Descartes' Cogito

         My personal view of history is summed up in the phrase "avalanche theory." If you have ever wondered why the modern world has the shape it does, consider the following metaphor. Imagine a mass of snow and ice perched at the top of a mountain. Just below this mass, there is a charming and harmonious forest. Below that, there is a perfectly organized village, consisting of excellent houses, wonderful factories, schools, hospitals, restaurants and several very nice pubs. Then comes the avalanche. This huge mass of snow and ice carries the forest into the village, mixes everything up and strews everything randomly across the lower hillsides. Now imagine that you are walking across the aftermath, and you see a duck sitting in a chamberpot. You imagine it must have a good reason for sitting in the chamberpot, but when you ask, the duck begins her explanation with "well, there was this avalanche, see..."
         RenĂ© Descartes did not set out to write philosophy. He set out to write an astronomy text, but there was this avalanche.......
         To understand Descartes's situation, you have to understand church politics at the time of the Reformation. The Catholic church dominated Europe in much the same way that radical Islam dominates many middle eastern and African countries today. Europeans tended to accept church authority because they believed that human dignity was dependent, not on individual achievement, but on being some kind of cog in the machinery of a great plan being carried out by some very powerful other individual. People thought that their lives could only have meaning if they were playing some part in god's plan for the universe. Since the church was thought to be god's plan in action, supporting the meaning of one's own life meant supporting the church. From the church's perspective, anything that threatened the perceived connection between human dignity and god also threatened the church's ability to carry out gods plan. Basically, the vast majority of churchmen believed, one way or another, that anything that criticized the church's view of reality threatened the church's ability to save the souls of the human race. And they could get really nasty about stuff like that.
         The biggest support that the church had was the belief that the Earth was the center of the universe. The main argument for the existence of god at that time was the centrality of the Earth in the universe. As far as anybody could tell, absolutely everything else revolved around the Earth, making the Earth the exact center of the universe. It was held that this fact could only be explained if we assumed that some powerful being had created the universe purely as a place in which to put human beings. This argument made sense to just about everybody at the time and, not unreasonably, it was heavily promoted by the church.
         Enter Galileo. Well, not exactly. Galileo could actually have announced his discovery in a way that avoided problems with the church. He had allies and supporters who were willing to defend him, and he had available to him a way of presenting his results that would have allowed the church to go on saying that the Earth was the center of the universe. Galileo had an option that is not available to modern thinkers. Medieval thinkers had a way of reconciling contradictory beliefs by saying that one belief is true, and then the other merely appears to be true. This was known as "saving the appearances," and it had kept a lot of people out of trouble with the church. It probably would have worked for Galileo too. He could have announced his discovery of the moons of Jupiter, announced that they appeared as if they revolved around Jupiter but, of course, in reality, everything revolves around the Earth. He could have introduced his model of the solar system, in which almost everything revolves around the Sun, and everything else revolves around things that revolve around the Sun, and gotten away with it if he had simply said "if we think about it this way, it makes the appearances come out right. But it's just an imaginary model to make calculations easier. In actual fact, as we already know, everything in the universe revolves around the Earth."
         But Galileo didn't do that. Galileo didn't try to avoid trouble by "saving the appearances." Galileo said simply that this was the way it was. And this is one of the most important things about Galileo. He represents what for many people was a radically new way of thinking. One of the most important parts of the development of thought is the stripping away of bad ways of thinking and, by his refusal to save the appearances, Galileo made that way of thinking much less intellectually respectable. Of course, he paid a price for this, and so did other people. After Galileo's trial and punishment, the anti-scientific elements of the church were much more active, and it became much more dangerous to do the kind of astronomy that seemed to conflict with church doctrine.
         And Descartes wanted to do the kind of astronomy that conflicted with church doctrine. He accepted the Copernican model of the heavens, and he wanted to write a book saying so. I don't think that Descartes was worried about being punished so much as worried about the apparent conflict between religion and philosophy. I think he saw that the new astronomy demolished the old picture of the Earth at the center of the universe, and that this meant that the church's main argument for the existence of god was vanishing into thin air, but he also thought that there were other philosophical ways to prove the existence of god. I think he thought that if he could show that philosophy was not only compatible with religion, but actually supported it, he would not only shore up the church's position, but also make the world safe for philosophy.
         And once the world was safe for philosophy, he would be able to sit down and write that astronomy book.
        
         Descartes's Method.
        
