Jim,
>[Jim Willgoose:] I am playing at trying to reject it. ("poss.Bs &
poss.~Bs") I have accepted it more often than not.
Now you tell me.
>[Jim] I also understand the difference between discussing formal
properties that hold between propositions (modal or non-modal) and forming a
"1st order" proposition out of the discussion of contingent
propositions and the formal properties. This could be made clearer by
noting the following:
>[Jim] "P" is a contingent proposition
>[Jim] "P" & "-P" are feasible.
>[Jim] "&" and "feasible" are part of the metalanguage used to
discuss contingent propositions.
>[Jim] "feas. P" & "feas.-P" are ill-formed.
>[Jim] Explanation: "Feasibility" is a 2nd order predicate used to
discuss....
It does appear that you understand the difference, though the example could
be misleading. We often do not have distinct words for the object and the sign,
and, even in the case of the word "true" where we can distinguish "true"
(corresponding to the real, to the genuine, etc.) from "real," "genuine,"
etc., nevertheless the word "true" does double duty and we do use the
word "true" about objects in order to call them genuine, real, authentic,
rather than in order to call them signs corresponding to the real. In the
cases of "possible," "feasible," etc., we're not always going to have enough
words to make the distinction easily. Thus saying that some proposition "Hs" is
feasible could be taken to mean that "Hs" is something which
is feasible as a proposition. Thus formal logic has functors and
ordinary English has adverbs which grammatically modify the whole
clause. Some of the functors are too powerful for 1st-order logic, and
whether or not we formalize them as modifying (describing) the proposition or as
altering the attribution of a modification to a substance or re-routing the
denotative force (e.g., to "another than x" or to "inverted order of xyz"), the
basic difference is that, in attributing a modification to a substance, we do
not change which modification or which substance we're discussing. On the other
hand, in "modifying" a modification or its attribution, by negation or
modalizing, etc., we _are_ changing and even reversing what it is that we're
attributing to the substance. In rerouting the denotative force, we're changing
which objects we're characterizing as such-&-such. I mean, for instance,
"another thing than this stove" is not a kind of this stove, and that "red dog"
is a kind of dog, but "nonred dog" is not a kind of red dog and "non-canine" is
not a kind of canine, "possibly canine" is not a kind of canine, etc. One may
feel more comfortable by thinking in terms of a sign which can be described as
not corresponding to a given obect, or as possibly corresponding to given
object, so that one is dealing with various kinds of the same sign. In the
construction of deductive formalisms, it's often better to avoid the syntactical
complication of formalizing adverbs as functors. But the point in philosophy is
not rephrasability, but instead to understand the result and end of such
procedures, in which the description of signs is a _means_ to
_transformations_ of extension and intension, transformations which
themselves are a means to represent real relationships. The research interest of
smoothing and smoothly "encoding" cognitions into common convenient keys
or modes guides deductive maths of propositions, predicates, etc.; but does
not guide philosophy, which is more interested in the corresponding "decoding."
Philosophy applies deductive formalisms but is no more merely applied deductive
theory of logic than statistical theory were merely applied probability theory.
_Contra_ many of the linguistic analysis school, philosophy is no more
merely _criticism_ of arguments, arguments whereof deductive
theory of logic is the _theory_, than statistical theory is merely
_criticism_ of probability propositions whereof probability theory
is the _theory_. There is such a thing as "applied probability theory"
but it is not statistical theory, and a statistical theorist who merely devised
possibly applicable probability formalisms but left the task of statistical
inference to others would be no statistical theorist.
>[Jim] This looks strangely similar to where we started in terms of
rephrasing "she is possibly pregnant" as 'it is possible that "she is pregnant"'
or ':she is pregnant" is possible.' But then, 2nd order assertions obey
the theory of NLC cognition except we talk of feasibility, optimality,
possibility and even assertibility. "Assertibility" would be an even
higher-order predicate. Wasn't your initial concern with certain epistemic
predicates that qualify "1st order" predicates?
To the contrary, my initial concern was with the categories {substance,
accident, whetherhood, and object(s)-to-object(s) relations (e.g.
mappings)}.
As I've said, the point is that the mind must be able to treat things in
terms of alternatives to the actuality with which it is presented, and all the
normal minds of which we actually know do this, even that tribe http://service.spiegel.de/cache/international/spiegel/0,1518,414291,00.html whose
language was recently found to contain none of the grammatical conjunctions
which enable the _expression_ of complex structures of such thoughts. But they do
say, just as we sometimes do, "You go there, you see it" in the sense of
"If/when you go there, you'll see it." Living among polyglot immigrants, I
hear that kind of talk all the time. Anyway, meaning and implication are in
terms of alternatives to that which is. Saying that we can and should
treat such matters in terms of descriptions of signs is like saying that
philosophy needs a mirrorish shield in order to keep from looking directly at
some Hydra-like real which would petrify philosophy. Saying that the NLC
'theory' of cognition (which seems to me no more a cognition theory than
Peircean truth theory is an inquiry theory even though it references inquiry) is
sufficient except when we talk about possibility, feasibility, etc., is --
especially if that list includes negation (you don't say) -- to deny that
there is an issue of cognizing in terms of alternatives to the actual and
apparent, etc., even though then logical conceptions of meaning and implication
become unattainable. Moreover, there is still no way to conceive of cognition of
things _as_ truly, observably, and experimentably referencing
other things, etc., since, even if the conception of meaning were available, it
provides only purports and intensions, which in some mysterious combination with
reaction and quality is supposed to suffice for
an establishmental experience.
Best, Ben Udell
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