction—building conceptual edifices as one builds homes. The Greeks did this with unparalleled mastery, but all philosophers of all times and peoples have done the same. Modern "dynamism" has not broken with this belief in being; it has merely preferred, metaphorically speaking, railway carriages and airplanes to the "fixed residence."

But what if the very attempt to capture reality in systems of being necessarily falsifies what it seeks to comprehend?

Consider Plato's theory of ideas. According to it, "ideas" possess the character of being and form an absolutely existent order according to mutual dependencies. Everything in this world of ideas is presented as one and always the same, enduring and unchangeable, "from eternity to eternity."

"For God," the Timaeus tells us, "did not find everything visible in rest, but in disorderly lawless motion, and led it from disorder to order, because he considered order to be absolutely better than disorder."

But shouldn't this God rather be merely the human mind, and especially the mind of philosophers? What system has not presented us with world orders? Yet in reality, does the world look ordered—a world in which no imposed order by any statesman, technician, or schoolmaster has ever remained? How could it be understandable from an order that no one can foresee whom the storm, the plague, the war will sweep away, whom it will spare, and that never did one day repeat the events of the previous day?

If we want to speak in parables, the world resembles far more the thunderstorm-lit and rain-dissolving weather cloud or a raging ocean than the snail shell or weather roof with which transient beings secure themselves temporarily from storms and floods.

It took a cult of understanding spanning millennia to predispose us to believe in edifices of knowledge that dare to speak of an absolutely existing order about what is utterly disorderly. We should recall that in retrospect lie long millennia of humanity to which this perspective was completely foreign. For even myth intended, among other things, to report on real events—not to establish timeless orders, but to narrate what happened.

One might object that these criticisms strike only Platonic idealism, not the worldview of Democritus formed from atomic vortices, nor the electrodynamic systems of modern physics, which dissolves being into pure "energetics."

But this objection misses the fundamental point: judgmental ability is incapable of appropriating the state of affairs of change. Whether we speak of atoms or energies, we still employ concepts that cannot capture the reality of transformation.

To demonstrate this, we must first observe the phenomenology of change itself. We encounter two fundamental types: continuous and sudden.

In continuous change, we observe the blade of grass growing longer, the bud becoming fuller, the autumn leaf yellowing, the fog densening. We perceive this not merely as different facts succeeding one another, but as a steady change of the same factual inventory. We can divide any such change into arbitrarily many parts—the growth that covers one centimeter traverses an arbitrarily divisible distance. The heat that increases by one degree experiences an arbitrarily divisible rise.

Then there are sudden changes: the bloom that suddenly falls from the stem, the red litmus paper that turns blue in an appearance-wise indivisible instant, the supersaturated solution that suddenly transforms into crystals. We experience the instantaneity of lightning, the sound of a blow, the thrust and jab.

Yet despite their differences, we understand both types of change through a single pattern: translational motion. Apart from seemingly stationary things, we continuously observe moving things—the running animal, the thrown stone, the tree swaying in the wind, the rolling wave, the falling rain, the sailing cloud. We see not the resting thing at different places over time, but rather its motion along with it, inseparably.

We project the concept of motion into every perceived and deduced change. Time comes and goes. Temperature rises and falls. Electric "current" "flows" from anode to cathode. Tones ascend and descend scales. A thought crosses our mind. Motion becomes the archetype of all transformation.

Therefore, if we can demonstrate the impossibility of understanding motion through concepts, we will have demonstrated the impossibility of understanding change itself.

It remains an eternal glory of the Greeks that they provided the irrefutable proof of the impossibility of motion. We consider the strongest of Zeno's four arguments—the one about the flying arrow.

Consider the flying arrow during any given moment of its flight. It always has a specific position, yet not the slightest movement. The same perception that allows me to recognize the arrow-thing as existing deprives this arrow-thing of the possibility of movement.

One might object that we ourselves have denied that a thing could exist in the mathematical moment, so the arrow would simply vanish along with its motion. But this overlooks a crucial distinction: in the non-extended point of time, we do not place the existence of the arrow, but rather its position.

Position is a property or state understood as independent of any duration of existence. The arrow requires a temporal period to exist—it cannot be in the indivisible moment. But its property of position requires no temporal span whatsoever. Its presence at the moment of apprehension forms one of the conditions under which the sameness of the arrow is recognized.

Two iron rails "are" in time. But the angle formed by two iron rails "is" not in time—it belongs to the totality of time-independent properties without which the sameness of the thing would not be comprehensible.