         Descartes was a mathematician, and he was probably very comfortable with the rigorous reasoning needed to do serious work in mathematics. When Descartes turned to philosophy, he did not find the kind of rigorous reasoning he was used to. In fact, philosophy was a mess. Mathematicians like to derive things from first principles, and Descartes didn't see anyone in philosophy who had done anything like this. So he set out to rebuild philosophy from the ground up with the same kind of foundation and rigor as mathematics.
         In one respect, Descartes' philosophical method was very much like mathematics. But in another respect, Descartes' philosophical method was very much unlike mathematics.
         The way that Descartes' method was like mathematics was that he tried to do the same kind of step-by-step reasoning that mathematicians do. In mathematics, a thinker basically starts with some set of propositions, such as "parallel lines never meet," and then tries to logically deduce other propositions from that first set."Deduce" is a special word. When one proposition is "deduced" from another, that means that the second proposition cannot possibly be false unless the first proposition is also false. This means that, if the first proposition is true, the second proposition absolutely has to be true too. This means that, once you prove something in this way, that new thing you have proved can be used to prove other things. Plane geometry is like this. It starts with a small set of "axioms," or statements that are just assumed to be true, and goes on to deduce things from those axioms, and then other things from those things, until a whole bunch of stuff has been proved, all of it following from the original axioms. The first interesting thing about this is that, if those axioms are true, absolutely everything deduced from them must also be true.
         The second interesting thing about plane geometry is that the axioms themselves have not been proved. They are just assumed. And this is how Descartes' philosophical method is different from mathematics. He did not want to start off by assuming anything. He wanted to start off with something that had been proved with absolute certainty, so that his philosophical system would have an absolutely firm foundation upon which to build a series of absolutely certain conclusions.
         The reason I mention mathematics in that, in mathematics there are things that may be true, but which cannot be treated as true until they have been proved. Thus Descartes intends to say that a lot of stuff is true, but he's not going to say that anything is true, until he is sure that he has proved it. However, once he thinks that he has proved something, he is going to then use that thing to prove other stuff.
         Descartes had to start from the position that he knew nothing. He had to take this position because, when he surveyed everything that other people considered "knowledge," he found nothing that was not at least speculative, and much that was absolutely unsupported. Descartes wanted to build human knowledge on a foundation of absolute certainty, and he found nothing in the existing structure of human belief that could possibly be considered to have that level of certainty.
         Descartes considered, and rejected the possibility of using our senses as the foundation of knowledge. Human senses are inherently unreliable. Not only do the senses provably make a lot of mistakes, we can never be absolutely sure that we are not making some mistake that we don't know about. Furthermore, humans often have very vivid and convincing dreams, and there is no way to tell whether or not you are dreaming at any given time. You could, for instance, be dreaming that you are reading this essay right now.
         Weirdly, Descartes doesn't even think that he can found a structure of real knowledge in mathematics, even though mathematical calculations might seem to give the kind of absolute certainty he seeks. His reasoning seems to be that he cannot be certain of elementary mathematical operations because his senses could be fooling him even about such simple operations as adding five and seven. I find this idea so weird that I don't even want to talk about it.
         To make his ideas easier to understand to his readers, Descartes creates a very important and powerful thought experiment. He creates the idea of an "Evil Genius," or malevolent spirit who is capable of deceiving him about absolutely any perception he might have. Descartes is not saying that such a being exists. Rather he is offering us a way to think about epistemological issues in a much more concrete fashion. Consider again the idea of using our senses as a foundation for knowledge. To most people, it seems clear that at least some of our sensory experiences are absolutely certain. How could you doubt that you are sitting in a chair right now? How could you doubt the existence of the computer from which you get these words? But Descartes's point is exactly that you can doubt those things, and the Evil Genius hypothesis makes it clear that you can doubt them.
         Do you have any way to prove that a malevolent spirit is not playing with your senses right now? Do you have any way to prove that an Evil Genius is not feeding you false sensory experiences? Can you prove that an Evil Genius isn't making you imagine that you are sitting in a chair, looking at a computer screen? If you cannot prove that your present experiences are not being faked by a superpowerful deceiver, then it is logically possible that those experiences really are fake. And if it is logically possible that those experiences are fake, it is logically possible that some or all of your present beliefs are false. At this point, I want to remind you of Descartes's mathematical approach. He is not saying that any of your beliefs are false. And he is not saying that you will never be able to prove any of them true. For Descartes, it is perfectly possible that most, perhaps even all of your beliefs will turn out to be true. All he is saying is that nothing has been proved yet. So, while it might turn out that the senses are reliable after all, they cannot provide the absolutely certain starting point he is looking for.
         Descartes uses the idea of the Evil Genius to make his method of doubt easier to understand. He asks, can we think of any statement that cannot logically be false? That is, can we think of anything that we could believe that the Evil Genius could not be fooling us about? Imagine that you are trying to come up with a belief that cannot logically be doubted. You take your belief in your own right hand, and recognize that, if there was an evil genius, she could be supplying an illusion of a right hand, so it is logically possible that you do not actually have a right hand. And so on, for just about anything you can think of.
        
