A Look at the Cogito: Cogito Ergo Sum (Column 363)
To my dear granddaughter, Uriya,
who at the age of four uses the term “dilemma”
I’ve been asked many times about Descartes’ cogito argument (see for example here), and the time has come to address it systematically, as far as a column like this allows.[1]
The Background to Descartes’ Cogito Argument
René Descartes (Cartesius, in his Latin name) was a philosopher, scientist, and mathematician, a Frenchman of the 16th–17th centuries. Of all these, his chief renown came from his classical philosophical consideration, the cogito, one of whose Hebrew formulations is: “I think, therefore I exist.”
The background is a waning of the rationalist approach that reigned from antiquity until the dawn of the modern era. According to this approach, reason is the central—and certainly legitimate—tool for knowing the world. In the fifteenth century an empiricist critique of rationalism began to take shape; that is, thinkers began to doubt that reason could serve as a reliable instrument for knowing the world. The fact that we think in a certain way doesn’t mean that the world itself runs that way, for it attests only to the structure of our thought and not necessarily to the way reality itself functions. As Mark Twain said: the world doesn’t owe you anything; it was here before you. Aristotle thought that bodies fall to earth at a speed proportional to their mass (weight), and he didn’t bother to conduct a simple experiment to test it. It was obvious to him that if his logic says so, then that is exactly how reality operates (well, he didn’t yet know Mark Twain). Empiricism held that conclusions of reason cannot be a basis for claims about the world. Insights and claims about the world must be solely the result of observation. Following this philosophical revolution, empiricism supplanted rationalism, and modern science was born. The most fundamental principle that distinguishes it from ancient science is reliance on observations (at the same time, the separation—now so self-evident—between science and philosophy took place).
Descartes, who lived precisely during the period when this shift occurred, tried to halt that process. He was an ardent rationalist, and therefore desperately sought a solid rational foundation for philosophy and science. It is important to understand that he believed in observations and was certainly a man of science, but to the same extent he believed in the supremacy of reason and its being a reliable and effective instrument for knowing the world. In his view, reliance on observation must itself be grounded in reason. Therefore, the most basic foundation of our thinking and our science, he thought, should be reason. Observation can come after it and be based upon it.
Here I’ll just note that the common notion that modern science is an expression of pure empiricism is mistaken. Already the early empiricists (especially David Hume) understood that quite a few of the assumptions on which science rests are not drawn from experience but from reason. Science is indeed based on observations, but not on them alone. Reliance on observations alone would not yield even a single law of nature. Observations provide particular facts (we can know only the specific fact we observed). Laws of nature are general claims that concern infinitely many facts, and as such they cannot be the product of observations alone. The process always involves a generalization from particular facts to a general law, and in these generalizations analytic, a priori modes of reasoning—i.e., thought procedures—are involved. Rationalism thus returned through the back door.
As a rationalist, Descartes was also deeply troubled by the lack of certainty in philosophy and science; that is, by the fact that almost any claim (and certainly factual claims) can be accepted or rejected without contradiction. This means that our knowledge is not certain. It was clear to him—something empiricists tend to ignore to this day—that observation too is not a certain source of facts. The senses can deceive us, and we have no guarantee that sensory data correctly reflect reality itself. This, in itself, is a working assumption of a rationalist character (meaning it has no empirical basis). Beyond that, as I already mentioned, the move from observational facts to general laws of nature involves thought processes. The foundation of any philosophical, theological, and scientific system seemed to Descartes shaky. Descartes lived and worked before the flowering of British empiricism (Locke, Hume, and Berkeley), which in large measure was born as a reaction to his (rationalist) doctrine, and in fact he sought to prevent its emergence and dominance.
From this we can understand that in order to find an Archimedean and certain foothold for his philosophy, Descartes could not use observation. He had to look for a claim that stands on its own feet—i.e., one not based on observation—and yet (indeed, because of that) could not be doubted. The trajectory of his reasoning is described in several books he wrote, and in each of them the path is slightly different, and so is the wording of the conclusion. Here I’ll outline the essential lines of the move and focus on two formulations that appear in his writings.
Descartes’ Skeptical Move
Descartes began his philosophical inquiry by casting radical doubt on anything that could be doubted. Contrary to what many think, he was certainly not a skeptic. It was a methodological doubt, whose function was to clear the ground of anything that could be doubted. He adopted a methodological assumption, for discussion’s sake, that any claim that can be doubted is false, with the aim of seeing whether, at the end of this process, something still remains. If something remains, it will be a claim that cannot be doubted and will, of course, not be the product of observation (for he doubted any observational finding precisely as such). On it Descartes hoped to base all other claims—philosophical and observational alike—i.e., science.
At the stage of methodological doubt he was unwilling to accept anything, not even claims that seem self-evident to us. He raised the possibility that there is a demon deceiving him, or perhaps mental illnesses causing him to reach wrong conclusions. At this skeptical stage he was not even willing to accept that what he sees actually exists. He was also unwilling to accept the claim that God exists (which for him was self-evident), and so on. So what could remain after such sweeping doubt? Can we even think of something that would pass such stringent tests?
The Result: The Cogito Principle
At the end of the process, Descartes reached the surprising conclusion that there is indeed such a claim. There is a claim that cannot be eliminated in any way, i.e., it cannot be doubted. His contention is that his very own existence cannot be doubted by him. The reasoning that led him to this is his well-known cogito argument: “I think, therefore I exist.” This is the wording in his Discourse on the Method[2] (p. 48). In Latin the formulation is: Cogiti Ergo Sum, and so this argument is called “the cogito.” In another place in his writings[3] a different wording appears: “I doubt, therefore I exist.” To understand the argument and its significance, let us spell out the inference a bit more.
If I doubt my very existence, that indicates there is someone who is entertaining that doubt (or: someone thinking it). It is not possible to say “I doubt my existence.” If I doubt, then I (the one who entertains the doubt) exist, and therefore the doubt dissolves. Descartes is essentially asserting that my ability to doubt is itself proof of my existence. Thus it follows that although I can doubt almost everything, I cannot doubt my own existence.
