In the essay I am working on right now ("Thinking and Moral Considerations," which I will quote extensively from), Arendt addresses nihilism in two different instances. First, is the concern by the "defenders of metaphysics" of the "danger of nihilism" that arises through recent philosophical contributions by the likes of Nietzsche. In the second instance, she addresses the real possibility that "thinking" will coincide with nihilistic "knowledge." I believe these two instances relate back to each other, and they are helpful in understanding the interconnectedness and implications of her theories on thinking, willing and judging.
I do not plan on explaining Arendt's theory of "thinking" here, but I do plan soon on a large post on Thinking, Willing, and Judging, the tripartite division that was to organize her last work on the
vita contemplativa in
The Life of the Mind. Unfortunately she died before its completion and never got to the Judgment section, which was probably the most important of the three because it proposes a solution to the problem formed by the first two sections (and in my opinion by the Nietzsche and post-structuralism problems). Fortunately, for my sake, her theory of judgment can be well gathered by an intense study of several essays touching on the issue, but I will not go into that now either.
For the purposes of this post you need only know that "thinking," according to Arendt, is a purposeless activity, it does not aim at producing anything. In fact, "thinking" is inherently destructive and even self-destructive, because when one thinks, one is always thinking anew. Thinking challenges "concepts," which are described as knowledge or "thoughts frozen by language, the medium of thinking." So when I mentioned earlier that thinking can coincide with nihilism, it would be wrong to gather that thinking "produces" nihilism because thinking does not produce anything. Production of knowledge is what "knowing" does (based on a distinction b/w "knowing" and "thinking" Arendt believes she has found in Kant), and thinking is characterized by the act which challenges knowing or knowledge. Thinking is where we take prejudicial categories of knowledge and turn them around, question them, ultimately destroy them.
The first instance where Arendt discusses nihilism in "Thinking and Moral Considerations" is with regard to the end of the distinction between the sensual and supersensual worlds and their hierarchical ordering given in traditional metaphysics. She points to the "cries of the defenders of metaphysics," urging that the collapse of this distinction poses the threat of the onset of nihilism. Arendt suggests that their concerns are well placed because "once the supersensual realm is discarded, its opposite, the world of appearance...is also annihilated." Arendt then points out that nobody knew this better than Nietzsche.
For a perfect example of this collapse and its effect, one need not look further than Nietzsche's alleged assassination of God in
Thus Spoke Zarathustra. Arendt suggests this oft-quoted and misunderstood passage was later clarified by Nietzsche in
The Twilight of Idols where he stated that "God" was used to symbolize the supersensual realm as understood by traditional metaphysics. In this instance Nietzsche uses the term "true world" instead of "God" (as in the true world of things-in-themselves versus the "world as it appears"), and Arendt quotes him saying, "We have abolished the true world. What has remained? The apparent one perhaps? Oh no! With the true world we have also abolished the apparent one." The "death" of the "God" of traditional metaphysics does not affect "our ability to think" or "the sheer fact that man is a thinking being," it only means that the inclination to think does not need to be raised/confined by the traditional questions of metaphysics (as Kant believed). Unfortunately Arendt moves from here directly into another topic, and we are left momentarily unsatisfied with the fears of "the defenders of metaphysics."
The second instance can be related back to the first to complete a more satisfying picture of the existence of nihilism and its relationship to "thinking." In this section of the lecture Arendt has posed Socrates as the "example" of a thinker "thinking" (there is a role in "judgment" to be played by ideal types, examples or "exemplary thought" which will not be addressed here, one must only know that "example" has a specialized meaning). Socrates, like "thinking," does not propose results or truth. Socrates only incites reflection or thought as an activity of intrinsic value. We are reminded of the charges levied by the Athenians against Socrates for "corrupting the youth," etc., and of Socrates reply in the
Apology. Socrates was guilty of challenging the traditional values of the city because thought is inherently destructive of received or unreflected categories, but Socrates never posed results as evidenced by the arguments in the dialogues, which are always "aporetic," either circular or without end. So what Socrates reveals is that "once roused from your sleep...you will see that you have nothing in your hand but perplexities, and the most we can do with them is share them with each other" ("each other," here may be the "me and myself" of the "thinking dialogue," it need not be "others" literally).
How does this destructive and purposeless activity possibly coincide with nihilism? Well, we can see for example certain members of Socrates circle, particularly Alcibiades and Critias, who, having been "aroused" by Socrates, "changed the nonresults of thinking into negative results." Alcibiades and Critias decide that since they cannot know what piety is, they shall be impious, and this is, by Arendt's account, "pretty much the opposite of what Socrates had hoped to achieve by talking about piety." We are warned that thinking, which "relentlessly dissolves and examines anew...doctrines and rules," can "turn against itself...produce a reversal of old values." See for instance Nietzsche, who seems to have forgotten while reversing Plato that "reversed Plato is still Plato." These negative results that coincide with the thinking activity will only serve to be the next set of dogmatically received values. Nihilism, according to Arendt, is simply the other side of conventionalism, negations of the current. Since thinking must go through a stage of at least hypothetical negation there is a tendency to try to "know" negated values, but "knowing" and "production" are not ends of thinking, which has no aim and is an end in itself.
What she seems to be suggesting here is not far off from Nietzche's criticism of "European Nihilism" in the first section of
The Will to Power. Where nihilism is fallable, and inherently circular, is in its demand to hang to, or posit, ideas that exist only in relation to other ideas which it has recognized as destroyed. I am working from memory now, but I believe Nietzsche describes this as the person who denies values and then blames those very values for no longer existing, this is the error of nihilism. Nihilism always tries to hold to the shadows of things that it refuses to believe still exist.
This notion of nihilism relates to the Arendtian idea of "thinking," because thinking is supposed to be what is left when "values" can no longer be relied on (along with Willing and Judging). When thinking is blocked by "knowing" we reach an unreflective state where human beings simply apply, "sleepily," conventions or general rules to particulars with little regard for their substance. Its the "having a rule" that matters, and this explains why it is so easy to "transvaluate" or replace old rules with new rules. The flaw is in relying exclusively on concepts or rules, "determinative judgment" as Kant called it, in getting too used to "never making up [one's] mind." Nihilism is, as I believe Arendt would suggest, still holding to this flawed methodology but inverting, altering, or exploiting its arbitrary or contingent substance (she is relying heavily on Nietzsche here I think).
In conclusion, it appears the nihilistic threat posed by the collapse of the two-world metaphysics of traditional philosophy is rooted in this need for new categories. The collapse should have introduced the slippery nature of categories, the reality that concepts tend to "move about." Instead, it has simply led to a grasping for a new set of slippery concepts to hold to, since it is this "holding to" that really matters to most people. To Arendt, I think, the collapse of the two-world metaphysics did not demonstrate the flaw of this knowledge but the flaw of knowing itself. "What has remained?" asks Nietzsche. Arendt would perhaps answer "thinking, willing, and judging." I am not well acquainted with nihilism beyond Nietzsche's criticism of it and Arendt here, which I believe to be closely related to Nietzsche. I would be interested in knowing what those of you more acquainted with nihilism think since it will help my organization of Arendt for research purposes.