         Descartes's Argument
        
         Descartes and then asks us to think about what would happen if you try to apply this kind of reasoning to your own inner experience. Try to doubt that you are doubting things. Try to doubt your own existence. Or, try to doubt that you are trying to doubt your own existence. This is getting weird, isn't it? Descartes thinks that this kind of reasoning is not just bizarre, it's logically impossible. Could you be doubting your own existence if you didn't exist? For Descartes, something must exist to be doing the doubting. Specifically, for Descartes, he must exist in order for him to be able to doubt his own existence. Therefore, he concludes that it is not logically possible for him to not exist, at least while he's doubting. In fact, for Descartes, his own thoughts are conclusive evidence of his own existence. That's why his slogan is "Cogito Ergo Sum," which basically means "I think, therefore I exist."
         Descartes now has the absolutely certain fact he was looking for, and on this fact he attempts to build an entire philosophical system. This argument goes step-by-step, like a mathematical proof, and when one thing is proved, it then becomes available as a foundation for other things. Let's follow along with Descartes's argument.
         At this point in the argument exactly one thing is proved. Descartes exists. He doesn't necessarily exist as a human body living in a physical world. He might, at this point, exist as a disembodied mind which also might be absolutely the only thing that exists at all. We just don't know.
         Descartes then also points out that the contents of his mind must exist as well, at least as ideas in his mind. An object does not have to exist in real life in order for it to exist as an idea in your mind. For instance, consider the idea of five ton octopuppy. It weighs five tons. It has big, puppy dog eyes, adorable floppy ears, and eight massive fuzzy tentacles. And it attempts to destroy Cleveland, but is distracted at the last minute by a huge stick thrown into Lake Michigan. (Which is probably nowhere near Cleveland.) Okay, octopuppies don't exist, but you do have the idea in your mind now, right? An idea in your mind may not describe anything outside your mind, but it is absolutely certain that it exists inside your mind. As an idea.
         Descartes then asks where the ideas in his mind came from. Although, at this point, it is possible that the world outside his mind does not exist, it is also possible that it does exist, and that it is the source of all Descartes's ideas. Descartes also considers another possibility. He thinks that, whether the outside world exists or not, it is also possible that at least some of his ideas are what is called "innate." That is to say, they are ideas that existed in his mind before he was exposed to the outside world. (You may remember this idea from our discussion of Plato.) (You'd better!)
         Descartes thinks that at least some of his ideas are innate. He reasons that, if he can prove that his mind contains some idea that absolutely could not have come from an external world, those ideas that could not have come from the external world would have to be innate. He sees only two possible sources for ideas. The external world, which may or may not exist, and innateness. (Innatitude?) If it turns out that some idea could not possibly have come from the external world, it absolutely has to be innate. And that, of course, would prove the existence of innate ideas.
         As far as I can make out, Descartes thinks that at least three ideas are innate. Those ideas are "sameness," "substance" and "perfection." For each of these ideas he gives reasons why it has to be innate, and then, from the last one, he goes on to make some rather startling further conclusions.
        