What, in fact, Did the Cogito Introduce?
As many of his commentators have already explained,[4] this is a partial and imprecise presentation of the argument. Any logical argument bases its conclusion on a premise or premises, and if we reject one of the premises, we are not obliged to accept the conclusion. In our example, if someone were to say “it is not true that I doubt,” or “it is not true that I think,” then he is exempt from the conclusion “I exist.” Our attitude toward the conclusion depends on the truth of the premise.
If this argument were based on the premise “I doubt” or “I think,” as one might gather, then there are countless parallel proofs, such as: I walk, therefore I exist. Clearly, from the premise “I walk” the conclusion “I exist” follows no less necessarily than from the premise “I think.” For if I do not exist, how can I walk?! So what is special about the premise Descartes chose? Why did he decide to derive his conclusion specifically from the premise “I think,” and not from the premise “I walk”?
To understand this, we must note that in an ordinary logical argument the truth of the conclusion is not unconditional. It depends on the truth of the premise. Even if the argument is valid (i.e., the conclusion necessarily follows from the premises), that still does not suffice to prove the conclusion with certainty. The reason is that the premises can be doubtful. True, if I walk then clearly I exist, but why assume that I walk? Is that not subject to doubt? I remind you of Descartes’ skeptical assumption that even our most basic sensory data are inadmissible. Knowing that I walk is the result of observation, and as such it is not a sufficient basis for a certain argument that grounds all our thinking in reason. To arrive at a certain conclusion, we must use certain premises, or alternatively, devise an argument without premises. That sounds very odd, but that is precisely what Descartes sought in order to attain the coveted certainty.
Here lies the sting of the cogito argument. Descartes’ principal innovation was not the logical derivation of the conclusion “I exist” from the premise “I think,” but the insight that “I think” itself (the premise of the argument) is a necessary claim, as opposed to the premise “I walk.” If I think that I do not think, that too is a thought, and therefore I am again thinking. In other words, “I think” is a necessary proposition that cannot be denied. Its denial is itself proof of its existence. This, of course, cannot be said of the proposition “I walk.” If I think that I am not walking, or if I doubt it, that does not lead to any contradiction. Therefore there is no necessity in the claim “I walk” (in philosophical parlance, it is a contingent claim). For this reason, Descartes’ cogito derives the conclusion “I exist” specifically from the premise “I think.” An argument based on “I walk” will not necessarily persuade us that we exist, since we can always deny the premise of the argument. By contrast, one cannot deny the premise “I think,” and accordingly we are compelled to adopt the conclusion “I exist.”
In sum, Descartes’ main novelty is not deriving the conclusion “I exist” from the premise “I think,” but the insight that “I think” itself is a necessary claim. The derivation of “I exist” from this premise is simpler and contains little innovation.[5] Indeed, in Descartes’ principal work, the Meditations[6] (p. 42), the cogito is formulated somewhat differently. There he actually proves the necessity of the claim “I think,” and only in passing notes that from this premise the conclusion “I exist” follows. As I have shown here, this is in fact the more precise logical presentation of the cogito argument.
A Note on the Difference Between the Two Formulations
Let us now consider the other formulation of the cogito: “I doubt, therefore I exist.” The premise “I doubt” is not necessary at all; its negation does not lead to a contradiction. And yet the claim “I exist” is necessary, since if I doubt my existence it is still clear that I exist. That is, the formulation that derives “I exist” from the premise “I doubt my existence” is one in which what is certain is the conclusion (“I exist”) rather than the premise. The premise “I doubt” is not necessary at all, and thus this argument appears similar to one that derives existence from the premise “I walk.”
I think the second formulation of the argument is based on the logic of a dilemma (in the Talmudic formulation: mima nafshakh): If I doubt my existence—then I exist (since I am the one who doubts); and if I do not doubt my existence—then again I exist. Therefore, whichever way you look at it, I exist. Thus, in this formulation the structure of the argument differs from that of the better-known formulation that starts from the premise “I think.”
At the end of the process, Descartes concluded that “I exist” is a certain claim, and he saw it as the beginning of the path to all other conclusions and insights, indeed to the rest of his scientific and philosophical system. From here he proceeded to prove the existence of God, our modes of thinking and observation, and of course trust in the senses. In this way he tried to halt the empiricist movement that was based on distrust in the ability to reach claims about the world (to know the world) by means of reason, and that placed observation at the center.
Note: What, Exactly, Exists?
There is another point here that is very easy to miss, and because of it I dealt with the cogito in the prologue to my book Sciences of Freedom. Did Descartes, by his argument, prove the existence of our body? From the structure of the argument it is clear that what is proven here is the existence of the spirit, that is, the thinking part of us, not the body. What this argument proves is that the entity that thinks itself (=the intellect and consciousness)[7] exists. The “I” whose existence we have proven is our spirit, not the body. Even after the cogito, it is still not necessary that my body actually exists.
In other words: if we were to assume that our intellect exists but we have no body, we would not arrive at any contradiction. This is a fully coherent picture, and the cogito principle does not rule it out. If so, the proposition “my body exists” is not necessary. The proposition whose necessity the cogito proves is “my spirit exists.” Descartes himself sensed this clearly in several places in his writings.
In the Meditations, pp. 42–43, there is an even sharper formulation of the cogito:
…I must decide and think that this statement—“I exist, I am present”—is necessarily true whenever I utter it or conceive it in my mind.
