(Reminder: Parmenides puzzle number one is, how can we think what is not the case? Number two is, how can we talk about what is not the case, even to say that it is not?)
Here's
most of the footnote on pages 9 and 10. This is not an argument
per se, but does lay out pretty well what Kimhi takes himself to be up to in relation to early-ish analytic philosophy.
(1) no objection
Over the course of its history, analytic philosophy has associated different modes of non-existence with different components of a simple proposition. One of the early contributions of the tradition was the construal of non-existence claims as concerning the extensions of predicates through the use of quantifiers.
(2) also fine
Once issues of non-existence that could be understood in terms of empty extensions of predicates were set aside, the interest of analytic philosophers turned to the mode of non-existence associated with the singular term in a simple proposition, and hence to issues such as the status of vacuous names and fictional entities
(3) an eyebrow is raised
While the problems of intentionality and non-existence, analytic philosophers remained notably untroubled by the problems under discussion here— ones that arise in connection with the proposition as a whole. [ The grammar here evades me, and we may be missing a word. ]
(4) a fateful decision
The adoption of the force / content distinction allowed them to construe that which is true / false or is / is-not the case (e.g., a thought, a sentence, a state of affairs) as having its own existence independent of that conferred upon it through the veridical use of the verb “to be.” [ That is, the use of it to mean "is the case". ] Hence they were assured by the force / content distinction that the existence of the underlying propositional whole is guaranteed.
(5) and this is the result
Analytic philosophy thus became completely unconcerned with the problem of non-existence associated with the propositional whole—hence with the difficulties raised by Parmenidean puzzles.
(6) which we decry
The aim of this work is to show that the very notion of a forceless truth-bearer is an illusion through and through, and hence that the difficulties of non-existence associated with the propositional whole—precisely those which are at issue in those puzzles— are inescapable.
TL;DR Kimhi is a proposition skeptic.
He is not the first. Quine was a proposition skeptic, and his issue was indeed with the "propositional whole"; he concluded that our beliefs face the tribunal of evidence
en masse. The atomic proposition, Quine argued, was a myth. (Quine effectively declared the end of early analytic philosophy here, and suggested his new "logical empiricism" was in the tradition of American pragmatism.)
Kimhi's proposition skepticism is different; he objects, so far as he indicates here, not to atomicity, but to forcelessness. It is the force / content distinction, he says, that
allows philosophers to attribute to propositions independent existence.
This would be an interesting choice. Who believes in atomicity anymore? It's been on the outs for half a century.
What might Kimhi find attractive about it?
If it turns out Kimhi is
not committed to atomicity, then the proposition is already dead and does not need killing. Perhaps he is not convinced by the previous reports of its death.
Read and re-read part (4) up there. That's the heart of it (but y'all were talking historical context, so you got it).
(4) says not that there are no atomic propositions, but that their existence is "conferred upon" them by the veridical use of "to be", that is, by what we have been calling 'judgment' or 'assertion'.
This does indeed look like the hylomorphic claim that "what you say is the case" exists only immanently in your saying so, not independently as we all suppose Frege to believe. (As variously Aristotle,
@Leontiskos and I have suggested.)
In a sense, this claim alone solves the Parmenides puzzles! Or at least the second one. By speaking, we can bring into existence an atomic proposition; we need only say that something is or is not the case. There is no reliance on anything else here, nothing that would be needed to support the existence of our atomic proposition (no "negative fact" for instance, no missing truthmaker). It is entirely within our power.
(He will say something similar about thinking, not relying on anything external to itself.)
What do we think about Kimhi's in-the-moment atomic propositions?
Is that something worth having?
Is it something we will get to keep, or will the various arguments against atomicity sweep these away too?