the introduction of what the Catholic Catechism calls “the four cardinal virtues.” (They are called “cardinal”—from the Latin cardo, meaning “hinge”—because human flourishing hinges upon them.) Prudence (practical wisdom) belongs to the rational level, fortitude to the competitive level, and temperance to the submission of the lower levels to the higher. Justice consists in each level “doing its own thing,” with the lower not attempting to take over the role of the higher and the higher fulfilling its proper functions. The major question that remains is whether the work of the rational level consists solely in “looking down” to ordering the appetites or whether its major task is rather “to look up” to contemplate the order of the cosmos (VII, 529a).
The argument continues up to the level of the famous “philosopher-king” (V, 473d) and on to the study of that which he seeks, “the Good” as “principle of the Whole” (VI, 505a–509c).9 The Good is presented at first metaphorically as “the sun of the intelligible world,” the Top of the cosmos, the ultimate Up. Just as seeing can view the seen only in the light provided ordinarily by the sun, so also intellect can grasp the intelligible only “in the light” of the Good. In the famous Cave Allegory human beings in general are presented as chained from birth down in a dark cave looking at shadows (VII, 514a–517a). Someone frees them from the chains and forces them to “turn their heads around” (reflect) to see what produces the shadows. Someone then drags them up outside where they are at first dazzled by the light of the sun. Then they are put back down in the cave.
The allegory needs “cashing in”: what does it really mean? That is the task of the Line of Knowledge which begins to “remove the chains” that tie us to thinking only in terms of sensory images (VI, 509e–511e). The ascent from the sensory to the intelligible is presented through the Line, the real center of the work, and indeed, the spindle around which philosophy has developed ever since. We have developed aspects of the Line in our Phenomenology of the Mailbox. So it is crucially important to understand what is going on there.
3.
In attempting to explain his notion of philosopher-king, Socrates draws a line between the lovers of beautiful things, the highpoint of education in the purged city, and the lovers of the vision of Beauty itself. Socrates further says that what makes a philosopher a philosopher is the study of the Good, for which he gives the image of the sun. So he has drawn a line, so to speak, twice: one distinguishing the lovers of beautiful things from the lovers of the vision of Beauty itself, the other distinguishing the realm of the visible from that of the intelligible, though we are not told what that means. That is the job of the Line of Knowledge.
Socrates’s treatment begins with a line drawn according to any proportion and subdivided by the same proportion. We are invited to move from looking in the light of its visual presence to “turning our heads around,” that is, reflecting. If we do so, we may come to see “intellectually” that, no matter what proportion we take, the central segments will always be equal. What we discover is a geometric theorem. Socrates then asks us to reflect metaphorically, something we have been accustomed to doing from the very beginning by thinking in terms of the metaphorical pairs up/down, light/dark. Such reflection is one of the basic features of poetry, which is thus a kind of intellectual activity, but one tied to imagery. The philosophic task is to get beyond images to the intelligible.
The Line is taken to stand for the different relations between states of mind and manifest objects, arranged from lowest to highest. On the side of the objects we have images, then things that produce the images (both manifest through sensation), then mathematical objects (the theorem we grasped when reflecting upon the visible line), and then the level of what Socrates calls “Forms” (the Greek term is eidos, from which we got the expression “eidetic features” in “Phenomenology of the Mailbox”). The level of Forms is the level of philosophic reflection. We are invited to think about the eidetic differences between a visible object (the drawn line) and an intelligible object (the theorem), between the objects of sight and the objects of insight or intellection. Socrates places the level of the sensory (of which the visible is an instance) under the general heading of “Becoming” (Greek genesis), noting that everything sensible and indeed our own life is subject to change: it exists in time. The upper levels (mathematics and philosophy) are placed under the general heading of “Being” or “Beingness” (Greek ousia). The drawn line that I see with my eyes was generated and will be destroyed. It appeared in a stretch of space within a span of time. But the theorem, and the Forms involved in theorems and things that are their instances, are not limited to a given span of time or stretch of space and thus confined to an individual instance: they apply whenever and wherever their instances are found. They exist as in some way eternal: they do not come into being and pass out of being, they just are.10
This might seem rather juiceless, but what it helps us to see better are the levels of our own soul revealed in our conscious life. At the sensory level we are immersed in segments of space and time; at the intellectual level we transcend such immersion and grasp intelligible constants that hold anytime and anyplace their instances are found. At the sensory level we are immersed in the biological desires evoked by sensory objects; at the intellectual level we are moved by deeper desires. This determines what is truly “up” in life: our relation to the eternal, to what is beyond time. When we begin to uncover the eternal relations, we stand more and more “in the light.”
The cave condition is not only one of being chained by nature to sensations, it is being chained by culture to opinions (the realm of doxa or “how it seems” or opinion) that may or may not be correct. Traditional doxa provides the basic measures of truth and value without itself being subjected to measure. Plato’s work attempts to find a measure beyond cultural opinion.
4.
But the deeper point is to get us to reflect further, because the aim is to get us to see something of what Socrates calls “the Good,” the “Sun” of the intelligible world and the ultimate aim of philosophy, the final “Up,” the “Top of the Cosmos.” He asks us to think of geometric procedure as an aid. Geometry proceeds, not only by piecemeal insights—such as we might have gained by our initial reflection upon the proportionately drawn line. If you can think back to geometry classes, you will note that geometry has already moved “up” from geometric theorems to a few axioms and postulates, and then “down” by logical deduction to prove the theorems, linking them together in a single coherent whole in the system of geometry first developed by Euclid. Socrates suggests that we could move “up” further from the few axioms and postulates. What could that mean? It means moving from the few principles of each science toward “the One,” the single principle of all intellectual development. Socrates called the Good “the principle of the Whole.” It is what generates intellectual “light.”
To see what that might be, think of what intellectual understanding is—as distinct from sensory experience. Consider geometry again. It began as geo-metria, that is, “earth measurement.” Metric regularities were discovered by builders through trial-and-error methods. Just as they carry an assortment of tools lying randomly in their tool bags, so they carry an assortment of metric regularities “lying randomly” in their minds. But what geometric science did was demonstrate the underlying intelligible unity of the whole metric region of experience. What is most surprising is that by pure deduction one could not only unify already discovered regularities, one could deduce not yet observed regularities without even looking or needing to look! But what is most startling—and remains so—is that the demonstration takes place solely in the mind through an act of reflective withdrawal from looking at and manipulating the “outer world.” One moves “inward” and “upward” from the “outside” spatiotemporal world up to the “eternal” world of underlying intelligible coherence. There is a movement from scattered multiplicity to unified wholeness.
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