We see here that the sentence “I exist” is considered by Descartes necessarily true only whenever he expresses it or conceives it in his mind. Here one sees even more strongly the dependence between thinking and the existence of the thinking entity specifically (and not of the body). Therefore, if we are to be careful with the conclusion of this argument, we should formulate it thus: existence is necessarily true only at those moments when it is being thought. When I engage the question of whether I exist, then there, at that moment, I indeed exist. But in principle it is possible that at other moments I do not. The fact that I reach this conclusion whenever I ask the question does not mean that I always exist, but that I exist precisely at the moments when I ask the question.[8]
Many have inferred from this conclusions about the importance of thinking (only when I think do I truly exist), but these are witticisms (though in my opinion there is much truth in it, but it has no connection whatsoever to the cogito). What can perhaps be inferred is that, contrary to the common conception, the existence of the spirit is clearer and more fundamental than the existence of the body. The spirit apprehends the body, and therefore recognition of its existence precedes recognition of the body’s existence. One can doubt the existence of the body, but one cannot doubt the existence of the spirit. It is important to understand that the accepted view is that it is obvious there is matter in the world, and the only debate (between materialists and dualists) can be over the existence of the spirit. Matter is self-evident, while the spirit is debatable. But the cogito reverses matters and grounds the existence of the material body on the existence of the spirit that apprehends it. Only after the existence of the spirit has been proven—and only then—can we trust the observations it brings to our knowledge, and in particular the existence of the body.[9]
If we widen this surprising conclusion, we can determine more generally that we have no way of knowing whether the chair beside us really exists. What is clear is that the image of the chair present in our cognition (the result of the data that reach us via sight and touch) exists. The conclusion that somewhere out there there is also a “real” chair whose image we are seeing is a speculation whose reliability is not entirely clear. What is immediately present before us is the cognitive image of the chair, not the chair itself.[10] Therefore, one may say that the existence of this image is more certain than the existence of the chair, for a conclusion can never be more certain than the premises that lead to it. Needless to say, the same applies to every material object around us. In particular, the existence of the brain and the physical processes occurring in it is a conclusion drawn from the image formed in the human cognition observing it.
Solipsism (the view that what exists is only what is in our cognition) has always been considered a ridiculous philosophical quibble, whereas materialism is a very respectable and prevalent philosophical and scientific position. But in light of what we have seen here, the philosophical and logical situation is the reverse. It is very odd to think there are materialists who are prepared to deny the existence of a knowing spirit yet accept the content of its cognitions.
The Continuation of the Cartesian Project
We saw that from the certain anchor of “I think,” the cogito argument derives the first conclusion: “I (the intellect that thinks itself) exist.” This is only the start of his rationalist path. From here Descartes continues and builds his entire philosophy on this premise. He derives from it philosophy, theology (the existence of God), and even science—and in particular, the existence of the body. After I reach the conclusion that my spirit and my cognition exist, I am prepared to adopt also the content of my cognition, namely, the material world, and in particular my body, as well as God.
It must be said that the next part of his analysis is much less strong, and it seems that his proofs for the existence of God and of the body and the material world are much weaker than the cogito argument, which deals with the basic substrate of all this. One may conclude that this argument is not very helpful to us, for we cannot in fact continue and build on it all our empirical and philosophical insights. Still, there is an important philosophical significance to this argument, for it seemingly shows the possibility of drawing rationalist conclusions about the world—that is, the possibility of arriving, by reason alone, at cognitions about the world. But as we shall now see, even the cogito argument is not free of problems, and it likely does not truly deliver what Descartes hoped to extract from it.
First Critique: The ‘Ontological’ Character of the Cogito
The cogito is an “ontological argument” (in Kant’s terminology), namely an argument that yields a conclusion containing a claim about the world purely from conceptual analysis. It is an argument without premises, whose conclusion says something about the world (that we exist). It is important to understand that Descartes was well aware that this is the nature of the argument; indeed, he sought precisely an argument of that type. Some have accused him because of the argument’s ontological character, claiming that an argument without premises that yields a conclusion about the world is impossible (this is what Kant and many others claimed about Anselm’s ontological argument for the existence of God; see the first conversation in my book The First Being). But this critique begs the question, for this is precisely the dispute between empiricists and rationalists. Rationalists, like Descartes, claim that reason can indeed supply us with information about the world; empiricists claim it cannot. If so, the claim that it is a rationalist argument cannot serve as an argument in this debate. From the rationalists’ standpoint there is no culpability here (they admit the facts and deny the charge).
Steinitz, in one of his books (I don’t recall where at the moment), makes an interesting claim in this context. Many arguments can derive negative facts from logical contradiction. For example, I can prove that in Berkeley College there is no square dome in the shape of a circle (this is Quine’s example). Alternatively, I can prove that there is no wall that stops all shells and also a shell that penetrates all walls. Here are claims about the world whose basis is purely logical reasoning and conceptual analysis. Why, then, should there not be “ontological” arguments that prove positive claims about the world? If reason can say something negative about the world (prove non-existence), there is no reason it cannot say something positive about it (that I exist, or that God exists). Regarding the Berkeley dome, one might say that “a dome whose shape is a circular triangle” is an empty expression (meaningless), and therefore it is not true that we learned something about the world from it. It is like an argument proving that there is no pedgaliskhok in the world (what is that?). By contrast, the argument about the shell and the wall does appear to be a claim that says something about the world. So too the claim that there will never be a basket with three oranges that later—without any orange leaving or entering it—contains five. This claim also has a clear meaning, and it asserts something about the world by virtue of an a priori determination. If so, Steinitz argues, all of us use reason to derive from it conclusions about what happens or exists in the world. Therefore, in his opinion, ontological arguments are indeed possible.
But even if he is right in principle, at least in the case of the cogito I think Descartes’ project fails, as we shall now see.
Critique of the Second Formulation
Consider the following claim: “The current king of France is bald.” To check whether it is true or not, we must scan the set of bald people and the set of non-bald people and see in which of the two we find the king of France. When we do so, we discover that he is in neither of the sets. The conclusion is that the aforesaid claim is not true, but also the opposite claim, “The current king of France is not bald,” is not true. How can this miracle occur? It seems to contradict the law of the excluded middle (either X is true or it is not true, and there is no third option). But of course the explanation is simple: in today’s France there is a presidential regime, not a monarchy. There is no current king of France, and therefore it is no wonder we don’t find him in either set. We learn to our surprise that dilemma arguments are not as crushing as they appear at first glance.
