reason is in fact eternal and immutable.

Do you follow, Sophie? Then along comes Plato. He is concerned with both what is eternal and immutable in nature and what is eternal and immutable as regards morals and society. To Plato, these two problems were one and the same. He tried to grasp a “reality” that was eternal and immutable.

And to be quite frank, that is precisely what we need philosophers for. We do not need them to choose a beauty queen or the day’s bargain in tomatoes. (This is why they are often unpopular!) Philosophers will try to ignore highly topical affairs and instead try to draw people’s attention to what is eternally “true,” eternally “beautiful,” and eternally “good.”

We can thus begin to glimpse at least the outline of Plato’s philosophical project. But let’s take one thing at a time. We are attempting to understand an extraordinary mind, a mind that was to have a profound influence on all subsequent European philosophy.

The World of Ideas

Both Empedocles and Democritus had drawn attention to the fact that although in the natural world everything “flows,” there must nevertheless be “something” that never changes (the “four roots,” or the “atoms”). Plato agreed with the proposition as such—but in quite a different way.

Plato believed that everything tangible in nature “flows.” So there are no “substances” that do not dissolve. Absolutely everything that belongs to the “material world” is made of a material that time can erode, but everything is made after a timeless “mold” or “form” that is eternal and immutable.

You see? No, you don’t.

Why are horses the same, Sophie? You probably don’t think they are at all. But there is something that all horses have in common, something that enables us to identify them as horses. A particular horse “flows,” naturally. It might be old and lame, and in time it will die. But the “form” of the horse is eternal and immutable.

That which is eternal and immutable, to Plato, is therefore not a physical “basic substance,” as it was for Empedocles and Democritus. Plato’s conception was of eternal and immutable patterns, spiritual and abstract in their nature that all things are fashioned after.

Let me put it like this: The pre-Socratics had given a reasonably good explanation of natural change without having to presuppose that anything actually “changed.” In the midst of nature’s cycle there were some eternal and immutable smallest elements that did not dissolve, they thought. Fair enough, Sophie! But they had no reasonable explanation for how these “smallest elements” that were once building blocks in a horse could suddenly whirl together four or five hundred years later and fashion themselves into a completely new horse. Or an elephant or a crocodile, for that matter. Plato’s point was that Democritus’ atoms never fashioned themselves into an “eledile” or a “crocophant.” This was what set his philosophical reflections going.

If you already understand what I am getting at, you may skip this next paragraph. But just in case, I will clarify: You have a box of Lego and you build a Lego horse. You then take it apart and put the blocks back in the box. You cannot expect to make a new horse just by shaking the box. How could Lego blocks of their own accord find each other and become a new horse again? No, you have to rebuild the horse, Sophie. And the reason you can do it is that you have a picture in your mind of what the horse looked like. The Lego horse is made from a model which remains unchanged from horse to horse.

How did you do with the fifty identical cookies? Let us assume that you have dropped in from outer space and have never seen a baker before. You stumble into a tempting bakery—and there you catch sight of fifty identical gingerbread men on a shelf. I imagine you would wonder how they could be exactly alike. It might well be that one of them has an arm missing, another has lost a bit of its head, and a third has a funny bump on its stomach. But after careful thought, you would nevertheless conclude that all gingerbread men have something in common. Although none of them is perfect, you would suspect that they had a common origin. You would realize that all the cookies were formed in the same mold. And what is more, Sophie, you are now seized by the irresistible desire to see this mold. Because clearly, the mold itself must be utter perfection—and in a sense, more beautiful—in comparison with these crude copies.

If you solved this problem all by yourself, you arrived at the philosophical solution in exactly the same way that Plato did.

Like most philosophers, he “dropped in from outer space.” (He stood up on the very tip of one of the fine hairs of the rabbit’s fur.) He was astonished at the way all natural phenomena could be so alike, and he concluded that it had to be because there are a limited number of forms “behind” everything we see around us. Plato called these forms ideas. Behind every horse, pig, or human being, there is the “idea horse,” “idea pig,” and “idea human being.” (In the same way, the bakery we spoke of can have gingerbread men, gingerbread horses, and gingerbread pigs. Because every self-respecting bakery has more than one mold. But one mold is enough for each type of gingerbread cookie.)

Plato came to the conclusion that there must be a reality behind the “material world.” He called this reality the world of ideas; it contained the eternal and immutable “patterns” behind the various phenomena we come across in nature. This remarkable view is known as Plato’s theory of ideas.

True Knowledge

I’m sure you’ve been following me, Sophie dear. But you may be wondering whether Plato was being serious. Did he really believe that forms like these actually existed in a completely different reality?

He probably didn’t believe it literally in the same way for all his life, but in some of his dialogues that is certainly how he means to be understood. Let us try to follow his train of thought.

A philosopher, as we have seen, tries to grasp something that is eternal and immutable. It would serve no purpose, for instance, to write a philosophic treatise on the existence of a particular soap bubble. Partly because one would hardly have time to study it in depth before it burst, and partly because it would probably be rather difficult to find a market for a philosophic treatise on something nobody has ever seen, and which only existed for five seconds.

Plato believed that everything we see around us in nature, everything tangible, can be likened to a soap bubble, since nothing that exists in the world of the senses is lasting. We know, of course, that sooner or later every human being and every animal will die and decompose. Even a block of marble changes and gradually disintegrates. (The Acropolis is falling into ruin, Sophie! It is a scandal, but that’s the way it is.) Plato’s point is that we can never have true knowledge of anything that is in a constant state of change. We can only have opinions about things that belong to the world of the senses, tangible things. We can only have true knowledge of things that can be understood with our reason.

All right, Sophie, I’ll explain it more clearly: a gingerbread man can be so lopsided after all that baking that it can be quite hard to see what it is meant to be. But having seen dozens of gingerbread men that were more or less successful, I can be pretty sure what the cookie mold was like. I can guess, even though I have never seen it. It might not even be an advantage to see the actual mold with my own eyes because we cannot always trust the evidence of our senses. The faculty of vision can vary from person to person. On the other hand, we can rely on what our reason tells us because that is the same for everyone.

If you are sitting in a classroom with thirty other pupils, and the teacher asks the class which color of the rainbow is the prettiest, he will probably get a lot of different answers. But if he asks what 8 times 3 is, the whole class will—we hope—give the same answer. Because now reason is speaking and reason is, in a way, the direct opposite of “thinking so” or “feeling.” We could say that reason is eternal and universal precisely because it only expresses eternal and universal states.

Plato found mathematics very absorbing because mathematical states never change. They are therefore states we can have true knowledge of. But here we need an example.

Imagine you find a round pinecone out in the woods. Perhaps you say you “think” it looks completely round, whereas Joanna insists it is a bit flattened on one side. (Then you start arguing about it!) But you cannot have true knowledge of anything you can perceive with your eyes. On the other hand you can say with absolute certainty that the sum of the angles in a circle is 360 degrees. In this case you would be talking about an ideal circle which might not exist in the physical world but which you can clearly visualize. (You are dealing with the hidden gingerbread- man mold and not with the particular cookie on the kitchen table.)

In short, we can only have inexact conceptions of things we perceive with our senses. But we can have true knowledge of things we understand with our reason. The sum of the angles in a triangle will remain 180 degrees to the end of time. And similarly the “idea” horse will walk on four legs even if all the horses in the sensory world break a leg.

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