I’m suggesting that this be downrated to an argumentative pinnacle because of a particular characteristic it reveals: The philosopher can automatically trump any card played against them. Suppose some surly neo-Freudian interrupts me at the point where I assert that “there’s nowhere else to go.” Nonsense, he says. “I’ll give you a psychological-slash-reductive explanation of why philosophers do what they do, and this explanation will have nothing to do with ‛ideas’ or ‛reasoning,’ and everything to do with culturally determined modes of expression mixed with individual depth psychology.” Ah, but I can reply, “Indeed? And what is your justification for asserting that such an explanation is true?” We see where this has to go: We’re back to doing philosophy. My surly interlocutor has been trumped. My question doesn’t arise out of any real insight or depth, but he can’t very well deny that it’s reasonable and meaningful. And nor can he claim that it has an answer within his discipline. — J
I don't think it follows that one discipline is more primordial/foundational than another based on the "what is your justification for this?" question's recursive nature. I will spell out why.
Asking the question "What's your justification for this this?" is recursive. Call asking that question of an assertion X the function Q( X ), which I'll just assume maps to another assertion X'. Every assertion occurs in a context, and call the mapping from an assertion of X to its context C( X ). I'm going to leave 'context' undefined for now, and just assume that every assertion has a context of utterance that makes it understandable, and some rules that characterise that context.
Some contexts will have properties that make their rules philosophical. If a context is characterised by rules of philosophy - again stipulate that such rules are comprehensible and recognisable -, say that that context has the property Phil.
The quote says that for every statement X, there exists a number of recursions of Q^n ( X ), mapping an assertion to its justification, such that Q^n( X ) has a context C characterised by Phil. You can grant that, but you might wonder why such a thing would render philosophy
the "top level". Roughly what this claim states is that asking for justification eventually terminates in philosophy, but there's no particular argument for the uniqueness of the termination. The statement in the quote construes Phil as the demarcation between a fixed set of Q and other sets. There's a question about the uniqueness of the fixed set - why does asking that question eventually lead to philosophy?
When Hegel compares this image to the way a philosophical idea develops, he points out that nature must exist in time, so this development is necessarily time-sequential. But he emphasizes that, again, being last in a sequence is not what he means by “highest” or “last” philosophy. We are speaking of a dialectical process in which each stage retains or “sublates” the former one. Ideas reveal themselves as a theoretical unity, they do not grow or develop in time, like a plant. That would be like saying that 3 “comes before” 4 according to a clock measurement. This coming-before is surely not temporal. Rather, we perceive the sequence in one glance, so to speak, and can recognize that what is last has to be last, but not in the way that events in time are last. — J
The iteration of Q also induces an order on contexts. If you consider the sequence X, Q( X ), Q^2 ( X ) ..., Q^n ( X ) and so on, you could treat that as defining an order on the contexts. Which would just be C( X ), C(Q( X ) ), C(Q^2 ( X ) ), each context has its place in the order given by the number of recursions of Q it is evaluated of.
If you showed that for every initial X there existed an n such that C(Q^n ( X ) ) = Phil, you would have some kind of "termination in philosophy".
At this point, if we want to, we can shrug our shoulders and declare nothing of interest here. Or we could keep the Hegelian glasses on and speculate that philosophy is “last” or “concluding” because it represents a true limit of something beyond mere argumentation. If we go full-on Hegelian, we would describe this something as Idea, or Spirit. But we could also say, more modestly, that the limits of inquiry may also show us the limits of being. As mentioned earlier, this requires a monistic turn, a suspicion that what is true of thought must be true of being as well. We have all read Irad Kimhi by now ( :joke: ) so we know how complicated this can get. But, again more modestly, all I’m pointing to is this: If there is an important connection between what can be thought and what exists, then it must include a thesis about self-reflection, and the limits of inquiry, and how these limits are related to what exists. — J
But the relationship between the termination of the sequence of contexts in Phil and any properties of the recursive function Q remains unspecified. Why Q has the (alleged?) properties it has is something hitherto unexamined.
I do notice a bit of a landmine in this discussion, however. There is a presumption that Q can be meaningfully applied to any assertion X which is reached by some application of Q. Roughly this means that any assertion is in the domain of Q. Why would this be the case, when we know that questions generically also occur in contexts that determine their conditions of meaningful answer?
A ) For example, if you have 2+2=4, and someone asks why, you better give a mathematical answer.
B ) If you ask why Frodo had to bear the ring, you better give an answer in terms of Lord of the Rings.
In both cases, if you ceased talking in the initial context of assertion, you would no longer be providing relevant information about the question. That isn't necessarily a bad thing, since contexts tend to relate to each other even if they are distinct (but have fuzzy boundaries). What I suspect is producing the termination in Phil, if it indeed happens, is that it is a property of Q itself rather than any of the assertions it is applied to.
Here's an example of a chain that doesn't terminate in philosophy. So if X is "Frodo bears the ring", Q( X ) would be the answer to "How do you justify that Frodo bears the ring?", which would be "I read it in the book"... And someone asks you why... And you assert you read it in the book. And someone asks you why. And you assert you read it in the book. Which, I hope we can agree, is not a termination in philosophy. It's about basic reading comprehension.
It thus seems to me to be a big extrapolation to imagine that every image of Q's context tends more and more to philosophy. What ensures that Q( X ) has this convergent property? And what ensures the convergence always goes to philosophy? How do you argue that the convergence goes to philosophy without already arguing that philosophy interrogates the context of all contexts.