Some sharp, interesting comments and questions here. Let me start with a quote from
@Srap TasmanerAre we to proceed as if there is a fact of the matter here? Do we expect to discover that force is or is not part of a sentence's logical form, as we might discover, I don't know, humans reached North America tens of thousands of years earlier than we thought? — Srap Tasmaner
No, the way the we use terms like “force” doesn’t reveal facts about the world in the way natural history does. Such terms are, as you say, tools. But that is not the same thing as saying there is no fact of the matter as to whether hallowed terms like “being” and “truth” reflect genuine ontological structures. They may or they may not – it depends on what we
mean by them, what we want such terms to describe. We can’t go out and discover this, any more than we can discover that the number 2 precedes 3 and follows 1.
The takeaway here is that “ontologically superior languages,” to use
@Leontiskos’s phrase, might be precisely those which are the most useful to us, as you seem to suggest. But this does require one to drop the idea of a truth about ontology that is independent of hermeneutics. Which relates to this from Leontiskos:
for Frege the ontological question is not moot, and Frege did not consider his system to be a strategic, pragmatic deployment. — Leontiskos
Yes to the pragmatic part (or at least I don’t know where in Frege to look for that kind of language), but we should be careful about Frege’s ontological commitments. Again, I like Julian Roberts on this:
Existence [for Frege], in other words, is dependent on logical identification, not the other way round. Once you have named something, you can say whether it exists or not. — Julian Roberts, The Logic of Reflection
It’s true that this doesn’t moot the ontological question, but it’s a special and severe restriction on what we can say about existence. It’s also a precise description of the order in which Fregeans have to proceed: quantification first.
I see a relatively clear but restrictive theory proposed as Frege's in ↪J and clarified wonderfully in ↪Banno. I wanted to put some pressure on the restriction in it. The restriction being that an account of a sentence's "logic" ought to solely concern under what conditions is that sentence true. And moreover, in the final analysis, that logical structure of truth conditions spells out all of what is asserted in an assertion and thus how that assertion works whenever it is asserted. — fdrake
Works for me. Good way of putting it.
When one sees that Frege's system is insufficient it at the very least must be demoted to the level of a "tool." Whether J is arguing for more than this, I do not know. — Leontiskos
I’m still an undecided voter on the question of whether Frege’s system is insufficient, though I obviously regard Kimhi’s challenge as serious, otherwise I wouldn’t be devoting so much head- and forum-space to it. But let’s say it
is insufficient. Merely a tool, then? Here is another perspective, which comes closest to the spirit of the challenge in my OP: If Frege’s system is insufficient in its basic understanding of how propositions work, how they must be understood within logic, then while it may remain a powerful tool, it’s defective in explanatory power at the metalogical level. That would be very serious, but hardly unprecedented. Newtonian physics is still a powerful tool, despite getting the big picture all wrong.
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Does this Kimhi-inspired challenge question the dissociation of sense from assertoric force
tout court (completely, without qualification)? No. Then:
"Well if you aren't questioning the distinction tout court, then in precisely what way are you questioning it?" Does Kimhi have a clear answer? — Leontiskos
The claim under challenge is that assertoric force must
always be dissociated from sense. Kimhi clearly says that this is mistaken. He believes that p may sometimes appear with its force displayed – that is, as positive predication – without being asserted. And he also believes that, sometimes (usually within the context of predicate logic), the separation of force and sense is necessary and unproblematic.
To unpack this, and to stay away from the jargon of “categorematic” and “syncategorematic” (which Kimhi uses in an idiosyncratic way), I’m suggesting we think of force as something that can be displayed without assertion. And having said that, the question is whether this is just playing with words – whether the nuance I’m proposing really clarifies anything, or would change how we think about logic. To
that question I would say, “Kimhi thinks it does, but I’m not clear on it yet.”
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Both
@Leontiskos and
@Fdrake have concerns about the “I” of assertion. This is very important, in my opinion. For instance:
Have I asserted p when I write ‛p’? How can you tell?
Is there a difference between thinking p and saying it out loud? Does vocalizing p usher it across the assertion barrier?
Here is the first sentence of Camus’
The Stranger: “Mother died today.” Call it ‛p’. Has p been asserted? By whom? The narrator of the novel is named Meursault. Should we say it’s his assertion? But of course there is no Meursault. Is it then Camus’ assertion? But it’s not about his mother. Maybe it's not an assertion after all. Sure looks like one, though . . . etc. etc.
So, much as I wish I could agree with Leontiskos (it would make things so much simpler):
"I" always refers to the person speaking the sentence, does it not? — Leontiskos
I think the answer is no.
@Fdrake prefers to think of the asserter as “the person in the sentence,” and this seems closer, but demands a generous ascription of personhood.
There’s a lot more I could respond to, but enough for now. High-quality posts.