Now let us consider the second formulation of the cogito, which is built as a dilemma:
If I doubt my existence—then I exist (for I am the one who doubts).
If I do not doubt my existence—then I exist (for my existence is not in doubt).
Conclusion (mima nafshakh): I exist.
You can now easily see the fallacy in the argument. To that end, let us look at the cogito from the perspective of someone who thinks that I do not exist. Descartes wants to persuade him by means of the cogito that he is mistaken. From his perspective, I am not in the set of those who doubt their existence nor in the set of those who do not doubt their existence, simply because there is no such person. Therefore, the dilemma argument presented to him will fail. Such an argument assumes that necessarily either I doubt my existence or I do not, and there is no third option. And therefore, if both doubting leads to my existence and not doubting leads to my existence, then necessarily (whichever way) I exist. But we have now learned that it is not true that one of those two claims must hold (either I doubt or I do not doubt). There is a third possibility: that I do not exist. Then I am neither in the group of those who doubt their existence nor in the group of those who do not doubt their existence.[11]
Critique of the First Formulation
The first formulation is not directly built on mima nafshakh. We saw that it assumes the premise “I think” and infers from it the conclusion “I exist.” As we observed above, the premise “I think” is necessary, for even if I do not think, I think something (that I do not think). Therefore, in any case it is clear that the claim “I think” is true. From there one can infer that I exist.
But now you will see that it can be translated into the structure of a dilemma:
If I think—I think.
If I do not think—I think (that I do not think).
Conclusion: I think.
And from there: I exist.
But now it is easy to see the logical leap here. Note that the second premise is not “I think that I do not think,” but simply that I do not think. From this there is no necessity to infer that I think. It may be that I do not think because I do not exist, and therefore I am not thinking even that thought (that I do not think).
In other words:
If I think that I think—I exist.
If I think that I do not think—I exist.
Conclusion: I exist.
This is the structure of a dilemma, but here it is even easier to see the previous fallacy. There is a third possibility: that I do not exist at all, and therefore I am neither among those who think they think nor among those who think they do not think.
The Meaning of the Cogito
These caveats show that the argument is not of an “ontological” character; that is, it does not arrive at its factual conclusion (“I exist”) merely from conceptual analysis and without premises. You are implicitly assuming a premise—that only these two possibilities exist—and only then can you indeed infer from them the conclusion that I exist. But the premise that only these two possibilities exist essentially assumes that I think (and therefore either I think I think or I think I do not think), and of course this implicitly assumes that I exist. If so, it is no wonder that one can infer from here the conclusion that I exist. This is begging the question.
You may ask: whence do I draw this premise (that I think or that I exist)? Apparently from observation. If so, there is an observational premise that the cogito relies on as well, and this of course topples Descartes’ rationalist attempt. The import is that the conclusion is indeed true, but contrary to Descartes’ claim it cannot be proven by conceptual–ontological means. It is based on observation. I experience my existence and infer from this that I exist. This is an ordinary empiricist claim, grounded in my observation of myself.
In columns 157–158 I presented the claim of Ron Aharoni, in his book The Cat That Isn’t There, that all the problems and issues of philosophy stem from a single fallacy: the conflation of object and subject. The cogito is a clear example of this, since I play two roles there: I observe myself and think about my thought. My thought thinks itself. In this situation I am both the observer (the subject) and the observed (the object).[12] Alternatively, I am the one conducting the cogito reasoning (I am the one pondering my existence) and I am also the subject of the argument (the one whose existence is proven). Aharoni argues in his book that one must not identify these two entities, even though they both refer to the same person, and from this he reduces all philosophy to factual claims. He says that identifying the “I” as subject and as object is the mother of philosophical sin, indeed the mother of philosophy. In those columns I explained why I do not accept his claim and showed the possibility of philosophy. But in the case of the cogito he is indeed right: as I have shown, this is an observational claim in which I observe myself, and this is precisely Descartes’ fallacy—identifying these two roles of the self. Therefore, the conclusion of the argument belongs to science and not to philosophy.
Some will say that even arguments of the type of the wall and the shell—i.e., arguments that prove a negative claim about the world by virtue of logical contradiction—bear the fingerprints of observation. Observation says that the world operates in a way subject to logic. Hence, if there is a claim that contains a logical contradiction, it probably will not be realized in the world. Even here, beyond logic, some kind of observation is involved, or at least a factual assumption. This I do not accept. In my view, logic is not the result of observation of the world but something true by its own force, but I cannot go into that here.
To sharpen this further, consider the empiricists. They trust their senses as the firmest basis for insights about the world. But there is an assumption here that the images in their cognition indeed match what happens in the world, i.e., that their senses faithfully present the world to them. If so, the observational approach itself is based on a rationalist (intellectual) assumption. This is an example of an assumption that seems self-evident to us and that we use as a basis for insights about the world, even though it has no observational source. There are more such assumptions at the foundation of scientific thinking. This means that true certainty regarding any fact about the world is impossible, since at the base there are always uncertain assumptions. Yet from our point of view, this is reliable information about the world and it is reasonable to accept it.
In this sense, Descartes is right that the claim about my existence seems self-evident. It is very implausible to doubt it, at least because there is an implicit observation here (an inward look, inward). This does not mean that the conclusion is certain, but it is very plausible. On the other hand, as we have seen, it is the result of observation and not of conceptual analysis alone, as Descartes thought.
