Ahh, the light goes on. Got it, thanks. — J
Ok., good. Before I go on – if it seems worth going on – I might go over what I'm up to. Again, I haven't access to Kimhi, so can't address the book directly. But then it appears that you are after a better understanding of the context anyway, so rehearsing Frege may be useful.
So at issue is
something to do with force, but
what is contentious.
In my first post I went over illocutionary force, which we can differentiate from the propositional content of an utterance. Frege, and logic, moved from prefixing"I know..." to something more like "I can write..." over time. To be sure, what Frege does is not to set illocutionary force aside so much as to set it as the default in which all his formulations are couched: his judgment-stroke.
Setting illocutionary force aside allowed a focus on other aspects of language within the scope of illocutionary force.
In my second post I reviewed sense and reference, that we can use different and diverse words to talk about the very same thing, but for our purpose in doing the logic at hand what counts is the thing, not how it is differentiated from other things. So 'Venus' and 'Hesperus' are to be teated as picking out the same thing, and 'Ruth' and 'Richard's sibling' similarly pick out the very same person.
This led to the third post, in which I hope I made it explicit that what setting aside sense and keeping reference allowed us to do was to develop an extensional logic, allowing for developments that allowed truth to be set out in terms of satisfaction.
Looking at the process in reverse, we have some structure to which we give an interpretation, a sense and a use. Satisfaction, and so to a great extent truth, enter into the process if at all at the level of interpretation.
So now back to your OP. You talk of a two-step process, the first step is the observation that "...logical or functional sense is a feature of repeatable occurrences of p", the second that "...a proposition cannot contain assertoric force as part of its logical structure"; and the conclusion is that "...assertoric force is necessarily dissociated from predication".
I'm understanding the first to be something like that the "a" in
is the same in both occurrences. Without this, it would be hard to do anything that looked at the structure of our sentences; indeed it'd be difficult to understand how language could function if this were not so.
The second is perhaps what inspired Frege to place the assertic element – the judgement stroke – so that his logical expressions sit within it's scope. It's a clever move, setting the force aside so that we can focus on other structures.
The conclusion I suspect is too strong. I'm not keen in including "necessarily". Seems as what is needed is just to be able to set the force to one side in order to consider the propositional content. So I'd say "...assertoric force may be dissociated from predication".
I think this sort of thing quite central to logic. Earlier I reminded us that "the grass is green" could be an assertion, a question or a command. Which, depends on what is being done with it. Similarly, there are many ways to parse the same sentence in logical terms. So we might, if our purpose is general enough, need do no more than to parse "grass is green" as "p", a single proposition. That's all we would need to include it in a simple argument. But if we need to bring out a different aspect, say that all grass is green, we might present it as U(x)f(x)⊃g(x) – for all x, if it is grass then it is green. Or we might treat "...is green" as a predicate and "grass" as a noun, and just write "g(a)" – grass is green. We might even pars it as "∃x((Grass(x) ∧ Green(x))", roughly "something is both grass and green", safely leaving it open for grass that is not green and green things that are not grass. The point being that "grass is green" can be understood in many, many different ways. It would be odd to think there was one, true parsing. We pars our utterances differently depending on what aspect of them we would focus on, sometimes focusing on illocutionary force, sometimes on truth value, sometimes on differing quantifications, and so on.
Anyway, that will do for now.