         The Wax Argument
        
         Enter the wax. Descartes uses his example of the melting wax to establish the existence of an innate idea. This would not just be an important part of his overall system, but it would also kill the theory of empiricism stone dead. Empiricism is the doctrine that absolutely all knowledge can be derived from the senses. If Descartes can show the existence of at least one idea that cannot be derived from the senses, he will have shown that not all knowledge can be derived from the senses, and that therefore empiricism is false.
         The argument he uses is interesting. By which I mean that it is a bad argument, but it is a little bit hard to say why it is bad. Because this is a philosophy class, I'm going to try to explain his argument in a way that makes it somewhat less than obvious how it is bad, which will give you a chance to practice your critical reading skills, if you want to. So as you read the following argument, think about each part of it as you go, and try to figure out if it is logically good or not. Some parts will be good, but at least one part will be bad. See if you can figure out which one it is.
         First, let me tell you something about logic. Sometimes you are allowed to make assumptions, and other times you are not. What you are allowed to assume depends on what you are trying to prove. For instance, if you were trying to prove that monkeys can fly, you would not be logically allowed to start out by assuming that they have wings. However, if you are trying to prove that monkeys cannot fly, you can start out by assuming they have wings, or even that they can fly! You can start out by making these assumptions because they logically contradict the point you will eventually make. If assuming that monkeys can fly inevitably leads to the conclusion that they cannot, then it is logically okay to start out by assuming they can. Similarly, if Descartes was trying to prove that the senses can be the source of knowledge, he cannot start out by assuming that the senses are reliable. But if Descartes is trying to prove that there are ideas that the senses cannot be the source of a certain idea, then it is perfectly okay for him to begin by assuming that the senses are reliable.
         Descartes starts with a piece of honeycomb. This is a piece of beeswax organized into hexagonal cells. It is yellow, hard, rigid, waxy, tastes of honey, and smells of bee......... stuff. He has this wax in a room that is heated by a fire in the fireplace on the other side of the room. The wax starts out in the coldest part of the room. In this part of the room, is cold, hard, rigid, tasty and smelly.Now suppose that Descartes puts the wax down on a table next to several other items, such as an inkwell, a book, a matchlock pistol, and a statue of Charlemagne made entirely of cheese. Descartes then goes into another room for some wine, and while he is gone, the chambermaid comes in and rearranges the table so that the inkwell ends up where the wax was in the wax ends up where the book was, and so on. When Descartes comes back into the room, how does he tell which of the objects on the table is his wax? Well, he uses his eyes to look for something yellow with a pattern of repeating hexagons. He uses his fingers to see if this thing is hard, rigid and waxy feeling. He uses his nose to..... well, you get the picture. Descartes uses his senses to tell him that this is the same object that he left on this table with the other items. At this point, Descartes's sensors are capable of telling him that it is the same piece of wax.
         Descartes then moves the wax progressively closer and closer to the fire. As the wax gets closer to the fire, its sensible properties begin to change. It begins to get soft. It begins to get malleable. It starts to lose its shape. It loses its smell. It stops tasting of honey. It loses its color. Finally, it is nothing but a puddle of clear liquid on the hearth. Now, imagine that Descartes asks you whether or not you can use your senses to tell whether or not this is the same thing that it was at the start of this process. If you say you can, he asks you what piece of sensory information tells you this is the same object? It can't be the shape, because the shape here is different. It can't be the hardness, because the object is no longer hard. It can't be the rigidity, because this object is hardly rigid. It can't be the color, because the color's not the same, and so on. Descartes says that your sensory experience of this object cannot possibly be what is telling you that it is the same object that was once hard, rigid and yellow.
         Descartes then points out that there are only two possible sources for any idea. The idea can be innate, or it can come from the senses. The idea that this is the same wax cannot come from the senses, so it must be innate. Even if we assume that the senses are reliable, it turns out that there is something that we know that the senses cannot possibly tell us. The only other possible source for this knowledge is that it is innate, so that must be where the idea comes from. If at least one idea is innate, then it is not true that absolutely all knowledge can be derived from the senses. If it is not true that all knowledge can be derived from the senses, then empiricism is false.
         Now, can you see anything wrong with this reasoning?
        
         Substance.
        
         The idea of "substance" is an interesting one in many ways. First, it is interesting how the usage of this word has changed over the years. Nowadays, "substance" is taken to mean "stuff," as in "I have this strange substance on the bottom of my shoe" or "take a look at this weird substance." When the word "substance" was coined, it was not something you could find on the bottom of your shoe, or even take a look at at all. "Substance" meant "that which stands under," and it referred to something that could not be seen, or touched, or tasted, or even experienced in any way whatsoever. Substance was the unperceivable thing that held together all of the properties of an object.
         And that is the second interesting thing about substance. Philosophers in Descartes's time and before often believed in the existence of unperceivable things. Substance was the most important of these things. Just about every philosopher Aristotle to Descartes believed in substance. They believed in substance because they thought it was impossible to explain the existence of objects without the existence of substance.
         The argument for substance goes something like this. Say you pick up a coffee cup and ask what it is that makes this coffee cup the thing that it is. is it the color? No, because you could take away that color, and it would still be the same coffee cup. Is it the weight? No, because it could have a different weight, and still be the same coffee cup. Is it the shape? No, because changing the shape wouldn't make it a different thing. And so on through all the sensible properties of the cup. Aristotle reasoned that there must be something that made the coffee cup the thing that it is. He reasoned that it could not be any of its sensible properties, because any of those could be changed without making it a different object. Since it wasn't anything that could be sensed, it must be something that could not be sensed, and he named this intangible thing "substance."
         For Descartes, the concept of substance provided another example of an innate idea. His argument was as follows. We know that substance exists, because objects could not be the objects that they were without it. But substance is absolutely intangible. We cannot sense it in any way. So our knowledge of substance must come from some source other than the senses. The only other way we could have the idea of substance is that it is innate, so "substance" is another example of an innate idea, and is therefore another independent argument that empiricism is false.
         Now, can you see anything wrong with this reasoning?
        
         Solipsism.
        