The lesson is that even if an argument does not give us certainty, it does not mean it is worthless. It can be a good argument at the philosophical level, even if there is no certainty in it. We can learn from the cogito that the existence of the spirit is indeed more secure than the existence of matter. The conclusions that there are material objects in the world (including my own body) are the result of adopting trust in the existence of the knowing spirit and in the reliability of its cognitive instruments. In this sense, I think Descartes was nevertheless right. His need for certainty is what tripped him up, and here we come, of course, to my theses about the synthetic a priori (that is, there are things that are true by their own force, i.e., without observation, but not with certainty).[13]
[1] There is a very detailed discussion of this in Hebrew in A. Z. Brown’s book, The Question of Being, Magnes, Jerusalem 1977, chapter four (hereafter: Brown). He deals there with the various critiques and interpretations of the argument. A concise discussion can also be found in the prologue to my book Sciences of Freedom.
[2] René Descartes, Discourse on the Method, trans. Yosef Or, Magnes, Jerusalem 1974.
[3] The Search for Truth by the Natural Light, cited in Brown, p. 126.
[4] See Brown throughout chapter four.
[5] Although various objections have been raised even to this, I will not go into them here.
[6] René Descartes, Meditations on First Philosophy, trans. Yosef Or, Magnes, Jerusalem 1977.
[7] In this sense, Descartes does not assume mere thinking but reflexive thinking, namely self-awareness as well. One cannot, in this way, prove the existence of a being that thinks but is not aware that it thinks.
[8] Physicists call this effect a stroboscopic effect. Imagine a particle in a dark room moving in a circle at very high speed. There is a flashlight illuminating one particular point on the path. The flashlight turns on and off at a rate controlled by us. If the flashlight’s rate differs from the particle’s rotation rate, sometimes we will notice the particle (if it happens to be at that point when the spot is illuminated) and sometimes not. Our conclusion will be that it is moving. What happens if we set the flashlight’s rate to be exactly the particle’s rotation rate (or an integer multiple thereof)? In that case we will see the particle at the same point each time. Assuming very high rates, we will get the illusion that the particle stands at the same point all the time. That is how we should relate to the conclusion that we exist. In fact it is true only at the moments when we think it, but at all other times there is no reason to infer it. It only seems to us like continuous existence because of the stroboscopic effect.
[9] This line of thought is very similar to Schopenhauer’s argument. Kant distinguished between the world as it is in itself (the noumenon) and the world as it appears to us (the phenomenon). He claimed we have no way to know things as they are in themselves, only their appearances before us (or before our cognition). We have no way to know the chair in itself, only its image that appears in our cognition. Schopenhauer pointed out one exception to Kant’s distinction: our spirit. When I look inward I encounter myself directly—that is, Michael Avraham as he is in himself—and not merely his phenomenon (the image that appears to the eyes of others who look at him).
[10] In this context, see the article by Rafi Malach, “From Photons to Fantasies,” here:
http://www.weizmann.ac.il/neurobiology/labs/malach/pdf/photonsToFantasies.pdf. Malach argues there that vision does not photograph reality but rather constructs a model of it that is useful to us in certain respects. This claim greatly reinforces the superiority of the image of reality over the reliability of our conclusions about reality itself.
[11] This fallacy is reminiscent of the popular expression “go prove you don’t have a sister.” For example, someone asks me whether that prostitute is my sister or whether my sister is a different prostitute. To this I respond that my sister is not such a thing at all—or that I have no sister. Here too, two options are presented from which a conclusion (that my sister is such-and-such) is proven by way of mima nafshakh, while ignoring a third possibility: that I have no sister at all.
[12] All philosophy and logic begin with such loopiness: a person thinks about his thought, that is, uses reason to understand how reason operates. In a certain sense, indeed all philosophy is a loop with its tail in its mouth. Therefore Aharoni argues that all these processes are observational (I observe myself) and denies the existence of a non-scientific domain (philosophy). His claim is that if we separate the observing subject from the observed object, philosophy collapses: part of it vanishes and another part becomes a collection of empirical claims. In this context it is interesting to consider a lesson I taught on a Talmudic sugya (Shabbat 5a, “Two powers in one person”) that discusses whether one person can play two different roles and the law will be as if two different people are involved. The Talmud there leaves the question unresolved, and in a sense this is exactly my dispute with Aharoni.
[13] This differs from Kant, who tied synthetic a priori propositions to the human being and to the scientific image of the world within his cognition, and not to the world itself.
Discussion
I didn’t understand the argument. Do you think it is possible to find a round skullcap in the shape of a square at Berkeley College or anywhere else?
In my own remarks I also wrote that this is not unequivocal, because built into the meaning of a triangular shape is that it is not square; and still, ostensibly that itself is an intellectual consideration. If that is what you meant, then there is room for it. But Steinitz’s argument is not absurd.
You can’t find one, but that is still a claim about properties. I’m not claiming that something does not exist, but rather that every thing that does exist has certain properties (for every object found at Berkeley College, if it is a round skullcap then it is not square-shaped; if there exists a wall that stops all shells, then every shell that exists will be stopped by that wall). And that is a completely ordinary claim about the properties of objects. Exactly like saying that if something is a triangle then it has three vertices. Once there is an existing object, we deal with its properties and not at all with existence or non-existence as such. I think he wrote this in Philosophical Logical Missile, and ever since I read it there I thought it was really unconvincing; but if you think there is something to it, then I’ll give it some more thought.
“…this conclusion … on the other hand, as we saw, is the result of an observation” is the result of an observation only if one assumes in advance that there is an observation and an observer. Because if there is no observation and no observer, then there are also no results of observation. So in fact it is not the result of an observation but prior to observation.
(Unless you mean to say that there can be observation without an observer. A grin without a cat).
An incurable semanticist
I’m asking whether there would be such a skullcap or not?
I didn’t understand. What is the question, and what is it referring to?
There would not be such a skullcap. But that is only a sloppy and misleading formulation. Any skullcap that does exist would not be square. Claims of non-existence can be translated into claims about the properties of what does exist; claims of existence cannot.
A very fine column!