The question is not what the moving arrow is at the indivisible moment, but what its movement is. The irrefutable answer: a position. Nothing more.

Just as surely as the flying arrow has a spatially defined position at any given moment, it would be completely wrong to claim it rests in it. Motion requires time, but so does rest—a body requires time to continuously remain in place just as it requires time to continuously change place. If we remove time, we make both movement and rest impossible.

The flying arrow rests as little in the timeless moment as it could exist at all. But at the moment of its passage through any position, it has just as undeniably a spatially defined position as it does when it has landed back on earth.

Suppose the moving arrow is suddenly frozen, as happens to all movements in the Sleeping Beauty fairy tale. At the moment of this occurrence, it undeniably held a certain position in which it would now remain. Or picture the arrow flying in complete darkness and suddenly illuminated by a flash—you would see it hanging in the air because perception could not follow the slight shift still actually occurring during that brief period.

What have we proven? That at every indivisible moment, motion dissolves into position. Motion requires temporal extension, but the act of perception aimed at being gives us only timeless positions. The reality of motion—which we never doubt—proves incapable of existing.

This conclusion reaches far beyond the problem of motion. With movement, real transience becomes visible even in the apparent rigidity of space. As we move from noticeable to imperceptible change, the seeming constancy of material existence slips away entirely.

Consider what we mean by the "properties" of things. When the leaf I call reddish today appears yellowish after some time, the conceptual meaning of yellowish, like reddish, has remained unchanged. These are time-independent abstractions.

Just as the extensionless point of time, any conceivable property is completely untouched by all change in the world and therefore by all reality. When we say a thing's property has changed, we merely express the fact of a change despite the sameness of the thing itself, which we consider capable of existence through the assumption of different properties over time.

But this means the reality that somehow prompted us to attribute "properties" to things cannot be described with these properties—not if reality, as we do not doubt, belongs to time. Just as the time-points we must assume to think the existence of things do not lie in the reality of events itself, neither do the properties of things lie in the reality of images.

The conceptual meaning of redness lies only in its distinction from blueness. The conceptual meaning of color lies only in its distinction from sound. The conceptual meaning of spatial form lies only in its distinction from other spatial forms. To draw boundaries is the sole capability of perceiving, and to do so it must always look away from what truly appears.

We cut an absolutely continuous entity with time-points by setting boundaries. We cut an absolutely changing reality with properties. In both cases, we impose the schema of being upon what perpetually becomes.

Now we can grasp the full significance of the Eleatic insight: transformation and being exclude each other. If movement belongs to the appearances, then the whole world of appearances lacks being. This is not a deficiency of motion but a revelation about the nature of conceptual understanding itself.

The problem is not that our concepts are insufficiently refined. The problem is that any concept aimed at being necessarily petrifies what lives. We cannot think motion without arresting it. We cannot grasp change without converting it into a series of static states. We cannot comprehend becoming without transforming it into being.

This is why Parmenides, Zeno's teacher, had already asserted the deeper truth: the impossibility of being in occurrence itself. In language of compact directness, he secured being with powerful fortification against any mixture with occurrence:

"It has never come into being, so it can never perish. It is whole, unique in kind and without motion and end. It never was, nor will it ever be, it is only the present, uninterrupted unity. For far into the distance are birth and decay driven away."

Zeno's acumen provided the proof through the never-presence of motion: "What moves, moves neither at the place where it is, nor at the place where it is not."

We stand before a profound realization. The mind's attempt to comprehend reality through concepts of being necessarily falsifies that reality. Every system, every order, every philosophical edifice built to capture the world's nature succeeds only in replacing lived reality with abstract timelessness.

The world does not present itself as ordered being. It presents itself as ceaseless becoming, as perpetual transformation, as what the Greeks called panta rhei—everything flows. But the moment understanding grasps this flow, it arrests it. The moment perception aims at being, it discovers only positions, properties, boundaries—never the living movement itself.

This is not a failure to be overcome through better concepts or more sophisticated systems. It reveals the fundamental character of understanding itself: the spirit stands as adversary to the living soul of reality. Where life flows, understanding freezes. Where the world becomes, the mind imposes being.

The Eleatic problem thus opens onto the central theme of Klages' entire work: the recognition that our conceptual apparatus, our drive toward system and order, our philosophical tradition's fixation on being—all of this represents not progress toward truth, but estrangement from the reality that lives in perpetual transformation before our very eyes.