         It is worth taking a moment here to think about what Descartes has proved at this point. (If he has proved ) Descartes thinks that he has proved, for certain, that he exists, at least as a mind, that his mind is furnished with ideas, and that at least some of these ideas are innate. That's it. At this point in the reasoning process, the only actual existence that Descartes has proved is his own. This means that it is still logically possible that the only thing that exists is Descartes himself. If Descartes stopped at this point, and asserted that he was in fact the only thing that existed, he would be asserting the doctrine of "solipsism." This is the doctrine that only you exist. Every individual solipsist asserts a slightly different doctrine. If Jack is a solipsist, Jack holds that only Jack exists. But if Jill is a solipsist, Jill is asserting that only she exists, which means that she is also asserting that Jack doesn't exist. Solipsism is thus interesting in that people who hold the doctrine must necessarily disagree with each other. If you are a solipsist, you will think that you exist, and I don't. Whereas, if I am a solipsist, I will think that I exist, and you don't.
         Solipsism might be thought of as a dilemma for Descartes. We might assume that Descartes does not want to solipsism to be true. Descartes wants to prove that a world exists external to himself, and so he has to figure out a way to prove this with the same certainty that he has proved his own existence.
        
         Perfection.
        
         The "concept of perfection" argument is Descartes's answer to solipsism. He begins by pointing out, quite correctly, that his mind contains this concept of perfection. Then he asks where this idea could possibly have come from. He says that it could not possibly have come from the senses because there is nothing in the world that is perfect. His reasoning is that if the senses supplied us with an idea, they would do so by having a sensory experience of a thing that had that property. If the senses supplied us with the idea of "green," they would do so by having an experience of a green thing. If the senses supplied us with the idea of "square," they would do so by having a sensory experience of a square thing. And if the senses supplied us with the idea of "perfection," they would do so by having an experience of a perfect thing. But if you look very carefully at the world, you will see the world does not actually contain any perfect things. So, the concept of perfection cannot come from the senses, and so it must be innate.
         Descartes then takes his argument a step further than he did for sameness and substance. He asks how the idea of perfection could ever have become innate in his mind. His rule of logic is that ideas can only come to be innate in a mind by contact with things they are ideas of. By this rule, the mind can only have an innate idea of "green" by contact with a green thing. So Descartes reasons that his mind must at one time have had contact with a perfect thing, and since you can't have actual contact with things that didn't exist, a perfect thing must exist.
         Descartes reasons that this perfect thing cannot be himself, for the simple reason that he is not perfect. I personally find it a little bit disturbing that Descartes thinks himself imperfect because he doubts. For Descartes, a perfect person would have no doubts whatsoever. When you consider that all of the greatest evils of history, such as the Holocaust and the Armenian genocide, were committed by people who had absolutely no doubts whatsoever, I find it hard to believe that the possession of the ability to doubt should be counted as an imperfection. Still, Descartes isn't perfect, so the concept of perfection did not come from himself, and he cannot be this perfect being.
         In fact, Descartes believes that there is exactly one possible source of the concept of perfection. He believes that there is exactly one possible perfect being. This would be a being that is perfectly powerful, perfectly knowing, and perfectly good. At this point, Descartes defines this perfect being purely in terms of reasoning about what a perfect being would be like. A perfect being would not have any weaknesses, a perfect being would not have any blind spots, a perfect being would not have any meanness or cruelty, and so on. In fact, Descartes defines a perfect being as one that lacks anything they could logically be considered an imperfection. And, because Descartes has the concept of perfection, this perfect being necessarily exists.
         Descartes decides to call this perfect being "God." Or, to put it another way, he claims that this argument proves that God exists. This is important in terms of Descartes's overall project of proving the compatibility of philosophy and religion. If philosophy, properly understood, logically proves the existence of God, then nothing else that is genuinely proved by philosophy will ever contradict the existence of God. For Descartes, this is all he really needs to show the compatibility of philosophy and religion.
         Thus Descartes believes that he has escaped solipsism. He has not only proved his own existence, he has proved the existence of one other being, namely God. And, he thinks, he has proved the existence of God with absolute certainty.
         Now, can you see anything wrong with this reasoning?
        
         The Reliability of the Senses.
        