I don’t understand. You determine in advance, on logical grounds, the non-existence of something. Alternatively, you determine that the square skullcap that exists will not be triangular, without observation, on the basis of logic.
Many thanks
I’ll deal with the “alternatively” (because regarding the first part I have nothing to add, and on the other hand I also wasn’t convinced). I do indeed determine that it will be non-triangular; so what? That is a completely analytic claim (like claiming that a triangle is a triangle), and I don’t see any lasting connection between it and an ontological proof.
With God’s help, 13 Shevat 5781
If Descartes held that thought testifies to existence, then the Baal Shem Tov went a step further and held that thought is existence. As Rabbi Tzadok HaKohen of Lublin explains: “Where a person’s thought is—that is where the whole person is, for the essence of a person is not the body but the soul, and the soul is nothing but the power in a person that thinks, reflects, and wills. And the place to which his thought is attached—thus the whole form of the person is there at that moment” (Tzidkat HaTzadik 144).
Regards, Yaron Fish”l Ordner
1. Although I haven’t read Descartes himself, it seems to me that his words are based on the assumption that whatever I cannot doubt the existence of certainly exists. Therefore the third group—something that does not exist but whose existence I cannot doubt—does not exist.
One can say that this assumption is incorrect, and that something may not exist even if I cannot cast doubt on it; but if we revise it and say: whatever I cannot doubt the existence of—for me—certainly exists, that already seems to me logically necessary. Am I mistaken?
2. I couldn’t understand what algebra has over geometry, such that the statement “a basket with 5 can’t have 3 in it unless more are added” says something (3+0 does not equal 5), whereas the statement “a circle can’t be a triangle” (0 vertices does not equal 3) says nothing.
Thank you very much for the interesting column!
Since I too was unsure about Steinitz’s argument (he is a well-known lightweight), I thought about it again, and here is my conclusion.
When the proof is a valid logical argument, that is, a necessary conceptual analysis, it is clear that it also applies to reality, and there is nothing remarkable about that. Rationalism is not about the possibility of inferring reality from a valid logical inference and conceptual analysis, but about the possibility of inferring reality from reasonable considerations (like the law of causality or the speed at which bodies fall to the ground). When we are dealing with conceptual analysis, these are not principles that emerge from reason, but something embedded in the things themselves (as I have often explained regarding the laws of logic, which are not really “laws” like the laws of physics or the laws of parliament). By contrast, Aristotle’s conjecture about the speed at which bodies fall to the ground is a factual claim that emerges from intellect/reasoning alone, but is not the result of conceptual analysis (it is a synthetic claim).
The important point is that there is no valid logical argument—that is, pure conceptual analysis—that yields a claim about reality without assuming premises about reality (as can be seen in the cogito or in Anselm’s proof, both of which are presented as conceptual analysis, though they are not).
Therefore, in my opinion, Steinitz is right when he says that a logical consideration yields claims about reality (as in the case of Berkeley College’s skullcap, or the shell and the wall), but this proves nothing at all regarding other rationalist arguments that are not merely conceptual analysis.
Still, regarding the college skullcap (or the shell and the wall), I do not see how you can dispute that by the force of logic alone I can determine that such a skullcap will not be found—that is, infer a non-existence claim from logic and conceptual analysis alone, without any factual assumption whatsoever. I am not assuming the existence of any specific skullcap that the claim is about; rather, I determine a priori that nowhere and at no time will there be found a skullcap with those properties. This is a clear non-existence claim.
And perhaps you yourself meant the distinction I made here? If so, then I of course agree.
1. What I explained is that the third group does exist: there may be something nonexistent whose existence I do not doubt. Quite simply because I myself do not exist, and there is no one to cast that doubt.
2. Who said there is a difference? Geometry yields the claim of non-existence of Berkeley College’s skullcap, just as algebra yields the non-existence of the oranges-in-the-basket event. Except that the first deals with the non-existence of an object and the second with the non-existence of an event. And when dealing with an object, one has to discuss whether the object is defined and whether there is a referent for the term that denotes it. “A square round skullcap” is a term with no referent (not even in the world of ideas, and certainly it has no instantiation in our world). By contrast, the event I described is an impossible event, but the collection of words does have meaning.
It seems to me that to the same extent I could also have formulated a geometric problem as an event (I will add up all the angles in a triangle and get 215 degrees), or an algebraic problem as an object (a square whose number of vertices is not divisible by two, or a prime number divisible by seventeen).
I of course accept the distinction (and I also join, as they say, “adding Judah to the reading” to your diagnosis of Steinitz), but I continue one step further. This is indeed a clear non-existence claim, but a non-existence claim is essentially different from an existence claim. A non-existence claim always deals with the properties of objects that do exist. What do the words “there is no such shell” mean? They mean that for every existing object in the world, either it is not a shell or else it will indeed be stopped by the wall.
To say that there does not exist an x that satisfies property p means to say that for every x, the property ~p holds. By contrast, to say that there does exist an x that satisfies property p means literally to say that such an x exists, and therefore that really is a claim about existence and not about properties (one can also prettify existence claims and say that among the existing objects there is one that has property p, but I don’t need that twist).
So let me ask this: do you agree that a non-existence claim is de facto equivalent to a claim about properties? That is, that one is true if and only if the other is true?
For sources for the Baal Shem Tov’s statement that a person is where his thought is, see Mekor Chayim on the Baal Shem Tov, Noah 31 (on the Sefaria website).
Regards, Yifa”or
Nonsense.
1. “I think” is an incorrect statement. It would be correct to say “I am aware of thinking.”
2. To say I am X therefore I exist is a classic case of begging the question.
3. Existence precedes logic. Existence does not depend on whether one believes or feels or thinks that something exists, and therefore no logical argument can prove existence. The question whether something exists is a question about reality.
4. There is no obstacle to saying that the “I” does not exist and is an illusion. And no logical argument or gut feeling can refute this, for existence precedes logical arguments and thought.