         At this point in the argument, Descartes has only proved the existence of two objects, himself and God. But once he has proven the existence of God, he can use this to prove other things. His argument is interesting because it is rooted in the definition of God he was logically compelled to use in the previous stage of his argument. If God was not defined as an absolutely perfect being, the previous stage of his argument could not work at all. And it is from the same definition of God as an absolutely perfect being that he draws all the rest of his conclusions.
         The first thing he does is to use his definition of God to prove that there is no Evil Genius. This is based on the fact that a perfectly omnipotent, omniscient, and beneficent being would not allow such a deceptive being as the Evil Genius to have free reign over human beings. A perfect being would not allow such deceptiveness. Think about it, suppose you have two acquaintances, one of whom is always deceiving you, and the other is knowingly letting it happen. Would you consider the second person to be a perfect being? I certainly wouldn't. So there is no Evil Genius, and no being actively trying to systematically deceive us.
         Next, Descartes asks if a perfectly good being would allow us to have senses that could be systematically wrong about everything? Well that would be a cruel trick, wouldn't it? A perfectly beneficent being would not allow us to be systematically wrong about everything, so we don't have the kinds of senses that can be systematically wrong. In fact, we must have the kind of senses that, if used properly and carefully, can eventually give us accurate information. It god allowed us to have senses that could not generate accurate information, then God would not be perfectly benevolent.
         So, from the certainty of his own existence and the concept of perfection in his own mind, Descartes deduces the existence of God and the ultimate reliability of the senses.
         Now, can you see anything wrong with this reasoning?
        
         The Existence of the World.
        
         If our senses are ultimately reliable, then it follows that those things that we are most certain of must actually be true. The things we are most certain of our of course the things for which we have most evidence, and the things that are most reliably observed when we are most careful to observe correctly. Chief among these things is the world outside of our own heads. If it turned out to the world outside our own heads did not exist, that would prove that our senses were profoundly unreliable, which in turn would prove that the perfect being did not exist, which in turn would prove that Descartes's mind does not contain the concept of perfection. But it is absolutely certain that Descartes's mind contains the concept of perfection, and so it is absolutely certain that the perfect being exists, and so it is absolutely certain that our senses are not profoundly unreliable, and so it is absolutely certain that the external world exists.
         There is a subtle but profound difference between Descartes's rationalism and empiricism. Empiricism starts by assuming that the senses can give us knowledge. Empiricism does not try to prove absolutely that the senses are reliable. Instead, it tries to prove that the senses are the only possible source of knowledge, and goes from there. This means that, in empiricism, every piece of knowledge gotten from the senses is at least a little bit uncertain. Nothing is absolutely certain in empiricism, not even that which is supported by the very best evidence of the senses. The situation is different in Descartes's rationalism. If Descartes's argument for the reliability of the senses is correct, then at least some sensory information is absolutely reliable. This means that, for Descartes, at least some sense-based knowledge is absolutely certain. So, weirdly, the system in which knowledge is not ultimately based on the senses is also the only system that says that sense-based knowledge can be absolutely certain. Weird.
         So there you have it. Descartes thinks that he has given a series of proofs that is as logically rigorous as a series of proofs in mathematics. As he sees it, he proves his own existence and from that he proves the existence of innate ideas. He proves that the concept of perfection has to be innate, and from that proves that god exists. From the existence of god, he proves the reliability of the senses. And finally, from the reliability of the senses, he proves the existence of the external world. Impressive, huh?
        
         A Moment of Reflection.
        
         At this point, I would like to invite you to take the time to go over your notes on this reading and everything else you have read so far for this module. Look carefully at Descartes's reasoning and try to figure out which parts of his reasoning are logically solid, and which parts might have problems. You don't necessarily have to find all of Descartes's mistakes. Lots of people had no idea that Descartes had made any mistakes at all. Lots of prominent philosophers thought that his reasoning was perfectly fine. Still, it is very important to have practice in attempting to figure out where chains of reasoning go wrong, and so I think it is important for you to take at least a few minutes to think over Descartes's logic.
         Ideally, you would do this over a period of days. You would work over Descartes's logic thoughtfully in your own mind, and make new notes of new ideas as you thought of them. You would let these issues sit in the back of your mind as you had a cup of coffee, or drove to work, or wrestled an alligator, so that new ideas and insights could rise naturally to the surface.
         But you probably don't have time for that. So just struggle with Descartes's reasoning as best you can in the time you have before you go on to see what I have to say about problems with Descartes's reasoning.
        
         Problems with Descartes's Reasoning.
        
         The most solid part of Descartes's argument is his "cogito ergo sum," but even that may have a subtle problem. Imagine that you are in a dark room by a floor that has a hole in it leading to another dark room. You cannot see anything, but you can put your hand through the hole to feel what is there. You do so, and you find your fingers get very wet. From this, you infer that there is water in the other room. Should you also logically infer that there is a bucket, or other container, holding the water? Before you say "of course," I want to point out that it is possible that you are in the international space station and that the water on the other side of the "floor" is in fact a large globule of water floating freely in zero gravity. In that case, there would be no bucket. So the fact that all you feel is water, and you neither see nor feel any container, means that you cannot logically infer that there is a bucket or any other container on the other side of the floor. Now think about what Descartes can logically infer from the existence of his own doubts and other ideas. Certainly, he can infer that a collection of thoughts exists, and he could reasonably call this a "mind." But can he infer anything beyond this? Can he infer the existence of a separate, independently existing thing that is not itself a thought, or collection of thoughts, but which contains Descartes's thoughts and keeps them together? I'll leave you to worry about this, because we're not going to deal with it this module. We will take this issue up later, when we deal with the work of David Hume.
         The wax argument purports to prove that the idea of "sameness" has to be innate. It tries to do this by showing that the senses cannot convey this idea. The argument relies on two claims. First, there is the claim that we know it is the same wax. Second, there is the claim that we could not have gotten this knowledge through the senses. But the claims cannot both be true. If our senses do not tell us that it is the same wax, how do we know? Remember when I asked you to imagine that Descartes identified his piece of wax after being out of the room for a few minutes? Did he really know that it was the same wax? It is in fact logically possible that the chambermaid broke his piece of wax and hurriedly replaced it with another piece of wax that she happened to have. Suppose also that Descartes had been distracted during his demonstration of moving the wax from one side of the room to the other, and the chambermaid had made the switch while he wasn't looking. Descartes would then believe that the puddle of liquid at the end of the process was in fact the same object that he had started with, but he would be wrong. The only circumstances in which Descartes could actually be certain that it was the same wax would be if he was paying careful attention the whole time, never allowed himself to be distracted: and followed the piece of wax through the entire process. But this means that the anyway Descartes could be certain that it was the same wax would be if he was paying attention to sensory information the whole time. And that means that the way he knows it is the same wax it is from sensory information. Yes, the puddle of liquid at the end of the process has no sensory features in common with the reading yellow honeycomb at the beginning, but as he watches the wax on its journey, Descartes can see that the object that was rigid a moment ago is just now a little softer, and that is certainly a piece of sensory information. In point of fact, the only way we ever know that an object is the same object that we saw before is from careful analysis of sensory data. So Descartes is simply wrong that he both knows that it is the same wax, and that information could not have come from sense data because the only way he could know it is the same wax, is if precisely that information does come from sense data.
         Imagine that Descartes is trying to demonstrate that substance exists and that our knowledge of its existence is not based on sense data. Suppose he starts by telling you that you already have the idea of "substance" in your mind. You deny this, and say that you had absolutely no conception of the idea before he mentioned it, and in fact found it a very weird idea that took a lot of getting used to. He claims that he can prove that you already have the idea of substance in your mind. You tell him, that he has to do it without referring to sense data. He says, "okay, look at this cup." You reply "you mean, consider the sense data we're currently getting of a cup-shaped patch of color, and so on?" At this point, Descartes finds that he cannot explain the idea of substance without referring to sense data. So then he tries a different tack. He asked you if you have the idea of existence. You reply that you have the idea of things that can be seen, touched and so on, and the word "existence" refers to things of this kind. He replies that it is impossible for things to exist as visible, touchable entities if there is not also an unseeable, untouchable thing holding all of those tangible properties together. You can then reply, that if that really is a logical rule, then the belief that substance exists is founded completely on sense data, and therefore, if we know substance exists, we do so by applying logic to sense data. This means that we can explain the existence of the concept of substance in our minds without having to think that the idea is innate. (And if it isn't really a logical rule, we have no reason to think that substance exists at all.)
         Descartes believes the concept of perfection cannot come from the senses, but he is wrong. Descartes believes correctly that there are no perfect objects found in nature. Things that appear to be perfect always turn out on closer examination to have small but real imperfections. Still, there are two ways that the concept of perfection can come from our senses. First, we can make mistakes. We can see something that appears to us to have no flaws, and from that get the idea that a perfect thing exists. Even if we lay to examine the object and find it to have flaws, we got the idea of perfection by seeing it without noticing any of the flaws. Second, we can use our imaginations. We can examine any object and imagine how it would be if it had no flaws. From this imaginative exercise, we can develop the concept of perfection. Thus, we do not need to have actual contact with an actually perfect thing to have the concept of perfection. Thinking about imperfect things will do just fine.
         As far as I can tell, these are the only serious flaws in Descartes's reasoning. Still, they are quite enough to knock down his arguments for innate ideas and the existence of god. And, ultimately, these kinds of mistakes and problems also knock down rationalism. This does not mean that Descartes's work was worthless. Quite to the contrary, he did not succeed in setting philosophy of an absolutely certain foundation, but his failure to set philosophy on the same kind of foundation as mathematics taught us an awful lot about reasoning. Philosophy can be done rigorously, but it cannot be done the way Descartes tried to do it. And I think this is one of Descartes's most important contributions to philosophy. He was an absolute genius, and so if he could not make rationalism work, nobody could.