5. Descartes, and many confused people who followed in his wake, simply distorted the definition of existence. And made themselves the definers of existence.
There is a dilemma here, but in reverse.
If the self is hallucinating things, then its thoughts, feelings, and claims have no meaning at all.
If the self is not hallucinating things, then one can see that all living creatures are “programmed” for one central thing: to avoid death. And that proves that there is no existence there, only illusion. For existence cannot cease.
However, there is an essential difference between Descartes and the Baal Shem Tov. Descartes’ “I think” is intellectual contemplation, whereas according to the Baal Shem Tov the essence of a person is “the power that thinks, reflects, and wills.” Perhaps it would be more correct, according to the Baal Shem Tov, to define it as: “I aspire—therefore I exist.”
Regards, Yifa”or
That is semantics. I am making claims about reality by the force of logic. What difference does it make whether you define them as claims about the properties of objects (which I have never seen) or as claims about existence? I also do not agree that these are claims about properties and not about existence, but as I said, that is not important for the discussion. The question is whether the intellect is a source for knowledge of reality or not.
After all, Steinitz is trying with this to break Kant’s critique of the ontological proof (as far as I remember, though I’m pretty sure). Do you think he succeeds in that?! If you say he doesn’t succeed, then there is no further disagreement.
Thank you for the reply. Regarding the first part—I did not make myself clear enough: from what I understood, Descartes was looking for a lower level of certainty than the one you require. He would have accepted the observations of his senses were it not for the fact that he had the ability to cast doubt on them. Once there is an observation, he takes the trouble to find a real possibility for explaining why he can doubt it (like the example of dreams with respect to what is perceived by the senses). If his approach were that an observation is invalid without proof, he would simply say: it may be that although I observe something, it does not exist. For Descartes, a mere “perhaps” is not enough to reject accepting the observation; there has to be a real possibility for doubt.
Descartes had no possibility of arguing against his observation of his own existence, and therefore if he has no possibility of arguing against it, he must accept it as certain. You, of course, can argue against Descartes’ existence and say that even though he cannot argue against it, he does not exist at all, and he will not be able to convince you. The starting point of the discussion was the opposite—he rejected the assumption that one must accept sensory observation as certain, since it can be doubted. But once I have an observation, I do not need to prove its correctness by excluding every other possibility; I only need to show that I cannot cast doubt on it. That someone else can cast doubt on my observation is obvious (and one need not go as far as nighttime dreams to demonstrate this), but that is not relevant to the discussion I am having with myself regarding my own observation—is it certain or doubtful?
So it is true that Descartes, like the empiricists, relies on observation, but he relies only on an observation that he cannot doubt, and therefore it is essentially different from ordinary observation, because it is, from his perspective, a certain observation.
2. I didn’t really think the difference was between algebra and geometry, but I did not understand the difference between an event and an object. Thanks for the explanation!
Moving the definition of “I think” from “I know” to “I aspire” resolves the doubt about the absoluteness of knowledge, because even if my knowledge is not entirely certain—my aspirations certainly exist.
Regards, Yifa”or
And perhaps that is why Dr. Steinitz left the “Ministry of Intelligence” and moved to the “Ministry of Energy,” because even if the information in my hands is not absolutely certain, it still gives me “energy,” strength, and motivation to aspire and act 🙂
Kant’s critique does not deal specifically with existence. It attacks the pretension to learn something about the world a priori and without assumptions. As I wrote, saying something about the world can be a statement that something exists or that something has some property or other. Therefore, in my opinion, Steinitz is right. Except that the reason for this is that intuition is a cognitive tool, not a thinking tool, and therefore there is a kind of observation here.
Of course I cannot doubt my existence. But that is because I know that I exist. If that is Descartes’ claim, then he has done nothing. After all, he is trying to build all the rest of philosophy and science on that. At most he has found an empirical claim that cannot be doubted. From here to a rationalist picture the distance is enormous.
With God’s help, 14 Shevat 5781
It seems that solipsism is “one step forward” from the “cogito,” since as for myself it is clear to me that I exist, for I am aware that “I think”; but as for another person—the doubt returns to its place.
It seems to me that it would be more correct not to cast doubt on human cognition itself, but rather to say that the doubt involved in it stems from its being limited, and therefore it is possible that the information I attain through my senses and intellect is only part of the overall picture, and therefore it is possible that the “half-truth” in my possession distorts the true picture.
One should have formulated the rule: “I think and take others into account—I am on the right path,” for insofar as I exhaust my intellectual capacities and at the same time also take outside opinions into account, I am on the right path of self-perfection and am drawing closer to perfection.
Regards, Yaron Tzemach HaLevi Fish”l-Plankton
Rabbi, in your opinion did R. Nachman try here to make a move similar to Descartes’, and find one small good point in a person that is beyond doubt and build everything on it? It feels weaker than Descartes’ argument, even though in every good deed, even if it is entirely full of ulterior motives, there was still a little good in it—where is the flaw?
“A person must also find this within himself. For it is known that a person must be very careful always to be joyful, and to keep far away from sadness, very, very much (as explained by us many times). And even when he begins to look at himself and sees that there is no good in him at all, and that he is full of sins, and the evil inclination wants through this to cast him into sadness and depression, God forbid—even so, he must not fall because of this. Rather, he must search and find within himself some little bit of good. For how is it possible that in all his days he never did some commandment or good deed? And even when he begins to look at that good thing, he sees that it too is full of sores and without soundness—that is, he sees that even the commandment and holy deed that he merited to do is also full of ulterior motives and foreign thoughts and many defects—still, how is it possible that in that commandment and holy deed there is not some little bit of good? For in any case, however it may be, there was at any rate some good point in the commandment and good deed that he did. For a person must search and seek to find within himself some little bit of good, in order to revive himself and come to joy, as mentioned above. And through this, when he searches and finds within himself still some little bit of good, through this he truly passes from the scale of guilt to the scale of merit and can repent, in the aspect of: ‘Yet a little while, and the wicked is no more; you shall look well at his place, and he is not there’—as mentioned above. That is, just as one must judge others favorably, even the wicked, and find in them some good points, and through this truly bring them from the scale of guilt to the scale of merit, in the aspect of ‘Yet a little while…’ and ‘you shall look at his place…’ as mentioned above—so too it is with a person himself: he must judge himself favorably and find within himself some good point still, in order to strengthen himself so that he will not fall completely, God forbid. On the contrary, he should revive himself and gladden his soul with the little good that he finds within himself, namely that he merited at some point in his life to do some commandment or some good deed. And likewise he must search further, to find within himself another good thing. And even though that good thing too is mixed with much refuse, nevertheless he should extract from there as well some good point.”