Poor Quality Videos of My Lectures About Descartes
Rationalism and the quest for certainty
The method of doubt
The Wax, The God, and the External World
Descartes Rising 1    
Descartes Rising 2

Potential Exam Questions

Practice answering these exam questions after you have worked though all the readings and both quizzes.

The following questions are very much like the questions that will appear on the next exam. If you practice answering them without your notes, and then check your answers against your notes, you will be much better prepared for the exam.

Your answer should demonstrate that you understand all the logical relationships between all the relevant facts for that particular question. The deeper the understanding you demonstrate, the better your grade will be.

Many of the topics in this class involve doctrines that are mistakenly supported or, more interestingly, mistakenly criticized by others.

Understanding is best demonstrated by something like the following:
Explaining a doctrine clearly and completely, including all relevant details and nuances.
Explaining at least one criticism of that doctrine clearly and completely.
Explaining clearly and completely why that criticism fails. (This will usually involve showing that the critic has made some unfounded logical assumption, has mischaracterized or misunderstood the doctrine he is criticising, or has made some other logical or factual mistake.)

It is pointing out people's real logical mistakes that does the most to demonstrate your understanding of an issue, so do your best to follow the logic of these issues all the way out to the end.

If you're not sure how to address an exam question, at least try to fully explain and properly organize all the information relevant to the question. This will include a variety of ideas developed in response to the above questions in your personal reading and in class discussions.

I have added some hint questions to indicate the kind of things you should think about for your answer. The hint questions will not appear on the exam.

The Sample Questions

Explain Descartes's philosophical method and his justification for that method.
Why can't Descartes start by building on the structure of knowledge that existed before him? Does Descartes think that there are some things which are so obviously true that we don't need to worry about them? Explain. What must Descartes do before he can even begin to produce real knowledge? Explain your answers, giving Descartes's arguments where appropriate.

Explain Descartes's arguments why neither the senses nor mathematics can be the foundation of knowledge. 
What is Descartes's basic philosophical method? What standard must something meet in order for Descartes to accept it as a fit foundation for knowledge? Why can't the commonsense picture of the world based on the senses meet this standard? What kind of knowledge is mathematics? Why is it the kind it is? Does the truth or falsity of mathematical statements depend on the existence of a particular kind of world? Explain. How are mathematical truths determined? Do mathematical facts have the same kind of built-in uncertainty that observational facts do? Explain. Given all that, how come Descartes still can't use mathematics as his foundation?

Explain and Critique Descartes's famous "Cogito ergo sum" argument. 
What imaginary being does Descartes postulate in order to begin this argument? Why does he postulate this being? What kinds of beliefs are undermined by postulating this being? What exactly is proved by Descartes argument? Would you prove the same thing if you used the same argument? Explain in detail how Descartes proves what he thinks he proves. Now explain your instructor's critique of this argument. What do I think Descartes thinks he proves exactly? What do I think Descartes actually proves? What is the difference? Why is this difference a problem for Descartes?

Explain and Critique how Descartes uses wax to try to establish the existence of an innate idea.
What is an innate idea? What other kinds of ideas are there? How are innate ideas different from the other kind? What innate idea is generated by the wax example?  Why is this supposed to be an innate idea rather than an idea of the other kind? Now explain your instructor's critique of this argument. What do I think is wrong with Descartes argument here? What do possibilitie do I think Descartes ignores how is this fatal to his argument?

Explain and Critique Descartes's argument for the existence of God.

What is the basis for Descartes' argument for the existance of God? What are the two possible sources for this thing? What other explanations for this thing does Descartes rule out, and what explanation does Descartes think is left? How is this explantion related to Descartes' definition of God, and how is all this supposed to prove that God exists? What is the major flaw in Descartes' reasoning, and how does this flaw cause Descartes' argument to fail?

Explain and Critique Descartes's argument against the existence of the evil genius.
What claim does Descartes start with, and by what chain of reasoning does Descartes' think he has come to disprove the existence of the evil genius? What is the major flaw(s) in Descartes reasoning, and how does this flaw bring about the failure of Descartes' argument?

Explain and Critique Descartes's argument for the existence of the physical world. 

Beginning with the existence of God and the nonexistance of the evil genius, trace out the chain of reasoning that Descartes uses to prove the existance of the external world. In Descartes's view, after this argument, is it possible that there really is in fact no external world at all? Why or why not? Why is the definition of God important here? Why is Descartes' view of knowledge important here? What flaw(s) if any can be found in this argument, and if it is flawed, found, how does the argument fail?

Any exam answer can be enhanced by addition of any comments that occur to you. The more you think about a topic, the more likely you are to come up with something that can earn you a little more credit for your answer. I never deduct points, so it can't hurt to add your own thoughts

See you in class.

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