I don’t see any real connection. The cogito is a claim about the world, whereas here we are dealing with advice. I would formulate it closer to the cogito like this: the very search for good and seeing it as good is itself a good point (even if he found no good in the search itself). That is already a claim and not advice, but even that is of course very different from the cogito.
What’s the contradiction? There is a square-round skullcap—namely, the “yarmulke” 🙂
Regards, Nissan Beck
Could the Rabbi please write a similar-style column on Kant’s philosophy? The Rabbi still hasn’t written a column dealing with him in a systematic and comprehensive way, but is very knowledgeable in his thought.
The notebooks are supposedly a discussion of Kant’s words. No?
That is far too general a request. Do you want a course on Kant? I didn’t give a course on Descartes here either. If there is something specific, you can suggest it and I’ll consider it. By the way, I am not very knowledgeable in his thought. Not even really a little knowledgeable. Expertise in the thought of this or that philosopher is usually the domain of philosophy scholars (and not necessarily of philosophers).
Not at all. Here and there there is discussion of his ideas, where he serves my purposes.
See in the column that just went up a response to your arguments (apparently not for your reasons):
https://mikyab.net/posts/70490
A fascinating column, thank you very much, Rabbi (this is exactly the point that was difficult for me when I asked about it here in the Q&A last week—that even Descartes’ cogito is the result of an observation, and not only pure rationalism).
It clarified the points for me. Have a peaceful Sabbath, dear Rabbi Michi 🙂
According to Descartes’ dream argument, okay, suppose everything is a dream—then there is something, a dream; moreover, if there is a dream there is a dreamer. Likewise, if he refutes reality with logic, then there is logic…
I didn’t understand. In particular, I didn’t understand whether there is any question here.
In the dream argument, suppose everything is a dream, okay, then there is something, a dream; and if there is a dream there is a dreamer. Moreover, he refutes reality with logic, so he is using logic, which is something that exists.
You can’t arrive at the understanding that perhaps there is nothing at all, because if everything is a dream, there is something…
True. So what?
So I have something certain; there’s no need to get into the hair-splitting that the very fact that I can cast doubt is a sign that I exist.
But why do you think you are dreaming? Obviously, if you are dreaming then you exist. Even if you are walking then you exist. It was explained in the column.
Because that is the structure of the argument: about the fact that I am walking or thinking one can say maybe everything is a dream, therefore dream is the last line—you can’t say maybe there is nothing at all, because then I will say I see, and about that one can claim maybe everything is a dream…
That is not the last line, because it is possible that there is no dream and nothing at all. The necessity of saying that there is something is an observational claim, and with that the cogito falls as an empiricist-ontological argument.
You can’t present a logical argument without accepting that there is a dream or imagination, because the structure of the argument goes that one person says I see or think, and then you say to him maybe everything is a dream and imagination; that is, in the balance of the scales you have to say something to him in order to contradict the simple thing that I see, for example. You can’t just present “and maybe there is nothing at all,” because then I will claim I see—what does “nothing” have to do with that? Therefore, in the equation you have to include the matter of the dream.
The column makes it sound as though Descartes is responding to philosophers from the movement called “empiricism,” like David Hume, but that movement arose after Descartes. It would be worth clarifying that.
Empiricism existed earlier. British empiricism arose after him. Descartes is definitely contending with empiricism.
First of all—it was really interesting, thanks!
3 questions—
1. So what’s the conclusion? Is Descartes’ claim in the end almost certain after all, or not necessarily (I didn’t quite manage to understand)?
2. Would you use the above argument in a debate about determinism? Or are the determinists actually empiricists, and then they won’t accept that one can arrive at factual knowledge about the world by means of reason?
3. What do you think about Descartes’ other claims? For example regarding the existence of God, etc.?
1. It is very true, but the logical inference is not free of factual assumptions. So there is no real novelty in it. Everyone knows that he exists.
2. Which argument?
3. As for the rest of his claims, I’m just running off to write a collection of essays on the various issues. I’ll update you immediately when it’s ready.
1. Okay
2. The cogito argument…
After all, you wrote at the beginning that by way of this argument we arrive at the conclusion that the existence of a spirit/mind/something non-material is supposedly more “proven” than our physical existence.
3. Somehow I have a feeling that you’re not really going to run off and write a collection on the various issues ;(
In any case, happy holiday, thanks
2. You mean materialism. In principle it’s possible, but the materialists will say that the soul is a function of matter and not a separate substance.
3. It seems you didn’t understand the rebuke contained in my ironic reply. So I again draw your attention to it.
Okay, got it, thanks!
Ummmmmm
Would it be stupid of me to say that I still didn’t understand where there is a rebuke in the answer 😀?
A synthetic a priori does not make an observational claim, and is not necessary?!
Kripke showed that it’s exactly the opposite: a synthetic a priori argument can be necessary, and after observation.
I haven’t yet read everything (this evening, God willing), and I’ll address only a side point. Steinitz did indeed write that contradictions are negative ontological proofs and made a big principle out of it, but in my opinion that isn’t correct. Contradictions take existence as an assumption and from that point deal only with properties: if something is triangular then it is not square. Put simply, that has no connection at all to an ontological proof.